Publications (79)
Lifting flat directions in lattice supersymmetry
Simon Catterall, David Schaich
We present a procedure to improve the lattice definition of supersymmetric Yang--Mills theory. The lattice construction necessarily involves U(1) flat directions,…
Towards quantum simulation of lower-dimensional supersymmetric lattice models
Emanuele Mendicelli, David Schaich
Supersymmetric models are grounded in the intriguing concept of a hypothetical symmetry that relates bosonic and fermionic particles. This symmetry has profound implications, offer…
Finite size scaling and the effect of the gauge coupling in 12 flavor systems
Anna Hasenfratz, Anqi Cheng, Gregory Petropoulos +1
Finite size scaling is a powerful tool to study the critical properties of systems governed by one relevant operator, assuming all irrelevant operators have scaling dimensions much…
Strongly interacting dynamics and the search for new physics at the LHC
Thomas Appelquist, Richard C. Brower, George T. Fleming +11
We present results for the spectrum of a strongly interacting SU(3) gauge theory with light fermions in the fundamental representation. Carrying out non-perturbative latt…
Lattice Studies of Two-Dimensional Maximally Supersymmetric Yang-Mills Theory for Tests of Gauge-Gravity Duality
Bana Singh Sangtan, Anosh Joseph, David Schaich
We present our ongoing work on two-dimensional maximally supersymmetric Yang-Mills (2D MSYM) theory using lattice techniques. The continuum theory is obtained from the dimensional…
Nonperturbative beta function of eight-flavor SU(3) gauge theory
Anna Hasenfratz, David Schaich, Aarti Veernala
We present a new lattice study of the discrete beta function for SU(3) gauge theory with Nf=8 massless flavors of fermions in the fundamental representation. Using the gradient flo…
Exploring strange nucleon form factors on the lattice
Ronald Babich, Richard C. Brower, Michael A. Clark +4
We discuss techniques for evaluating sea quark contributions to hadronic form factors on the lattice and apply these to an exploratory calculation of the strange electromagnetic, a…
Progress applying density of states for gravitational waves
Felix Springer, David Schaich
Many models of composite dark matter feature a first-order confinement transition in the early Universe, which would produce a stochastic background of gravitational waves that wil…
Results from lattice simulations of N=4 supersymmetric Yang--Mills
Simon Catterall, Joel Giedt, David Schaich +2
We report recent results and developments from our ongoing lattice studies of supersymmetric Yang--Mills theory. These include a proof that only a single fine-tuni…
Novel phases in strongly coupled four-fermion theories
Simon Catterall, David Schaich
We study a lattice model comprising four massless reduced staggered fermions in four dimensions coupled through an -invariant four-fermion interaction. We present both theor…
Testing the holographic principle using lattice simulations
Raghav G. Jha, Simon Catterall, David Schaich +1
The lattice studies of maximally supersymmetric Yang-Mills (MSYM) theory at strong coupling and large N is important for verifying gauge/gravity duality. Due to the progress made i…
Stealth Dark Matter: Dark scalar baryons through the Higgs portal
Thomas Appelquist, Richard C. Brower, Michael I. Buchoff +14
We present a new model of "Stealth Dark Matter": a composite baryonic scalar of an strongly-coupled theory with even . All mass scales are technically natural…
Parity Doubling and the S Parameter Below the Conformal Window
Thomas Appelquist, Ron Babich, Richard C. Brower +11
We describe a lattice simulation of the masses and decay constants of the lowest-lying vector and axial resonances, and the electroweak S parameter, in an SU(3) gauge theory with $…
Hyper Stealth Dark Matter and Long-Lived Particles
George T. Fleming, Graham D. Kribs, Ethan T. Neil +2
A new dark matter candidate is proposed that arises as the lightest baryon from a confining gauge theory which equilibrates with the Standard Model only through electroweak…
Nonperturbative phase diagram of two-dimensional super-Yang--Mills
