Emergence of Tricritical Point and Liquid-Gas Phase in the Massless 2 1 Dimensional Gross-Neveu Model - High Energy Physics - TheoryReport as inadecuate




Emergence of Tricritical Point and Liquid-Gas Phase in the Massless 2 1 Dimensional Gross-Neveu Model - High Energy Physics - Theory - Download this document for free, or read online. Document in PDF available to download.

Abstract: A complete thermodynamical analysis of the 2+1 dimensional masslessGross-Neveu model is performed using the optimized perturbation theory. This isa non-perturbative method that allows us to go beyond the known large-N resultsalready at lowest order. Our results, for a finite number of fermion species,N, show the existence of a tricritical point in the temperature and chemicalpotential phase diagram for discrete chiral phase transition allowing us toprecisely to locate it. By studying the phase diagram in the pressure andinverse density plane, we also show the existence of a liquid-gas phase, which,so far, was unknown to exist in this model. Finally, we also derive N dependentanalytical expressions for the fermionic mass, critical temperature andcritical chemical potential.



Author: Jean-Loic Kneur, Marcus Benghi Pinto, Rudnei O. Ramos, Ederson Staudt

Source: https://arxiv.org/







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