TY - JOUR

T1 - Reduced chiral U(N)×U(N) model

AU - Bars, I.

AU - Günaydin, M.

AU - Yankielowicz, S.

N1 - Funding Information:
* Supported in part by the US Department of Energy under contract DE-AC-02-76 ER0 3075. * Address after 1 September 1982: Ecole Normale Supbrieure, 24, rue Lhomond, 75231 Paris Cedex 05, France. * On leave from Tel-Aviv University, Israel. Supported in part by the Bi-National Science Foundation (BFS) U.S.-Israel.

PY - 1983/6/13

Y1 - 1983/6/13

N2 - We investigate analytically the reduced chiral model for any N and any dimension d. The relevant group integral for computing the free energy and correlation functions is performed in the semiclassical approximation which becomes exact for d = 1 any N, and some special values of N for any d. The quenching procedure is described and the appropriate expressions, which should be investigated in the large-N limit are written down. For the one-dimensional case the free energy is computed and it agrees with the exact result. The relevance of this reduced model for the underlying continuum chiral theory is discussed and the structure of the vacuum is analyzed.

AB - We investigate analytically the reduced chiral model for any N and any dimension d. The relevant group integral for computing the free energy and correlation functions is performed in the semiclassical approximation which becomes exact for d = 1 any N, and some special values of N for any d. The quenching procedure is described and the appropriate expressions, which should be investigated in the large-N limit are written down. For the one-dimensional case the free energy is computed and it agrees with the exact result. The relevance of this reduced model for the underlying continuum chiral theory is discussed and the structure of the vacuum is analyzed.

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U2 - 10.1016/0550-3213(83)90429-7

DO - 10.1016/0550-3213(83)90429-7

M3 - Article

AN - SCOPUS:33744676338

SN - 0550-3213

VL - 219

SP - 81

EP - 115

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 1

ER -