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

M.Bordag, V.Demchik, A.Gulov, V.Skalozub
Institute for Theoretical Physics, University of Leipzig, Leipzig, Germany
arXiv:1012.5383 [hep-lat] (24 Dec 2010)

@article{2010arXiv1012.5383B,

   author={Bordag}, M. and {Demchik}, V. and {Gulov}, A. and {Skalozub}, V.},

   title={“{On the type of the temperature phase transition in phi-4 model}”},

   journal={ArXiv e-prints},

   archivePrefix={“arXiv”},

   eprint={1012.5383},

   primaryClass={“hep-lat”},

   keywords={High Energy Physics – Lattice, High Energy Physics – Phenomenology},

   year={2010},

   month={dec},

   adsurl={http://adsabs.harvard.edu/abs/2010arXiv1012.5383B},

   adsnote={Provided by the SAO/NASA Astrophysics Data System}

}

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The temperature induced phase transition is investigated in the one-component scalar field phi^4 model on a lattice by using Monte Carlo simulations. Due to GPGPU technology used a huge amount of data is generated and treated 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.
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