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

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

Research output: Contribution to journalArticle

259 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 languageEnglish (US)
Pages (from-to)477-483
Number of pages7
JournalPhysics Letters B
Volume349
Issue number4
DOIs
StatePublished - Apr 27 1995
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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