Navdeep Singh Dhindsa, Raghav G. Jha, Anosh Joseph +1
We consider two-dimensional Yang--Mills theory with gauge group SU() in Euclidean signature compactified on a torus with thermal fermion boundary conditions…
Nonperturbative investigations of SU(3) gauge theory with eight dynamical flavors
Lattice Strong Dynamics, Collaboration, : +14
We present our lattice studies of SU(3) gauge theory with = 8 degenerate fermions in the fundamental representation. Using nHYP-smeared staggered fermions we study finite-tem…
Improving the continuum limit of gradient flow step scaling
Anqi Cheng, Anna Hasenfratz, Yuzhi Liu +2
We introduce a non-perturbative improvement for the renormalization group step scaling function based on the gradient flow running coupling, which may be applied to any lattice gau…
Aspects of lattice N=4 supersymmetric Yang--Mills
David Schaich
Non-perturbative investigations of supersymmetric Yang--Mills theory formulated on a space-time lattice have advanced rapidly in recent years. Large-scale numerica…
Phases of a strongly coupled four-fermion theory
David Schaich, Simon Catterall
We present ongoing investigations of a four-dimensional lattice field theory with four massless reduced staggered fermions coupled through an SU(4)-invariant four-fermion interacti…
Finite-temperature phase diagram of the BMN matrix model on the lattice
Raghav G. Jha, Anosh Joseph, David Schaich
We investigate the thermal phase structure of the Berenstein--Maldacena--Nastase (BMN) matrix model using non-perturbative lattice Monte Carlo calculations. Our main analyses span…
Finite size scaling of conformal theories in the presence of a near-marginal operator
Anqi Cheng, Anna Hasenfratz, Yuzhi Liu +2
The slowly evolving gauge coupling of gauge-fermion systems near the conformal window makes numerical investigations of these models challenging. We consider finite size scaling an…
Maximally supersymmetric Yang-Mills on the lattice
David Schaich, Simon Catterall
We summarize recent progress in lattice studies of four-dimensional N=4 supersymmetric Yang--Mills theory and present preliminary results from ongoing investigations. Our work is b…
Simulating Supersymmetric Quantum Mechanics Using Variational Quantum Algorithms
John Kerfoot, David Schaich, Emanuele Mendicelli
The study of spontaneous supersymmetry breaking (SSB) on the lattice is obstructed by a severe sign problem. Quantum computing provides a promising alternative approach. In particu…
Three-dimensional super-Yang--Mills theory on the lattice and dual black branes
Simon Catterall, Joel Giedt, Raghav G. Jha +2
In the large- and strong-coupling limit, maximally supersymmetric SU() Yang--Mills theory in dimensions is conjectured to be dual to the decoupling limit of a stack…
Latest results from lattice N=4 supersymmetric Yang--Mills
David Schaich, Simon Catterall, Poul H. Damgaard +1
We present some of the latest results from our numerical investigations of N=4 supersymmetric Yang--Mills theory formulated on a space-time lattice. Based on a construction that ex…
S-duality in lattice super Yang-Mills
Joel Giedt, Simon Catterall, Poul Damgaard +1
We present a progress report on studying S-duality in lattice N=4 super Yang-Mills. This is being done through a computation of 1/2-BPS states on the Coulomb branch, especially the…
An improved lattice measurement of the critical coupling in phi^4_2 theory
David Schaich, Will Loinaz
We use Monte Carlo simulations to obtain an improved lattice measurement of the critical coupling constant [lambda / mu^2]_crit for the continuum (1 + 1)-dimensional (lambda / 4) p…
Progress and prospects of lattice supersymmetry
David Schaich
Supersymmetry plays prominent roles in the study of quantum field theory and in many proposals for potential new physics beyond the standard model, while lattice field theory provi…
Maximally supersymmetric Yang--Mills in three dimensions
David Schaich, Angel Sherletov
We present the latest results from our ongoing lattice field theory investigations of maximally supersymmetric Yang--Mills theory in three space-time dimensions, focusing on its no…
