The type of the phase transition and coupling values in λφ^4 model

Details The type of the phase transition and coupling values in λφ^4 model The type of the phase transition and coupling values in λφ^4 model

2012-04-03

arxiv.org/abs/1204.0651v1

Physics

High Energy Physics

High Energy Physics - Lattice

11 pages, 3 figures. arXiv admin note: text overlap with arXiv:1012.5383

Scientific paper

The temperature induced phase transition is investigated in the one-component scalar field \phi^4 model on the lattice. Using the GPU cluster a huge amount of Monte Carlo simulation data is collected for a wide interval of coupling values. This gives a possibility to determine the low bound on the coupling constant \lambda_0 when the transition happens and investigate its type. We found that for the values of \lambda close to this bound a weak-first-order phase transition takes place. It converts into a second order one with the increase of \lambda. A comparison with the results obtained in analytic and numeric calculations by other authors is given.

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