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

Abstract

We have simulated lattice QCD with 2 flavours of massless staggered quarks. An irrelevant chiral 4-fermion interaction was added to the standard quark action to allow us to simulate at zero quark mass. Thermodynamics was studied on lattices of temporal extent 6. Clear evidence for a second order chiral transition was observed and the critical exponents ${\beta }_{mag}$, $\delta$, $\nu$ and ${\gamma }_{mag}$ were measured. These exponents did not agree with those expected by standard universality arguments. They were, however, consistent with tricritical behaviour. The $\pi$ and $\sigma$ screening masses were measured and showed clear evidence for chiral symmetry restoration at this transition.

32 pages, 11 figures. Revtex with postscript figures. Analysis of table II redone assuming 1/V finite volume effects

References in corpus (4)

• Critical Behavior in Nt = 4 Staggered Fermion Thermodynamics
• On tadpole improvement for staggered fermions
• Tricritical scaling at the N_t=6 chiral phase transition for 2 flavour lattice QCD with staggered quarks
• Perturbative Thermodynamics of Lattice QCD with Chiral-Invariant Four-Fermion Interactions

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• Five-loop epsilon expansion for U(n)xU(m) models: finite-temperature phase transition in light QCD
• Functional renormalization group at finite density and Bose condensation
• Landau-Ginzburg-Wilson approach to critical phenomena in the presence of gauge symmetries
• The Phase Diagram of Compact QED Coupled to a Four-Fermi Interaction
• Nonlinear Realization of Chiral Symmetry on the Lattice
• Lattice QCD at finite isospin density and/or temperature
• Finite-temperature chiral transition in QCD with quarks in the fundamental and adjoint representation