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Casimir effect for nucleon parity doublets

High Energy Physics - Phenomenology 2019-03-27 v2 High Energy Physics - Lattice High Energy Physics - Theory Nuclear Theory

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.

Keywords

Cite

@article{arxiv.1812.10964,
  title  = {Casimir effect for nucleon parity doublets},
  author = {Tsutomu Ishikawa and Katsumasa Nakayama and Kei Suzuki},
  journal= {arXiv preprint arXiv:1812.10964},
  year   = {2019}
}

Comments

14 pages, 11 figures, 3 tables; published version

R2 v1 2026-06-23T06:57:50.777Z