Twisted mass lattice QCD

Abstract

I review the theoretical foundations, properties as well as the simulation results obtained so far of a variant of the Wilson lattice QCD formulation: Wilson twisted mass lattice QCD. Emphasis is put on the discretization errors and on the effects of these discretization errors on the phase structure for Wilson-like fermions in the chiral limit. The possibility to use in lattice simulations different lattice actions for sea and valence quarks to ease the renormalization patterns of phenomenologically relevant local operators, is also discussed.

v2. 143 pages, 28 figures. Sect. 2 now split in two sections. Several improvements for better readability. Typos corrected. Added 2 figures. Added references. Clarifications on few points. Conclusions and results unchanged. Version published on Physics Report

References in corpus (47)

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• Speeding up the Hybrid-Monte-Carlo algorithm for dynamical fermions
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• On the Schroedinger functional in QCD
• Chirally improving Wilson fermions II. Four-quark operators
• Finite volume effects for meson masses and decay constants
• Schwarz-preconditioned HMC algorithm for two-flavour lattice QCD
• HMC algorithm with multiple time scale integration and mass preconditioning
• Twisted-mass lattice QCD with mass non-degenerate quarks
• Precise Determination of |V{us}| from Lattice Calculations of Pseudoscalar Decay Constants
• Speeding up Lattice QCD simulations with clover-improved Wilson Fermions
• One-loop renormalization of the QCD Schrödinger functional
• Non-Perturbative Renormalization of Lattice Four-Fermion Operators without Power Subtractions
• Reducing cutoff effects in maximally twisted lattice QCD close to the chiral limit
• Kaon B parameter from quenched Lattice QCD
• Pion mass splitting and phase structure in Twisted Mass QCD
• On the phase structure of twisted mass lattice QCD
• The phase structure of lattice QCD with two flavours of Wilson quarks and renormalization group improved gluons
• Twisted mass quarks and the phase structure of lattice QCD
• Chiral perturbation theory for lattice QCD with a twisted mass term
• Finite-Temperature Phase Structure of Lattice QCD with Wilson Quark Action
• Universality and scaling behavior of RG gauge actions
• Twisted mass QCD and lattice approaches to the $\Delta I=1/2$ rule
• Numerical simulation of QCD with u, d, s and c quarks in the twisted-mass Wilson formulation
• Non-perturbative Pion Matrix Element of a twist-2 operator from the Lattice
• Lattice Spacing Dependence of the First Order Phase Transition for Dynamical Twisted Mass Fermions
• Exploring the phase structure of lattice QCD with twisted mass quarks
• Multiple molecular dynamics time-scales in Hybrid Monte Carlo fermion simulations
• Simulating the Schroedinger functional with two pseudo-fermions
• B_K from quenched QCD with exact chiral symmetry
• Flavour symmetry restoration and kaon weak matrix elements in quenched twisted mass QCD
• BK from the lattice with Wilson quarks
• Quenched twisted mass QCD at small quark masses and in large volume
• Finite-Temperature Phase Structure of Lattice QCD with the Wilson Quark Action for Two and Four Flavors
• The Aoki phase for N_f=2 Wilson fermions revisited
• K0-K0bar mixing from the Schroedinger functional and twisted mass QCD
• An Estimate of the K0-K0bar Mixing Amplitude
• Resolving Exceptional Configurations in Quenched Lattice QCD
• Two--dimensional lattice Gross--Neveu model with Wilson twisted mass fermions
• Accelerating Hasenbusch's acceleration of Hybrid Monte Carlo
• Sea quark effects in B_K from N_f=2 clover-improved Wilson fermions

Cited by in corpus (98)

