Numerical Results for U(1) Gauge Theory on 2d and 4d Non-Commutative Spaces

Details Numerical Results for U(1) Gauge Theory on 2d and 4d Non-Commutative Spaces Numerical Results for U(1) Gauge Theory on 2d and 4d Non-Commutative Spaces

2005-01-19

arxiv.org/abs/hep-th/0501147v2

Fortsch.Phys. 53 (2005) 418-425

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, 7 figures, talk presented at "Ahrenshoop 2004"

Scientific paper

We present non-perturbative results for U(1) gauge theory in spaces, which include a non-commutative plane. In contrast to the commutative space, such gauge theories involve a Yang-Mills term, and the Wilson loop is complex on the non-perturbative level. We first consider the 2d case: small Wilson loops follows an area law, whereas for large Wilson loops the complex phase rises linearly with the area. In four dimensions the behavior is qualitatively similar for loops in the non-commutative plane, whereas the loops in other planes follow closely the commutative pattern. In d=2 our results can be extrapolated safely to the continuum limit, and in d=4 we report on recent progress towards this goal.

Affiliated with

Also associated with

No associations

Rating

Numerical Results for U(1) Gauge Theory on 2d and 4d Non-Commutative Spaces 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 Numerical Results for U(1) Gauge Theory on 2d and 4d Non-Commutative Spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Numerical Results for U(1) Gauge Theory on 2d and 4d Non-Commutative Spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-511554