Elsevier

Nuclear Physics B

Volume 190, Issue 3, 19 October 1981, Pages 504-518
Nuclear Physics B

Spontaneous chiral symmetry breaking for a U(N) gauge theory on a lattice

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Abstract

We study the breakdown of chiral invariance by calculating, in the infinite coupling, large-N limit, the generating functional of a U(N) gauge theory with one fermion, expressed on a lattice with the naive, chiral symmetric action. We compute the link integral over the gauge fields and the expression obtained after the integration over the fermions is recast under the form of a generating functional for bosonic fields. Then, a saddle-point method allows the calculation of the order parameter ψψ〉 for which a non-zero value signals the spontaneous breakdown of chiral symmetry. The analysis of the fluctuations around the saddle point allows one to exhibit the Goldstone modes corresponding to those global symmetries of the fermionic lattice action which are simultaneously broken.

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Cited by (0)

1

Chargée de Recherches au CNRS.

2

Permanent address: Department of Theoretical Physics, University of Bielefeld (Germany).

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