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

2010/12/24 by M. Bordag, Bordag, M., V. Demchik +5 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #hep-lat #hep-ph

paper · pdf · doi:10.48550/arxiv.1012.5383

11 pages, 7 figures

arxiv created 2011/05/18 · arxiv updated 2015/03/17

Abstract

The temperature induced phase transition is investigated in the one-component scalar field ϕ⁴ 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 λ₀ and investigate the type of the phase transition for a wide interval of coupling values. It is found that for the values of λclose to this bound a weak-first-order phase transition happens. It converts into a second order phase transition with the increase of λ. A comparison with analytic calculations in continuum field theory and lattice simulations obtained by other authors is given.

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• The type of the phase transition and coupling values in λϕ⁴ model

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