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QCD Thermodynamics and Neutral Pion in a Uniform Magnetic Field: Finite Volume Effects

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arxiv 2302.09179 v1 pith:I5YWLFNW submitted 2023-02-17 hep-lat hep-phnucl-th

Prabal Adhikari , Brian C. Tiburzi This is my paper · ORCID
classification hep-lathep-phnucl-th
keywords magneticvolumefieldfiniteneutralchiraleffectslattice
verification ladder T0 review T1 audit T2 compute T3 formal
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We address finite volume effects of lattice QCD calculations in background magnetic fields. Using chiral perturbation theory at next-to-leading order, volume effects are calculated for thermodynamic quantities: the chiral condensate, pressure anisotropy, and magnetization. The neutral pion effective action in a finite volume is additionally derived. For these charge neutral observables, volume and source averaging are shown to capitalize on magnetic periodicity, which is the remnant translational invariance of the finite-volume theory. For a fixed magnetic field strength, certain volume and source averaged quantities are independent of the size of the lattice transverse to the magnetic field. Despite this simplifying feature, finite volume corrections to the magnetic field dependence of the chiral condensate and neutral pion magnetic polarizability can be non-negligible. The pressure anisotropy at fixed magnetic flux, moreover, appears acutely sensitive to the lattice volume.

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Cited by 3 Pith papers

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

  1. QCD Vacuum in an Inhomogeneous Magnetic Field

    hep-ph 2026-08 conditional novelty 6.0 of 10

    In chiral perturbation theory, the QCD vacuum responds nonlocally to an inhomogeneous magnetic field, yielding parameter-free NLO predictions for the free energy, chiral condensate, and an induced vacuum current.

  2. Dynamical quark mass and finite volume effects in the Dyson-Schwinger Equations

    hep-ph 2025-08 conditional novelty 4.0 of 10

    In a Dyson-Schwinger model with spherical finite-volume corrections and magnetic-field-dependent coupling, constituent quark masses fall by about 30-40% as the fireball radius shrinks from infinity to 2 fm.

  3. Dense and Cold Magnetized Quark Matter: A Review of Magnetic-Field-Independent Regularization and the Medium Separation Scheme

    hep-ph 2026-06 unverdicted novelty 3.5 of 10

    Review of MFIR and MSS schemes showing the superconducting gap stays finite at high chemical potential in magnetized cold quark matter with no zero-temperature transition to normal phase.

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