Universe (Apr 2022)

Effects of a Finite Volume in the Phase Structure of QCD

  • Nallaly Berenice Mata Carrizal,
  • Enrique Valbuena Ordóñez,
  • Adrián Jacob Garza Aguirre,
  • Francisco Javier Betancourt Sotomayor,
  • José Rubén Morones Ibarra

DOI
https://doi.org/10.3390/universe8050264
Journal volume & issue
Vol. 8, no. 5
p. 264

Abstract

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Working in the SU(2) flavor version of the NJL model, we study the effect of taking a finite system volume on a strongly interacting system of quarks, and, in particular, the location of the chiral phase transition and the CEP. We consider two shapes for the volume, spherical and cubic regions with different sizes and different boundary conditions. To analyze the QCD phase diagram, we use a novel criterion to study the crossover zone. A comparison between the results obtained from the two different shapes and several boundary conditions is carried out. We use the method of Multiple Reflection Expansion to determine the density of states and three kinds of boundary conditions over the cubic shape. These boundary conditions are: periodic, anti-periodic and stationary boundary conditions on the quark fields.

Keywords