Twisted Eguchi-Kawai Reduced Chiral Models

Details Twisted Eguchi-Kawai Reduced Chiral Models Twisted Eguchi-Kawai Reduced Chiral Models

2002-03-18

arxiv.org/abs/hep-th/0203155v1

JHEP 0205:014,2002

Physics

High Energy Physics

High Energy Physics - Theory

16 pages

Scientific paper

10.1088/1126-6708/2002/05/014

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.

Affiliated with

Also associated with

No associations

Rating

Twisted Eguchi-Kawai Reduced Chiral Models does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Twisted Eguchi-Kawai Reduced Chiral Models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Twisted Eguchi-Kawai Reduced Chiral Models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-575947