Profumo, Stefano and Vicari, Ettore (2002) Twisted Eguchi-Kawai Reduced Chiral Models. Journal of High Energy Physics, 0205 . 014. ISSN 1029-8479
Full text not available from this repository.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 $\beta<\beta_c$ where $\beta_c$ is the location of the large-N phase transition. On the other hand, in the weak-coupling regime $\beta>\beta_c$, 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.
Item Type: | Article |
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Additional Information: | Imported from arXiv |
Subjects: | Area02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici |
Divisions: | Dipartimenti (until 2012) > DIPARTIMENTO DI FISICA " E. FERMI" |
Depositing User: | dott.ssa Sandra Faita |
Date Deposited: | 08 Apr 2015 11:21 |
Last Modified: | 08 Apr 2015 11:21 |
URI: | http://eprints.adm.unipi.it/id/eprint/1757 |
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