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Bosonic fluctuations in the ( 1 + 1 )-dimensional Gross-Neveu(-Yukawa) model at varying μ and T and finite N

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arxiv 2108.10616 v1 pith:PRK4E6JE submitted 2021-08-24 hep-ph cond-mat.str-elnucl-th

Bosonic fluctuations in the ( 1 + 1 )-dimensional Gross-Neveu(-Yukawa) model at varying μ and T and finite N

classification hep-ph cond-mat.str-elnucl-th
keywords modelfinitebosonicchemicalequationsfermionsflowfluctuations
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Using analogies between flow equations from the Functional Renormalization Group and flow equations from (numerical) fluid dynamics we investigate the effects of bosonic fluctuations in a bosonized Gross-Neveu model -- namely the Gross-Neveu-Yukawa model. We study this model for finite numbers of fermions at varying chemical potential and temperature in the local potential approximation. Thereby we numerically demonstrate that for any finite number of fermions and as long as the temperature is non-zero, there is no $\mathbb{Z}_2$ symmetry breaking for arbitrary chemical potentials.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Quantum critical fan and emergent relativistic symmetry of two-dimensional Dirac semimetals

    cond-mat.str-el 2026-07 conditional novelty 6.0

    A functional-RG calculation maps the chiral Ising Gross-Neveu-Yukawa phase diagram, confirming emergent relativistic symmetry at the quantum critical point and 2D Ising behavior at the finite-temperature transition.

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

    hep-ph 2026-08 conditional novelty 4.0

    In the 2+1-dimensional Gross-Neveu-Yukawa model, magnetic fields cause oscillations and first-order transitions in the chiral phase boundary at high density and shift the tricritical point upward in temperature.