Noncommutative Gauge Theories on Fuzzy Sphere and Fuzzy Torus from Matrix Model

Details Noncommutative Gauge Theories on Fuzzy Sphere and Fuzzy Torus from Matrix Model Noncommutative Gauge Theories on Fuzzy Sphere and Fuzzy Torus from Matrix Model

2001-03-22

arxiv.org/abs/hep-th/0103192v2

Prog.Theor.Phys. 106 (2001) 445-469

Physics

High Energy Physics

High Energy Physics - Theory

30 Pages, references added and some comments corrected

Scientific paper

10.1143/PTP.106.445

We consider a reduced model of four-dimensional Yang-Mills theory with a mass term. This matrix model has two classical solutions, two-dimensional fuzzy sphere and two-dimensional fuzzy torus. These classical solutions are constructed by embedding them into three or four dimensional flat space. They exist for finite size matrices, that is, the number of the quantum on these manifolds is finite. Noncommutative gauge theories on these noncommutative manifolds are derived by expanding the model around these classical solutions and studied by taking two large $N$ limits, a commutative limit and a large radius limit. The behaviors of gauge invariant operators are also discussed.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-277887