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Two dimensional fermions in four dimensional YM

R. Narayanan et al JHEP11(2009)018   doi: 10.1088/1126-6708/2009/11/018  Help

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R. Narayanana and H. Neubergerb
a Department of Physics, Florida International University, 11200 SW 8th Street, FL 33199 Miami, U.S.A.
b Rutgers University, Department of Physics and Astronomy, 138 Frelinghuysen Rd, Piscataway, NJ 08854, U.S.A.
E-mail: rajamani.narayanan@fiu.edu and neuberg@physics.rutgers.edu

Abstract. Dirac fermions in the fundamental representation of SU(N) live on a two dimensional torus flatly embedded in R4. They interact with a four dimensional SU(N) Yang Mills vector potential preserving a global chiral symmetry at finite N. As the size of the torus in units of 1/ΛSU(N) is varied from small to large, the chiral symmetry gets spontaneously broken in the infinite N limit.

Key words: 1/N Expansion; Lattice Gauge Field Theories

E-print number: 0909.4066
Cited: by
Refers: to

Received 23 September 2009, accepted for publication 18 October 2009
Published 5 November 2009

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