English

On the type of the temperature phase transition in phi-4 model

High Energy Physics - Lattice 2015-03-17 v2 High Energy Physics - Phenomenology

Abstract

The temperature induced phase transition is investigated in the one-component scalar field \phi^4 model on a lattice by using Monte Carlo simulations. Using the GPGPU technology a huge amount of data is collected that gives a possibility to determine the Linde-Weinberg low bound on the coupling constant \lambda_0 and investigate the type of the phase transition for a wide interval of coupling values. It is found that for the values of \lambda close to this bound a weak-first-order phase transition happens. It converts into a second order phase transition with the increase of \lambda. A comparison with analytic calculations in continuum field theory and lattice simulations obtained by other authors is given.

Keywords

Cite

@article{arxiv.1012.5383,
  title  = {On the type of the temperature phase transition in phi-4 model},
  author = {M. Bordag and V. Demchik and A. Gulov and V. Skalozub},
  journal= {arXiv preprint arXiv:1012.5383},
  year   = {2015}
}

Comments

11 pages, 7 figures

R2 v1 2026-06-21T17:03:58.977Z