Investigations of supersymmetric Yang--Mills theories
Angel Sherletov, David Schaich
We present new results from ongoing lattice investigations of supersymmetric Yang--Mills (SYM) theories in three and four space-time dimensions. First considering the maximally sup…
Novel phase in SU(3) lattice gauge theory with 12 light fermions
Anqi Cheng, Anna Hasenfratz, David Schaich
We study the phase structure of SU(3) lattice gauge theory with Nf=12 staggered fermions in the fundamental representation, for both zero and finite temperature at strong gauge cou…
Bulk and finite-temperature transitions in SU(3) gauge theories with many light fermions
David Schaich, Anqi Cheng, Anna Hasenfratz +1
We investigate finite-temperature transitions in SU(3) lattice gauge theories with Nf=8 and 12 staggered fermions in the fundamental representation. For both of these systems, we h…
Thermal phase structure of dimensionally reduced super-Yang--Mills
David Schaich, Raghav G. Jha, Anosh Joseph
We present our current results from ongoing lattice investigations of the Berenstein--Maldacena--Nastase deformation of maximally supersymmetric Yang--Mills quantum mechanics. We f…
Finite-temperature study of eight-flavor SU(3) gauge theory
David Schaich, Anna Hasenfratz, Enrico Rinaldi
We present new lattice investigations of finite-temperature transitions for SU(3) gauge theory with Nf=8 light flavors. Using nHYP-smeared staggered fermions we are able to explore…
Exploring lattice supersymmetry with variational quantum deflation
David Schaich, Christopher Culver
Lattice studies of spontaneous supersymmetry breaking suffer from a sign problem that in principle can be evaded through novel methods enabled by quantum computing. Focusing on low…
Advances in using density of states for large-N Yang--Mills
Felix Springer, David Schaich
We present work in progress using the Logarithmic Linear Relaxation (LLR) density of states algorithm to analyse first-order phase transitions in pure-gauge SU(N) Yang--Mills theor…
Direct Detection of Stealth Dark Matter through Electromagnetic Polarizability
Thomas Appelquist, Evan Berkowitz, Richard C. Brower +15
We calculate the spin-independent scattering cross section for direct detection that results from the electromagnetic polarizability of a composite scalar baryon dark matter candid…
Deconfinement Phase Transition in Bosonic BMN Model at General Coupling
Navdeep Singh Dhindsa, Anosh Joseph, Abhishek Samlodia +1
We present our analysis of the deconfinement phase transition in the bosonic BMN matrix model. The model is investigated using a non-perturbative lattice framework. We used the Pol…
Determining the mass anomalous dimension through the eigenmodes of Dirac operator
Anqi Cheng, Anna Hasenfratz, Gregory Petropoulos +1
We define a scale-dependent effective mass anomalous dimension from the scaling of the mode number of the massless Dirac operator, which connects the perturbative of an asym…
Solution of the sign problem in the Potts model at fixed fermion number
Andrei Alexandru, Georg Bergner, David Schaich +1
We consider the heavy-dense limit of QCD at finite fermion density in the canonical formulation and approximate it by a 3-state Potts model. In the strong coupling limit, the model…
Non-perturbative phase structure of the bosonic BMN matrix model
Navdeep Singh Dhindsa, Raghav G. Jha, Anosh Joseph +2
We study the bosonic part of the BMN matrix model for wide ranges of temperatures, values of the deformation parameter, and numbers of colors . Using lattice com…
invariant Higgs-Yukawa model with reduced staggered fermions
Nouman Butt, Simon Catterall, David Schaich
We explore the phase structure of a four dimensional invariant lattice Higgs-Yukawa model comprising four reduced staggered fermions interacting with a real scalar field. T…
Lattice QCD and Particle Physics
Andreas S. Kronfeld, Tanmoy Bhattacharya, Thomas Blum +79
Contribution from the USQCD Collaboration to the Proceedings of the US Community Study on the Future of Particle Physics (Snowmass 2021).
