Dimensional reduction and dynamical chiral symmetry breaking by a magnetic field in 3 + 1 dimensions

V. P. Gusynin; V. A. Miransky; I. A. Shovkovy

doi:10.1016/0370-2693(95)00232-A

Dimensional reduction and dynamical chiral symmetry breaking by a magnetic field in 3 + 1 dimensions

V. P. Gusynin, V. A. Miransky, I. A. Shovkovy

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298 Scopus citations

Abstract

It is shown that in 3 + 1 dimensions, a constant magnetic field is a catalyst of dynamical chiral symmetry breaking, leading to the generation of a fermion mass even at the weakest attractive interaction between fermions. The essence of this effect is the dimensional reduction D → D - 2(3 + 1 → 1 + 1) in the dynamics of fermion pairing in a magnetic field. The effect is illustrated in the Nambu-Jona-Lasinio model. Possible applications of this effect are briefly discussed.

Original language	English (US)
Pages (from-to)	477-483
Number of pages	7
Journal	Physics Letters B
Volume	349
Issue number	4
DOIs	https://doi.org/10.1016/0370-2693(95)00232-A
State	Published - Apr 27 1995
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0370-2693(95)00232-A

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abstract = "It is shown that in 3 + 1 dimensions, a constant magnetic field is a catalyst of dynamical chiral symmetry breaking, leading to the generation of a fermion mass even at the weakest attractive interaction between fermions. The essence of this effect is the dimensional reduction D → D - 2(3 + 1 → 1 + 1) in the dynamics of fermion pairing in a magnetic field. The effect is illustrated in the Nambu-Jona-Lasinio model. Possible applications of this effect are briefly discussed.",

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AU - Gusynin, V. P.

AU - Miransky, V. A.

AU - Shovkovy, I. A.

PY - 1995/4/27

Y1 - 1995/4/27

N2 - It is shown that in 3 + 1 dimensions, a constant magnetic field is a catalyst of dynamical chiral symmetry breaking, leading to the generation of a fermion mass even at the weakest attractive interaction between fermions. The essence of this effect is the dimensional reduction D → D - 2(3 + 1 → 1 + 1) in the dynamics of fermion pairing in a magnetic field. The effect is illustrated in the Nambu-Jona-Lasinio model. Possible applications of this effect are briefly discussed.

AB - It is shown that in 3 + 1 dimensions, a constant magnetic field is a catalyst of dynamical chiral symmetry breaking, leading to the generation of a fermion mass even at the weakest attractive interaction between fermions. The essence of this effect is the dimensional reduction D → D - 2(3 + 1 → 1 + 1) in the dynamics of fermion pairing in a magnetic field. The effect is illustrated in the Nambu-Jona-Lasinio model. Possible applications of this effect are briefly discussed.

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Dimensional reduction and dynamical chiral symmetry breaking by a magnetic field in 3 + 1 dimensions

Abstract

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