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Title: RG analysis of magnetic catalysis in dynamical symmetry breaking

Technical Report ·
DOI:https://doi.org/10.2172/228211· OSTI ID:228211
 [1];  [2]
  1. Pusan National Univ., (Korea). Dept. of Physics
  2. Hanyang Univ., Seoul (Korea). Dept. of Physics

We perform the renormalization group analysis on the dynamical symmetry breaking under strong external magnetic field, studied recently by Gusynin, Miransky and Shovkovy. We find that any attractive four-Fermi interaction becomes strong in the low energy, thus leading to dynamical symmetry breaking. When the four-Fermi interaction is absent, the {beta}-function for the electromagnetic coupling vanishes in the leading order in 1/N. By solving the Schwinger-Dyson equation for the fermion propagator, we show that in 1/N expansion, for any electromagnetic coupling, dynamical symmetry breaking occurs due to the presence of Landau energy gap by the external magnetic field. 5 refs.

Research Organization:
Florida Univ., Gainesville, FL (United States)
Sponsoring Organization:
USDOE, Washington, DC (United States); Korea Science and Engineering Foundation (Korea, Republic of); Korea Ministry of Education (Korea)
DOE Contract Number:
FG05-86ER40272
OSTI ID:
228211
Report Number(s):
DOE/ER/40272-248; UFIFT-HEP-96-3; SNUTP-96-9; ON: DE96010588; CNN: Grant BSRI-95-2413; Grant BSRI-95-2441; KOSEF Grant 95-1400-04-01-3; TRN: 96:012347
Resource Relation:
Other Information: PBD: [1996]
Country of Publication:
United States
Language:
English

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