English

Catalysis of Dynamical Symmetry Breaking by a Magnetic Field

High Energy Physics - Theory 2009-10-28 v1 High Energy Physics - Phenomenology

Abstract

A constant magnetic field in 3+1 and 2+1 dimensions is a strong 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/rightarrowD2D/rightarrow D-2 in the dynamics of fermion pairing in a magnetic field. The effect is illustrated in the Nambu-Jona-Lasinio model and QED. Possible applications of this effect and its extension to inhomogeneous field configurations are discussed.

Keywords

Cite

@article{arxiv.hep-th/9511224,
  title  = {Catalysis of Dynamical Symmetry Breaking by a Magnetic Field},
  author = {V. A. Miransky},
  journal= {arXiv preprint arXiv:hep-th/9511224},
  year   = {2009}
}

Comments

Based on a talk given at Yukawa International Seminar'95 "From the Standard Model to Grand Unified Theories",15 pages,Latex