Thermodynamics of Lattice QCD with Chiral 4-Fermion Interactions

Abstract

We have studied lattice QCD with an additional, irrelevant 4-fermion interaction having a U(1)xU(1) chiral symmetry, at finite temperatures. Adding this 4-fermion term allowed us to work at zero quark mass, which would have otherwise been impossible. The theory with 2 massless staggered quark flavours appears to have a first order finite temperature phase transition at N_t=4 for the value of 4-fermion coupling we have chosen, in contrast to what is expected for 2-flavour QCD. The pion screening mass is seen to vanish below this transition, only to become massive and degenerate with the sigma (f_0) above this transition where the chiral symmetry is restored, as is seen by the vanishing of the chiral condensate.

23 pages, 11 figures

References in corpus (3)

• The equation of state for two flavor QCD at N_t=6
• Thermodynamics of lattice QCD with two light quark flavours on a 16^3 x 8 lattice II
• Finite-Temperature QCD on the Lattice

Cited by in corpus (19)

• Meson screening masses from lattice QCD with two light and the strange quark
• Critical Behavior in Nt = 4 Staggered Fermion Thermodynamics
• Evidence for O(2) universality at the finite temperature transition for lattice QCD with 2 flavours of massless staggered quarks
• A PNJL Model for Adjoint Fermions with Periodic Boundary Conditions
• Scaling behaviour at the $N_t=6$ chiral phase transition for 2-flavour lattice QCD with massless staggered quarks, and an irrelevant 4-fermion interaction
• The Phase Diagram of Compact QED Coupled to a Four-Fermi Interaction
• Nonlinear Realization of Chiral Symmetry on the Lattice
• Reply to Isgur's Comments on Valence QCD
• Non-abelian gauged NJL models on the lattice
• Nambu-Jona-Lasinio model with Wilson fermions
• Separating the scales of confinement and chiral-symmetry breaking in lattice QCD with fundamental quarks
• Hamiltonian models of lattice fermions solvable by the meron-cluster algorithm
• The RHMC algorithm for theories with unknown spectral bounds
• Lattice QCD at finite isospin density and/or temperature
• Thermodynamics of Lattice QCD with massless quarks and chiral 4-fermion interactions
• Perturbative Thermodynamics of Lattice QCD with Chiral-Invariant Four-Fermion Interactions
• The staggered domain wall fermion method
• Interacting staggered domain wall fermions
• Confinement and Chiral Symmetry, a Lattice QCD test of AdS/QCD