The type of the phase transition and coupling values in \lambda \phi^4 model
High Energy Physics - Lattice
2015-01-21 v1 High Energy Physics - Phenomenology
Abstract
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.
Cite
@article{arxiv.1204.0651,
title = {The type of the phase transition and coupling values in \lambda \phi^4 model},
author = {M. Bordag and V. Demchik and A. Gulov and V. Skalozub},
journal= {arXiv preprint arXiv:1204.0651},
year = {2015}
}
Comments
11 pages, 3 figures. arXiv admin note: text overlap with arXiv:1012.5383