• Light hadrons from lattice QCD with light (u,d), strange and charm dynamical quarks
• Light Meson Physics from Maximally Twisted Mass Lattice QCD
• Heavy Quarkonium in Extreme Conditions
• Light Hadron Masses from Lattice QCD
• Hadron structure from lattice quantum chromodynamics
• The QCD equation of state from the lattice
• Pseudoscalar decay constants of kaon and D-mesons from Nf=2 twisted mass Lattice QCD
• Light baryon masses with dynamical twisted mass fermions
• Axial Nucleon form factors from lattice QCD
• Twisted mass chiral perturbation theory at next-to-leading order
• Phenomenology of a Gauged SU(3)^3 Flavour Model
• Neutral Kaon Mixing Beyond the Standard Model with $n_f=2+1$ Chiral Fermions Part 1: Bare Matrix Elements and Physical Results
• Chiral observables and topology in hot QCD with two families of quarks
• Meson masses and decay constants from unquenched lattice QCD
• Nucleon electromagnetic form factors in twisted mass lattice QCD
• Moments of nucleon generalized parton distributions from lattice QCD
• A proposal for B-physics on current lattices
• The eta' meson from lattice QCD
• Sigma terms and strangeness content of the nucleon with $N_f=2+1+1$ twisted mass fermions
• Hadron-Hadron Interactions from $N_f=2+1+1$ Lattice QCD: isospin-2 $\pi \pi$ scattering length
• Lattice continuum-limit study of nucleon quasi-PDFs
• The thermal QCD transition with two flavours of twisted mass fermions
• Improvement, generalization, and scheme conversion of Wilson-line operators on the lattice in the auxiliary field approach
• Radiative transitions in charmonium from $N_f=2$ twisted mass lattice QCD
• Chiral condensate from the twisted mass Dirac operator spectrum
• Masses of $D$ mesons, $D_s$ mesons and charmonium states from twisted mass lattice QCD
• Lambda_msbar from the static potential for QCD with n_f=2 dynamical quark flavors
• One-loop renormalization of staple-shaped operators in continuum and lattice regularizations
• Landau gauge gluon and ghost propagators from lattice QCD with Nf=2 twisted mass fermions at finite temperature
• η and η' mesons from Nf=2+1+1 twisted mass lattice QCD
• Lattice QCD based on OpenCL
• Non-perturbative renormalization in coordinate space for $N_f=2$ maximally twisted mass fermions with tree-level Symanzik improved gauge action
• Non-perturbative Test of the Witten-Veneziano Formula from Lattice QCD
• Twisted Mass, Overlap and Creutz Fermions: Cut-off Effects at Tree-level of Perturbation Theory
• Determination of ${\Lambda }_{\overline{\text{MS}}}^{(n_f=2)}$ and analytic parameterization of the static quark-antiquark potential
• Continuum limit of the $D$ meson, $D_s$ meson and charmonium spectrum from $N_f=2+1+1$ twisted mass lattice QCD
• The continuum limit of the static-light meson spectrum
• Lattice QCD with two light Wilson quarks and maximally twisted mass
• ${\Lambda }_{\overline{\text{MS}}}^{(n_f=2)}$ from a momentum space analysis of the quark-antiquark static potential
• Phase Diagram of Dynamical Twisted Mass Wilson Fermions at Finite Isospin Chemical Potential
• Chiral Ward identities, automatic O(a) improvement and the gradient flow
• Determination of Low-Energy Constants of Wilson Chiral Perturbation Theory
• Chiral logs in twisted mass lattice QCD with large isospin breaking
• Nucleon and Delta masses in twisted mass chiral perturbation theory
• Quark mass and chiral condensate from the Wilson twisted mass lattice quark propagator
• Large $N_c$ scaling of meson masses and decay constants
• Lattice determinations of the strong coupling
• Phase structure of thermal lattice QCD with N_f=2 twisted mass Wilson fermions
• Lattice calculation of the Isgur-Wise functions tau_{1/2} and tau_{3/2} with dynamical quarks
• The Microscopic Twisted Mass Dirac Spectrum
