RG analysis of magnetic catalysis in dynamical symmetry breaking

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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.

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11 p.

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Hong, Deog Ki & Kim, Youngman May 1, 1996.

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Description

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.

Physical Description

11 p.

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INIS; OSTI as DE96010588

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  • Other Information: PBD: [1996]

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  • Other: DE96010588
  • Report No.: DOE/ER/40272--248
  • Report No.: UFIFT-HEP--96-3;SNUTP--96-9
  • Grant Number: FG05-86ER40272
  • DOI: 10.2172/228211 | External Link
  • Office of Scientific & Technical Information Report Number: 228211
  • Archival Resource Key: ark:/67531/metadc670467

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  • May 1, 1996

Added to The UNT Digital Library

  • June 29, 2015, 9:42 p.m.

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  • June 24, 2016, 8:26 p.m.

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Hong, Deog Ki & Kim, Youngman. RG analysis of magnetic catalysis in dynamical symmetry breaking, report, May 1, 1996; United States. (digital.library.unt.edu/ark:/67531/metadc670467/: accessed December 11, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.