Critical Behavior of a Chiral Condensate with a Meron Cluster Algorithm

Abstract

A new meron cluster algorithm is constructed to study the finite temperature critical behavior of the chiral condensate in a $(3+1)$ dimensional model of interacting staggered fermions. Using finite size scaling analysis the infinite volume condensate is shown to be consistent with the behavior of the form $(T_c-T{)}^{0.314(7)}$ for temperatures less than the critical temperature and $m^{1/4.87(10)}$ at the critical temperature confirming that the critical behavior belongs to the 3-d Ising universality class within one to two sigma deviation. The new method, along with improvements in the implementation of the algorithm, allows the determination of the critical temperature $T_c$ more accurately than was possible in a previous study.

6 pages, 5 figures

References in corpus (2)

• Improved high-temperature expansion and critical equation of state of three-dimensional Ising-like systems
• Meron-Cluster Simulation of a Chiral Phase Transition with Staggered Fermions

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• Simulation of a modified Hubbard model with a chemical potential using a meron-cluster algorithm
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