• Two Photon Decays of ${\eta }_c$ from Lattice QCD
• Topological susceptibility from the twisted mass Dirac operator spectrum
• The omega-rho meson mass splitting and mixing from lattice QCD
• Cutoff effects of Wilson fermions on the QCD equation of state to O(g^2)
• A Mixed Action Analysis of $\eta$ and ${\eta }^{\prime }$ Mesons
• Nonperturbative renormalization of asymmetric staple-shaped operators in twisted mass lattice QCD
• The $\eta \to {\gamma }^{\ast }{\gamma }^{\ast }$ transition form factor and the hadronic light-by-light $\eta$-pole contribution to the muon $g-2$ from lattice QCD
• Virtual Photon Emission in Leptonic Decays of Charged Pseudoscalar Mesons
• The static-light baryon spectrum from twisted mass lattice QCD
• Varieties and properties of central-branch Wilson fermions
• BHLS${}_2$ Upgrade : $\tau$ spectra, muon HVP and the [${\pi }^0,\eta ,{\eta }^{\prime }$] System
• The epsilon regime with twisted mass Wilson fermions
• Fermion Actions extracted from Lattice Super Yang-Mills Theories
• Quark mass anomalous dimension and ${\Lambda }_{\overline{\text{MS}}}$ from the twisted mass Dirac operator spectrum
• The hadronic vacuum polarization and automatic O(a) improvement for twisted mass fermions
• A lattice QCD calculation of the transverse decay constant of the b1(1235) meson
• A quenched study of the Schroedinger functional with chirally rotated boundary conditions: non-perturbative tuning
• A quenched study of the Schroedinger functional with chirally rotated boundary conditions: applications
• Investigation of pion-nucleon contributions to nucleon matrix elements
• Semileptonic $B\to D^{\ast \ast }$ decays in Lattice QCD : a feasibility study and first results
• Improved renormalization scheme for nonlocal operators
• Charmless chiral perturbation theory for N_f=2+1+1 twisted mass lattice QCD
• Exploring the epsilon regime with twisted mass fermions
• Chiral Anomaly in Lattice QCD with Twisted Mass Wilson Fermion
• Effect of r averaging on Chiral Anomaly in Lattice QCD with Wilson Fermion: Finite volume and cutoff effects
• Non-perturbative running of renormalization constants from correlators in coordinate space using step scaling
• Short distance singularities and automatic O($a$) improvement: the cases of the chiral condensate and the topological susceptibility
• Thermal transition temperature from twisted mass QCD
• The epsilon regime of chiral perturbation theory with Wilson-type fermions
• Baryon structure from Lattice QCD
• Twisted mass chiral perturbation theory for 2+1+1 quark flavours
• A tmQCD mixed-action approach to flavour physics
• Twisted mass QCD at finite temperature
• On the phase structure of lattice QCD with twisted-mass Wilson fermions at non-zero temperature
• The $\pi \pi$ scattering amplitude at large $N_{\text{c}}$
• Topological observables and $\theta$ dependence in high temperature QCD from lattice simulations
• LatticeQCD using OpenCL
• Cutoff effects for Wilson twisted mass fermions at tree-level of perturbation theory
• Nucleon form factors and moments of parton distributions in twisted mass lattice QCD
• Minimal-doubling and single-Weyl Hamiltonians
• Wilson chiral perturbation theory for dynamical twisted mass fermions vs lattice data - a case study
• Fermion Discretization Effects in the Two-Flavor Lattice Schwinger Model: A Study with Matrix Product States
• Meson spectrum in the large $N$ limit
• Wilson twisted mass fermions in the epsilon regime
• Scaling and ChPT Description of Pions from N_f=2 twisted mass QCD
• ChPT description of the pion mass and decay constant from N_f=2 twisted mass QCD
• Chiral perturbation theory for three-flavour lattice QCD with isospin splitting
• The finite-temperature phase structure of lattice QCD with twisted-mass Wilson fermions