Casimir effect for nucleon parity doublets

被引:20
作者
Ishikawa, Tsutomu [1 ,2 ]
Nakayama, Katsumasa [2 ,3 ]
Suzuki, Kei [2 ]
机构
[1] Grad Univ Adv Studies SOKENDAI, Tsukuba, Ibaraki 3050801, Japan
[2] High Energy Accelerator Res Org KEK, Inst Particle & Nucl Studies, KEK Theory Ctr, Tsukuba, Ibaraki 3050801, Japan
[3] Nagoya Univ, Dept Phys, Nagoya, Aichi 4648602, Japan
基金
日本学术振兴会;
关键词
DYNAMICAL SYMMETRY-BREAKING; GROSS-NEVEU MODEL; CHIRAL-SYMMETRY; PHASE-STRUCTURE; MAGNETIC-FIELD; LIGHT QUARKS; MASS; CATALYSIS; DENSITY; BARYONS;
D O I
10.1103/PhysRevD.99.054010
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
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.
引用
收藏
页数:14
相关论文
共 125 条
[51]   Vacuum phenomenology of the chiral partner of the nucleon in a linear sigma model with vector mesons [J].
Gallas, Susanna ;
Giacosa, Francesco ;
Rischke, Dirk H. .
PHYSICAL REVIEW D, 2010, 82 (01)
[52]   Nuclear matter within a dilatation-invariant parity doublet model: The role of the tetraquark at nonzero density [J].
Gallas, Susanna ;
Giacosa, Francesco ;
Pagliara, Giuseppe .
NUCLEAR PHYSICS A, 2011, 872 (01) :13-24
[53]   THERMODYNAMICS OF CHIRAL SYMMETRY [J].
GASSER, J ;
LEUTWYLER, H .
PHYSICS LETTERS B, 1987, 188 (04) :477-481
[54]   SPONTANEOUSLY BROKEN SYMMETRIES - EFFECTIVE LAGRANGIANS AT FINITE VOLUME [J].
GASSER, J ;
LEUTWYLER, H .
NUCLEAR PHYSICS B, 1988, 307 (04) :763-778
[55]   LIGHT QUARKS AT LOW-TEMPERATURES [J].
GASSER, J ;
LEUTWYLER, H .
PHYSICS LETTERS B, 1987, 184 (01) :83-88
[56]   Finite-volume effects on octet-baryon masses in covariant baryon chiral perturbation theory [J].
Geng, Li-sheng ;
Ren, Xiu-lei ;
Martin-Camalich, J. ;
Weise, W. .
PHYSICAL REVIEW D, 2011, 84 (07)
[57]   CATALYSIS OF DYNAMICAL FLAVOR SYMMETRY-BREAKING BY A MAGNETIC-FIELD IN 2+1-DIMENSIONS [J].
GUSYNIN, VP ;
MIRANSKY, VA ;
SHOVKOVY, IA .
PHYSICAL REVIEW LETTERS, 1994, 73 (26) :3499-3502
[58]   Catalysis of dynamical flavor symmetry breaking by a magnetic field in 2+1 dimensions (vol 73, pg 3499, 1994) [J].
Gusynin, VP ;
Miransky, VA ;
Shovkovy, IA .
PHYSICAL REVIEW LETTERS, 1996, 76 (06) :1005-1005
[59]   Dimensional reduction and catalysis of dynamical symmetry breaking by a magnetic field [J].
Gusynin, VP ;
Miransky, VA ;
Shovkovy, IA .
NUCLEAR PHYSICS B, 1996, 462 (2-3) :249-290
[60]   Magnetic catalysis in nuclear matter [J].
Haber, Alexander ;
Preis, Florian ;
Schmitt, Andreas .
PHYSICAL REVIEW D, 2014, 90 (12)