Connecting Lattice QCD with Chiral Perturbation Theory at Strong Coupling

Abstract

We study the difficulties associated with detecting chiral singularities predicted by chiral perturbation theory (ChPT) in lattice QCD. We focus on the physics of the remnant O(2) chiral symmetry of staggered fermions in the strong coupling limit using the recently discovered directed path algorithm. Since it is easier to look for power-like singularities as compared to logarithmic ones, our calculations are performed at a fixed finite temperature in the chirally broken phase. We show that the behavior of the chiral condensate, the pion mass and the pion decay constant, for small masses, are all consistent with the predictions of ChPT. However, the values of the quark masses that we need to demonstrate this are much smaller than those being used in dynamical QCD simulations. We also need to use higher order terms in the chiral expansion to fit our data.

5 pages, 5 figures

References in corpus (8)

• Chiral perturbation theory with Wilson-type fermions including $a^2$ effects: $N_f=2$ degenerate case
• Chiral Limit of Strongly Coupled Lattice Gauge Theories
• Axial Correlation Functions in the epsilon-Regime: a Numerical Study with Overlap Fermions
• Panel discussion on chiral extrapolation of physical observables
• Staggered Chiral Perturbation Theory
• Chiral Limit of Strongly Coupled Lattice QCD at Finite Temperatures
• Quark mass dependence of masses and decay constants of the pseudo-Goldstone bosons in QCD
• Pion and kaon physics with improved staggered quarks

Cited by in corpus (8)

• Lattice QCD at finite temperature and density
• Scaling and Goldstone effects in a QCD with two flavours of adjoint quarks
• Simulation strategies for the massless lattice Schwinger model in the dual formulation
• Fermion loop simulation of the lattice Gross-Neveu model
• The QCD phase diagram at zero and small baryon density
• Strong Coupling Lattice QCD in the Continuous Time Limit
• Baryon bags in strong coupling QCD
• Detecting chiral singularities in lattice QCD at strong coupling