Chiral asymmetry and axial anomaly in magnetized relativistic matter

E. V. Gorbar, V. A. Miransky, Igor Shovkovy

Research output: Contribution to journalArticle

32 Citations (Scopus)

Abstract

The induced axial current and the chiral anomaly are studied in the normal phase of magnetized relativistic matter. A special attention is paid to the role of the chiral shift parameter Δ, leading to a relative shift of the longitudinal momenta in the dispersion relations of opposite chirality fermions. In the Nambu-Jona-Lasinio model, it is shown directly from the form of the gap equation that Δ necessarily exists in the normal phase in a magnetic field. By making use of the gauge invariant point-splitting regularization, we then show that the presence of Δ essentially modifies the form of the axial current, but does not affect the conventional axial anomaly relation. By recalculating the axial current with the proper-time regularization, we conclude that the result is robust with respect to a specific regularization scheme used.

Original languageEnglish (US)
Pages (from-to)354-358
Number of pages5
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume695
Issue number1-4
DOIs
StatePublished - Jan 10 2011

Fingerprint

asymmetry
anomalies
shift
chirality
fermions
momentum
magnetic fields

Keywords

  • Axial anomaly
  • Axial current
  • Chiral asymmetry
  • Dense relativistic matter
  • Magnetic field

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Chiral asymmetry and axial anomaly in magnetized relativistic matter. / Gorbar, E. V.; Miransky, V. A.; Shovkovy, Igor.

In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 695, No. 1-4, 10.01.2011, p. 354-358.

Research output: Contribution to journalArticle

@article{55add7909be142cba6cdb70175d296f0,
title = "Chiral asymmetry and axial anomaly in magnetized relativistic matter",
abstract = "The induced axial current and the chiral anomaly are studied in the normal phase of magnetized relativistic matter. A special attention is paid to the role of the chiral shift parameter Δ, leading to a relative shift of the longitudinal momenta in the dispersion relations of opposite chirality fermions. In the Nambu-Jona-Lasinio model, it is shown directly from the form of the gap equation that Δ necessarily exists in the normal phase in a magnetic field. By making use of the gauge invariant point-splitting regularization, we then show that the presence of Δ essentially modifies the form of the axial current, but does not affect the conventional axial anomaly relation. By recalculating the axial current with the proper-time regularization, we conclude that the result is robust with respect to a specific regularization scheme used.",
keywords = "Axial anomaly, Axial current, Chiral asymmetry, Dense relativistic matter, Magnetic field",
author = "Gorbar, {E. V.} and Miransky, {V. A.} and Igor Shovkovy",
year = "2011",
month = "1",
day = "10",
doi = "10.1016/j.physletb.2010.11.022",
language = "English (US)",
volume = "695",
pages = "354--358",
journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",
issn = "0370-2693",
publisher = "Elsevier",
number = "1-4",

}

TY - JOUR

T1 - Chiral asymmetry and axial anomaly in magnetized relativistic matter

AU - Gorbar, E. V.

AU - Miransky, V. A.

AU - Shovkovy, Igor

PY - 2011/1/10

Y1 - 2011/1/10

N2 - The induced axial current and the chiral anomaly are studied in the normal phase of magnetized relativistic matter. A special attention is paid to the role of the chiral shift parameter Δ, leading to a relative shift of the longitudinal momenta in the dispersion relations of opposite chirality fermions. In the Nambu-Jona-Lasinio model, it is shown directly from the form of the gap equation that Δ necessarily exists in the normal phase in a magnetic field. By making use of the gauge invariant point-splitting regularization, we then show that the presence of Δ essentially modifies the form of the axial current, but does not affect the conventional axial anomaly relation. By recalculating the axial current with the proper-time regularization, we conclude that the result is robust with respect to a specific regularization scheme used.

AB - The induced axial current and the chiral anomaly are studied in the normal phase of magnetized relativistic matter. A special attention is paid to the role of the chiral shift parameter Δ, leading to a relative shift of the longitudinal momenta in the dispersion relations of opposite chirality fermions. In the Nambu-Jona-Lasinio model, it is shown directly from the form of the gap equation that Δ necessarily exists in the normal phase in a magnetic field. By making use of the gauge invariant point-splitting regularization, we then show that the presence of Δ essentially modifies the form of the axial current, but does not affect the conventional axial anomaly relation. By recalculating the axial current with the proper-time regularization, we conclude that the result is robust with respect to a specific regularization scheme used.

KW - Axial anomaly

KW - Axial current

KW - Chiral asymmetry

KW - Dense relativistic matter

KW - Magnetic field

UR - http://www.scopus.com/inward/record.url?scp=78650310198&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78650310198&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2010.11.022

DO - 10.1016/j.physletb.2010.11.022

M3 - Article

VL - 695

SP - 354

EP - 358

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1-4

ER -