Quantized Gauge Theory on the Fuzzy Sphere as Random Matrix Model

Details Quantized Gauge Theory on the Fuzzy Sphere as Random Matrix Model Quantized Gauge Theory on the Fuzzy Sphere as Random Matrix Model

2003-07-08

arxiv.org/abs/hep-th/0307075v3

Nucl.Phys.B679:66-98,2004

Physics

High Energy Physics

High Energy Physics - Theory

36 pages, 1 figure. Minor clarifications, typos corrected. To appear in Nucl.Phys.B

Scientific paper

10.1016/j.nuclphysb.2003.12.005

U(n) Yang-Mills theory on the fuzzy sphere S^2_N is quantized using random matrix methods. The gauge theory is formulated as a matrix model for a single Hermitian matrix subject to a constraint, and a potential with two degenerate minima. This allows to reduce the path integral over the gauge fields to an integral over eigenvalues, which can be evaluated for large N. The partition function of U(n) Yang-Mills theory on the classical sphere is recovered in the large N limit, as a sum over instanton contributions. The monopole solutions are found explicitly.

Affiliated with

Also associated with

No associations

Rating

Quantized Gauge Theory on the Fuzzy Sphere as Random Matrix Model 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 Quantized Gauge Theory on the Fuzzy Sphere as Random Matrix Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantized Gauge Theory on the Fuzzy Sphere as Random Matrix Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-10677