The (2+1)-dimensional Gross-Neveu-Yukawa model at finite temperature, density, and magnetic field within the Functional Renormalization Group

2026/08/03 by Justin L. P. Mauldin, Dirk H. Rischke · 1 citation
Physics and Astronomy · #hep-ph #hep-th #nucl-th

paper · pdf

9 pages, 3 figures

arxiv created 2026/08/03 · arxiv updated 2026/08/04

Abstract

We investigate the phase diagram of the (2+1)-dimensional Gross-Neveu-Yukawa (GNY) model at finite temperature, density, and magnetic field beyond mean-field, using the Functional Renormalization Group (FRG) in the local potential approximation. Large magnetic fields result in magnetic catalysis, a dimensional reduction of the system, and enhancement of chiral symmetry breaking. We employ a hydrodynamical algorithm to solve the FRG flow equation for the effective potential, which allows for go further into the infrared region than with previously used methods. We find that the chiral condensate exhibits non-trivial behavior in various regions of the phase diagram: several first-order phase transitions and de Haas -- van Alphen oscillations at small magnetic field and large chemical potential, as well as a critical endpoint which shifts to higher temperature with increasing magnetic field.

Citations

• Bosonic fluctuations in the ( 1 + 1 )-dimensional Gross-Neveu(-Yukawa) model at varying μ and T and finite N
• Resolving phase transitions with Discontinuous Galerkin methods
• Critical point in the QCD phase diagram for extremely strong background magnetic fields
• Estimate of the magnetic field strength in heavy-ion collisions
• Exact evolution equation for the effective potential

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