Lattice spacing dependence of phase transition temperature in the classical linear sigma model

2001/05/02 by A. K. Chaudhuri, Chaudhuri, A. K.
Materials Science · Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Material Dynamics and Properties #Nuclear Theory (nucl-th) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #hep-ph #nucl-th

paper · pdf · doi:10.48550/arxiv.hep-ph/0105013

3 pages, 1 figure

arxiv created 2001/05/02 · openalex publication_date 2001/05/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We have investigated the phase transition properties of classical linear sigma model. The fields were kept in contact with a heat bath for sufficiently long time such that fields are equilibrated at the temperature of the heat bath. It was shown that the sigma model fields undergoes phase transition, but the transition temperature depend crucially on the lattice spacing. In the continuum limit, the transition temperature tends to zero or at least to a very low value.

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