Approaching Conformality with Ten Flavors
Thomas Appelquist, Richard C. Brower, Michael I. Buchoff +13
We present first results for lattice simulations, on a single volume, of the low-lying spectrum of an SU(3) Yang-Mills gauge theory with ten light fermions in the fundamental repre…
Improved Lattice Renormalization Group Techniques
Gregory Petropoulos, Anqi Cheng, Anna Hasenfratz +1
We compute the bare step-scaling function for SU(3) lattice gauge theory with massless fundamental fermions, using the non-perturbative Wilson-flow-optimized Monte…
Mass anomalous dimension from Dirac eigenmode scaling in conformal and confining systems
Anna Hasenfratz, Anqi Cheng, Gregory Petropoulos +1
The mode number of the Dirac operator scales with an exponent related to the mass anomalous dimension gamma_m. This relation holds both in IR-conformal systems, as well as in confi…
Lattice Gauge Theory for Physics Beyond the Standard Model
Richard C. Brower, Anna Hasenfratz, Ethan T. Neil +7
This document is one of a series of whitepapers from the USQCD collaboration. Here, we discuss opportunities for lattice field theory research to make an impact on models of new ph…
Lattice study of ChPT beyond QCD
Ethan T. Neil, Adam Avakian, Ron Babich +10
We describe initial results by the Lattice Strong Dynamics (LSD) collaboration of a study into the variation of chiral properties of chiral properties of SU(3) Yang-Mills gauge the…
Testing holography using lattice super-Yang--Mills on a 2-torus
Simon Catterall, Raghav G. Jha, David Schaich +1
We consider maximally supersymmetric SU(N) Yang--Mills theory in Euclidean signature compactified on a flat two-dimensional torus with anti-periodic (`thermal') fermion boundary co…
Eigenvalue spectrum and scaling dimension of lattice supersymmetric Yang-Mills
Georg Bergner, David Schaich
We investigate the lattice regularization of supersymmetric Yang-Mills theory, by stochastically computing the eigenvalue mode number of the fermion operator. Thi…
Parallel software for lattice N=4 supersymmetric Yang--Mills theory
David Schaich, Thomas DeGrand
We present new parallel software, SUSY LATTICE, for lattice studies of four-dimensional supersymmetric Yang--Mills theory with gauge group SU(N). The lattice actio…
Near-conformal dynamics in a chirally broken system
Thomas Appelquist, Richard C. Brower, Kimmy K. Cushman +11
Composite Higgs models must exhibit very different dynamics from quantum chromodynamics (QCD) regardless whether they describe the Higgs boson as a dilatonlike state or a pseudo-Na…
Thermal phase structure of a supersymmetric matrix model
David Schaich, Raghav G. Jha, Anosh Joseph
We present initial results from ongoing lattice investigations into the thermal phase structure of the Berenstein--Maldacena--Nastase deformation of maximally supersymmetric Yang--…
Exotic Phases of a Higgs-Yukawa Model with Reduced Staggered Fermions
Simon Catterall, Nouman Butt, David Schaich
We investigate the phase structure of a four dimensional SO(4) invariant lattice Higgs-Yukawa model comprising four reduced staggered fermions interacting with a real scalar field.…
Exploring conformality in lattice N=4 supersymmetric Yang--Mills
David Schaich
Maximally supersymmetric Yang--Mills theory (N=4 SYM) is conformal for any value of the coupling. Lattice regularization breaks conformality through the introduction of a non-zero…
Stealth dark matter spectrum using LapH and Irreps
Richard C. Brower, Christopher Culver, Kimmy K. Cushman +17
We present non-perturbative lattice calculations of the low-lying meson and baryon spectrum of the SU(4) gauge theory with fundamental fermion constituents. This theory is one inst…
Lattice studies of supersymmetric gauge theories
David Schaich
Supersymmetry plays prominent roles in the study of quantum field theory and in many proposals for potential new physics beyond the standard model. Lattice field theory provides a…
Eight light flavors on large lattice volumes
David Schaich
I present first results from large-scale lattice investigations of SU(3) gauge theory with eight light flavors in the fundamental representation. Using leadership computing resourc…
S parameter and parity doubling below the conformal window
David Schaich
Recently the Lattice Strong Dynamics Collaboration reported a reduction of the electroweak S parameter for SU(3) gauge theory with Nf=6 fermions in the fundamental representation,…
Lattice Studies of 3D Maximally Supersymmetric Yang--Mills
Angel Sherletov, David Schaich
We present ongoing investigations of maximally supersymmetric Yang--Mills ( SYM) theory in three space-time dimensions. At low temperatures and large this theory is rel…
Quantum Computing for the Wess-Zumino Model
Christopher Culver, David Schaich
Future quantum computers will enable novel sign-problem-free studies of dynamical phenomena in non-perturbative quantum field theories, including real-time evolution and spontaneou…
WW Scattering Parameters via Pseudoscalar Phase Shifts
