Catalysis of Dynamical Symmetry Breaking by a Magnetic Field | Zendy

V. A. Miransky | Zendy

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Catalysis of Dynamical Symmetry Breaking by a Magnetic Field

Author(s) -

V. A. Miransky

Publication year - 1996

Publication title -

progress of theoretical physics supplement

Language(s) - English

Resource type - Journals

ISSN - 0375-9687

DOI - 10.1143/ptps.123.49

Subject(s) - physics , fermion , pairing , chiral symmetry breaking , symmetry breaking , magnetic field , symmetry (geometry) , field (mathematics) , mass generation , explicit symmetry breaking , condensed matter physics , quantum electrodynamics , spontaneous symmetry breaking , theoretical physics , particle physics , quantum mechanics , superconductivity , mathematics , geometry , pure mathematics

A constant magnetic field in 3+1 and 2+1 dimensions is a strong catalyst ofdynamical chiral symmetry breaking, leading to the generation of a fermion masseven at the weakest attractive interaction between fermions. The essence ofthis effect is the dimensional reduction $D/rightarrow D-2$ in the dynamics offermion pairing in a magnetic field. The effect is illustrated in theNambu-Jona-Lasinio model and QED. Possible applications of this effect and itsextension to inhomogeneous field configurations are discussed.Comment: Based on a talk given at Yukawa International Seminar'95 "From the Standard Model to Grand Unified Theories",15 pages,Late

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