Higher representations on the lattice: numerical simulations. SU(2) with adjoint fermions

Abstract

We discuss the lattice formulation of gauge theories with fermions in arbitrary representations of the color group, and present in detail the implementation of the HMC/RHMC algorithm for simulating dynamical fermions. We discuss the validation of the implementation through an extensive set of tests, and the stability of simulations by monitoring the distribution of the lowest eigenvalue of the Wilson-Dirac operator. Working with two flavors of Wilson fermions in the adjoint representation, benchmark results for realistic lattice simulations are presented. Runs are performed on different lattice sizes ranging from 4^3x8 to 24^3x64 sites. For the two smallest lattices we also report the measured values of benchmark mesonic observables. These results can be used as a baseline for rapid cross-checks of simulations in higher representations. The results presented here are the first steps towards more extensive investigations with controlled systematic errors, aiming at a detailed understanding of the phase structure of these theories, and of their viability as candidates for strong dynamics beyond the Standard model.

16 pages, 12 figures, 6 tables. Published version

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Cited by in corpus (138)

• Fermion Interactions and Universal Behavior in Strongly Interacting Theories
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• Evolution of the coupling constant in SU(2) lattice gauge theory with two adjoint fermions
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• Hyperscaling relations in mass-deformed conformal gauge theories
• UV and IR Zeros of Gauge Theories at The Four Loop Order and Beyond
• Light Asymmetric Dark Matter on the Lattice: SU(2) Technicolor with Two Fundamental Flavors
• The infrared dynamics of Minimal Walking Technicolor
• Technicolor Walks at the LHC
• Mass anomalous dimension in SU(2) with two adjoint fermions
• Sp(4) gauge theory on the lattice: towards SU(4)/Sp(4) composite Higgs (and beyond)
• Conformality or confinement: (IR)relevance of topological excitations
• RG Flows and Bifurcations
• Infrared fixed point in SU(2) gauge theory with adjoint fermions
• SU(2) Gauge Theory with Two Fundamental Flavours: a Minimal Template for Model Building
• Fundamental Composite Electroweak Dynamics: Status at the LHC
• Mesonic spectroscopy of Minimal Walking Technicolor
• Conformal Windows of SP(2N) and SO(N) Gauge Theories
• Composite Goldstone Dark Matter: Experimental Predictions from the Lattice
• Discovering Technicolor
• Sp(4) gauge theories on the lattice: $N_f=2$ dynamical fundamental fermions
• Conformal or Walking? Monte Carlo renormalization group studies of SU(3) gauge models with fundamental fermions
• A precise determination of the psibar-psi anomalous dimension in conformal gauge theories
• Determining the conformal window: SU(2) gauge theory with N_f = 4, 6 and 10 fermion flavours
• Unparticle & Higgs as Composites
• Conformal Window of Gauge Theories with Four-Fermion Interactions and Ideal Walking
• Infrared fixed point of the 12-fermion SU(3) gauge model based on 2-lattice MCRG matching
• The infrared regime of SU(2) with one adjoint Dirac flavour
• Sp(4) gauge theories on the lattice: Quenched fundamental and antisymmetric fermions
• Mass anomalous dimension in SU(2) with six fundamental fermions
• Thermodynamics of lattice QCD with 2 flavours of colour-sextet quarks: A model of walking/conformal Technicolor
• Improved Lattice Spectroscopy of Minimal Walking Technicolor
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• The Electroweak Phase Transition in Nearly Conformal Technicolor
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• Flavor Dependence of the S-parameter
• Large $N_c$ scaling of meson masses and decay constants
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• The Large $N_c$ limit of QCD on the lattice
• Global Structure of Conformal Theories in the SU(3) Gauge Theory
• Perturbative calculation of the clover term for Wilson fermions in any representation of the gauge group SU(N)
• Phases of Gauge Theories
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• Multi-Representation Dynamics of SU(4) Composite Higgs Models: Chiral Limit and Spectral Reconstructions
• GMOR-like relation in IR-conformal gauge theories
• Ergodic sampling of the topological charge using the density of states
• Gauge invariant determination of charged hadron masses
• $Sp(2N)$ Yang-Mills theories on the lattice: scale setting and topology
• Bose-Fermi cancellations without supersymmetry
• Gradient Flow Coupling in the SU(2) gauge theory with two adjoint fermions
• Probing center vortices and deconfinement in $\mathrm{SU}(2)$ lattice gauge theory with persistent homology
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• Strong coupling from non-equilibrium Monte Carlo simulations
• The Electroweak Phase Transition in Ultra Minimal Technicolor
• Probing technicolor theories with staggered fermions
• Chiral symmetry breaking and confinement: separating the scales
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• Investigating the conformal behaviour of SU(2) with one adjoint Dirac flavor
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• Sextet Model with Wilson Fermions
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• Technicolor and Beyond: Unification in Theory Space
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• Non-perturbatively improved clover action for SU(2) gauge + fundamental and adjoint representation fermions
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• W' and Z' limits for Minimal Walking Technicolor
• Large-volume results in SU(2) with adjoint fermions
• Finite Temperature Phase Diagrams of Gauge Theories
• Improved Spectroscopy of Minimal Walking Technicolor
• Comparison of smoothening flows for the topological charge in QCD-like theories
• Spectrum of orientifold QCD in the strong coupling and hopping expansion approximation
• Non-perturbative decoupling of massive fermions
• (Near) Conformal Technicolor: What is really new?
• Tuning the Hybrid Monte Carlo algorithm using molecular dynamics forces' variances
• BSMBench: a flexible and scalable supercomputer benchmark from computational particle physics
• Perturbative improvement of SU(2) gauge theory with two Wilson fermions in the adjoint representation
• Beyond the Standard Model: Charting Fundamental Interactions via Lattice Simulations
• Mass Anomalous Dimension at Large N
• The $\pi \pi$ scattering amplitude at large $N_{\text{c}}$
• Spectrum of SU(2) gauge theory with two fermions in the adjoint representation
• Systematic Errors of the MCRG Method
• Persistent homology as a probe for center vortices and deconfinement in SU(2) lattice gauge theory
• Dark matter from one-flavor SU(2) gauge theory
• Lattice Gauge Theory and (Quasi)-Conformal Technicolor
• High precision applications of lattice gauge theories in the quest for new physics
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• Orientifold Planar Equivalence: The Chiral Condensate
• Gauge-fixed Lattice QCD and the dispersion relation of Wilson fermions
• Clover fermions in the adjoint representation and simulations of supersymmetric Yang-Mills theory
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