Zeta-function regularization and mean-field analysis of the Walecka model shows that magnetic fields and smaller compactified dimensions favor the symmetric phase through inverse magnetic catalysis.
Casimir effect for nucleon parity doublets
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abstract
Finite-volume effects for the nucleon chiral partners are studied within the framework of the parity-doublet model. Our model includes the vacuum energy shift for nucleons, which is the Casimir effect. We find that for the antiperiodic boundary the finite-volume effect leads to chiral symmetry restoration, and the masses of the nucleon parity doublets degenerate. For the periodic boundary, the chiral symmetry breaking is enhanced, and the masses of the nucleons also increase. We also discuss the finite-temperature effect and the dependence on the number of compactified spatial dimensions.
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2019 1verdicts
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Critical behaviour of an effective relativistic mean field model in the presence of magnetic background and boundaries
Zeta-function regularization and mean-field analysis of the Walecka model shows that magnetic fields and smaller compactified dimensions favor the symmetric phase through inverse magnetic catalysis.