Twisted Eguchi-Kawai Reduced Chiral Models

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Published 14 May 2002 Published under licence by IOP Publishing Ltd
, , Citation Stefano Profumo and Ettore Vicari JHEP05(2002)014 DOI 10.1088/1126-6708/2002/05/014

1126-6708/2002/05/014

Abstract

We study the twisted Eguchi-Kawai (TEK) reduction procedure for large N unitary matrix lattice models. In particular, we consider the case of two-dimensional principal chiral models, and use numerical Monte Carlo (MC) simulations to check the conjectured equivalence of TEK reduced model and standard lattice model in the large-N limit. The MC results are compared with the large-N limit of lattice principal chiral models to verify the supposed equivalence. The consistency of the TEK reduction procedure is verified in the strong-coupling region, i.e. for β < βc where βc is the location of the large-N phase transition. On the other hand, in the weak-coupling regime β > βc, relevant for the continuum limit, our MC results do not support the equivalence of the large-N limits of the lattice chiral model and the corresponding TEK reduction. The implications for the correspondence between TEK model and noncommutative field theory are also discussed.

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10.1088/1126-6708/2002/05/014