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arXiv · 1012.5383

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

M. Bordag·V. Demchik·A. Gulov·V. Skalozub
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Abstract

The temperature induced phase transition is investigated in the one-component scalar field ϕ^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 λ_0 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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M. Bordag, V. Demchik, A. Gulov, V. Skalozub. 2011-05-18. On the type of the temperature phase transition in phi-4 model. https://arxiv.org/abs/1012.5383

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