Thomas Appelquist, Ron Babich, Richard C. Brower +15
Using domain-wall lattice simulations, we study pseudoscalar-pseudoscalar scattering in the maximal isospin channel for an SU(3) gauge theory with two and six fermion flavors in th…
Quantum computing for lattice supersymmetry
Christopher Culver, David Schaich
Quantum computing promises the possibility of studying the real-time dynamics of nonperturbative quantum field theories while avoiding the sign problem that obstructs conventional…
Lattice Gauge Theories at the Energy Frontier
Thomas Appelquist, Richard Brower, Simon Catterall +6
This White Paper has been prepared as a planning document for the Division of High Energy Physics of the U. S. Department of Energy. Recent progress in lattice-based studies of phy…
Nonperturbative beta function of twelve-flavor SU(3) gauge theory
Anna Hasenfratz, David Schaich
We study the discrete beta function of SU(3) gauge theory with Nf=12 massless fermions in the fundamental representation. Using an nHYP-smeared staggered lattice action and an impr…
First-order bulk transitions in large- lattice Yang--Mills theories using the density of states
Felix Springer, David Schaich, Enrico Rinaldi
We use the Logarithmic Linear Relaxation (LLR) density of states algorithm to study the bulk phase transitions of pure-gauge SU() lattice Yang--Mills theories with $4 \leq N \le…
Stealth dark matter and gravitational waves
David Schaich
I present first results from ongoing lattice investigations into the finite-temperature dynamics of stealth dark matter, which adds to the standard model a new SU(4) gauge sector w…
Toward TeV Conformality
Thomas Appelquist, Adam Avakian, Ron Babich +11
We study the chiral condensate for an SU(3) gauge theory with massless Dirac fermions in the fundamental representation when is increased from 2 to 6. For…
MCRG study of 8 and 12 fundamental flavors
Gregory Petropoulos, Anqi Cheng, Anna Hasenfratz +1
We study the renormalization group properties of SU(3) gauge theories with N_f=8 and 12 nearly-massless fermions, using Monte Carlo Renormalization Group (MCRG) two-lattice matchin…
Density of states for gravitational waves
Felix Springer, David Schaich
We present ongoing investigations of the first-order confinement transition of a composite dark matter model, to predict the resulting spectrum of gravitational waves. To avoid lon…
Moebius Algorithm for Domain Wall and GapDW Fermions
Ronald Babich, Richard Brower, Kostas Orginos +3
The Möbius domain wall action \cite{Brower:2004xi} is a generalization of Shamir's action, which gives exactly the same overlap fermion lattice action as the separation () be…
Holography on the lattice: Evidence from 3D supersymmetric Yang--Mills theory
Anosh Joseph, David Schaich
We present new results from our lattice investigations of maximally supersymmetric Yang--Mills theory in three dimensions, focusing on its nonperturbative phase diagram. Using a la…
Large- limit of two-dimensional Yang--Mills theory with four supercharges
Navdeep Singh Dhindsa, Raghav G. Jha, Anosh Joseph +1
We study the two-dimensional Yang--Mills theory with four supercharges in the large- limit. By using thermal boundary conditions, we analyze the internal energy and the distribu…
Scale-dependent mass anomalous dimension from Dirac eigenmodes
Anqi Cheng, Anna Hasenfratz, Gregory Petropoulos +1
We investigate the eigenmodes of the massless Dirac operator to extract the scale-dependent fermion mass anomalous dimension gamma_m(mu). By combining simulations on multiple latti…
N=4 Supersymmetry on a Space-Time Lattice
Simon Catterall, Poul H. Damgaard, Thomas DeGrand +2
Maximally supersymmetric Yang--Mills theory in four dimensions can be formulated on a space-time lattice while exactly preserving a single supersymmetry. Here we explore in detail…
Hybrid Monte Carlo simulation on the graphene hexagonal lattice
Richard Brower, Claudio Rebbi, David Schaich
One of the many remarkable properties of graphene is that in the low energy limit the dynamics of its electrons can be effectively described by the massless Dirac equation. This ha…
Quantum Variational Methods for Supersymmetric Quantum Mechanics
John Kerfoot, Emanuele Mendicelli, David Schaich
We employ quantum variational methods to investigate a single-site interacting fermion-boson system -- an example of a minimal supersymmetric model that can exhibit spontaneous sup…
Composite bosonic baryon dark matter on the lattice: SU(4) baryon spectrum and the effective Higgs interaction
Thomas Appelquist, Evan Berkowitz, Richard C. Brower +16
We present the spectrum of baryons in a new SU(4) gauge theory with fundamental fermion constituents. The spectrum of these bosonic baryons is of significant interest for composite…
Reaching the chiral limit in many flavor systems
Anna Hasenfratz, Anqi Cheng, Gregory Petropoulos +1
We present a brief overview of our recent lattice studies of SU(3) gauge theory with N_f = 8 and 12 fundamental fermions, including some new and yet-unpublished results. To explore…