Aspects of mass gap, confinement and N=2 structure in 4-D Yang-Mills theory

Details Aspects of mass gap, confinement and N=2 structure in 4-D Yang-Mills theory Aspects of mass gap, confinement and N=2 structure in 4-D Yang-Mills theory

1996-03-19

arxiv.org/abs/hep-th/9603131v1

Physics

High Energy Physics

High Energy Physics - Theory

46 pages

Scientific paper

We introduce new variables in four dimensional SU(N) Yang-Mills theory. These variables emerge when we sum the path integral over classical solutions and represent the summation as an integral over appropriate degrees of freedom. In this way we get an effective field theory with SU(N)$\times$SU(N) gauge symmetry. In the instanton approximation our effective theory has in addition a N=2 supersymmetry, and when we sum over all possible solutions we find a Parisi-Sourlas supersymmetry. These extra symmetries can then be broken explicitly by a SU(N) invariant and power counting renormalizable mass term. Our results suggest that the confinement mechanism which has been recently identified in the N=2 supersymmetric Yang-Mills theory might also help to understand color confinement in ordinary, pure Yang-Mills theory. In particular, there appears to be an intimate relationship between the N=2 supersymmetry approach to confinement and the Parisi-Sourlas dimensional reduction.

Affiliated with

Also associated with

No associations

Rating

Aspects of mass gap, confinement and N=2 structure in 4-D Yang-Mills 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 Aspects of mass gap, confinement and N=2 structure in 4-D Yang-Mills theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Aspects of mass gap, confinement and N=2 structure in 4-D Yang-Mills theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-182836