A non-perturbative study of non-commutative U(1) gauge theory

Details A non-perturbative study of non-commutative U(1) gauge theory A non-perturbative study of non-commutative U(1) gauge theory

2007-06-22

arxiv.org/abs/0706.3244v1

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, 4 figures, Talk presented by J. Nishimura at the 21st Nishinomiya-Yukawa Memorial Symposium on Theoretical Physics:

Scientific paper

10.1143/PTPS.171.178

We study U(1) gauge theory on a 4d non-commutative torus, where two directions are non-commutative. Monte Carlo simulations are performed after mapping the regularized theory onto a U(N) lattice gauge theory in d=2. At intermediate coupling strength, we find a phase in which open Wilson lines acquire non-zero vacuum expectation values, which implies the spontaneous breakdown of translational invariance. In this phase, various physical quantities obey clear scaling behaviors in the continuum limit with a fixed non-commutativity parameter theta, which provides evidence for a possible continuum theory. In the weak coupling symmetric phase, the dispersion relation involves a negative IR-singular term, which is responsible for the observed phase transition.

Affiliated with

Also associated with

No associations

Rating

A non-perturbative study of non-commutative U(1) gauge theory 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 A non-perturbative study of non-commutative U(1) gauge theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A non-perturbative study of non-commutative U(1) gauge theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-187049