Dominance of a single topological sector in gauge theory on non-commutative geometry

Details Dominance of a single topological sector in gauge theory on non-commutative geometry Dominance of a single topological sector in gauge theory on non-commutative geometry

2009-07-13

arxiv.org/abs/0907.2107v2

JHEP09(2009)084

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, 27 figures, typos corrected

Scientific paper

We demonstrate a striking effect of non-commutative (NC) geometry on topological properties of gauge theory by Monte Carlo simulations. We study 2d U(1) NC gauge theory for various boundary conditions using a new finite-matrix formulation proposed recently. We find that a single topological sector dictated by the boundary condition dominates in the continuum limit. This is in sharp contrast to the results in commutative space-time based on lattice gauge theory, where all topological sectors appear with certain weights in the continuum limit. We discuss possible implications of this effect in the context of string theory compactifications and in field theory contexts.

Affiliated with

Also associated with

No associations

Rating

Dominance of a single topological sector in gauge theory on non-commutative geometry 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 Dominance of a single topological sector in gauge theory on non-commutative geometry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dominance of a single topological sector in gauge theory on non-commutative geometry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-100409