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Tricritical phenomena in holographic chiral phase transitions

High Energy Physics - Theory 2022-11-22 v2 Statistical Mechanics Strongly Correlated Electrons Nuclear Theory

Abstract

We study critical phenomena at a tricritical point associated with a chiral phase transition which emerges in the D3/D7 model in the presence of a finite baryon number density and an external magnetic field. We numerically determine critical exponents related to the thermodynamic quantities and correlation functions. We find that the values of the critical exponents agree with the mean-field values. The scaling relations between the critical exponents are satisfied, implying that the scaling hypothesis for the free energy and the correlation functions hold. Our results indicate that the critical phenomena at the tricritical point in the D3/D7 model are well described by the conventional Landau theory.

Keywords

Cite

@article{arxiv.2208.02605,
  title  = {Tricritical phenomena in holographic chiral phase transitions},
  author = {Masataka Matsumoto},
  journal= {arXiv preprint arXiv:2208.02605},
  year   = {2022}
}

Comments

v1: 34 pages, 16 figures; v2: version published in JHEP