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Phys. Rev. D 68, 096004 (2003) [11 pages]

Beyond-constant-mass-approximation magnetic catalysis in the gauge Higgs-Yukawa model

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E. Elizalde*
Institute for Space Studies of Catalonia, IEEC/CSIC, Edifici Nexus, Gran Capità 2-4, 08034 Barcelona, Spain
Department of Structure and Constituents of Matter, University of Barcelona, Diagonal 647, 08028 Barcelona, Spain

E. J. Ferrer and V. de la Incera
Physics Department, State University of New York at Fredonia, Houghton Hall, Fredonia, New York 14063, USA

Received 5 May 2003; revised 5 August 2003; published 13 November 2003

Beyond-constant-mass-approximation solutions for magnetically catalyzed fermion and scalar masses are found in a gauge Higgs-Yukawa theory in the presence of a constant magnetic field. The fermion masses obtained are several orders of magnitude larger than those found in the absence of Yukawa interactions. The masses obtained within the beyond-constant-mass approximation exactly reduce to the results within the constant-mass approach when the condition νln(1/m2)≪1 is satisfied. Possible applications to early universe physics and condensed matter are discussed.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.68.096004
DOI:
10.1103/PhysRevD.68.096004
PACS:
11.30.Qc, 11.30.Rd, 12.15.-y, 12.20.Ds

*On leave at Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139-4307. Electronic address: elizalde@math.mit.edu; elizaldeieec.fcr.es