Plaquette representation for 3D lattice gauge models: I. Formulation and perturbation theory

Details Plaquette representation for 3D lattice gauge models: I. Formulation and perturbation theory Plaquette representation for 3D lattice gauge models: I. Formulation and perturbation theory

2005-08-02

arxiv.org/abs/hep-lat/0508003v1

Physics

High Energy Physics

High Energy Physics - Lattice

Latex, 31 pages, 5 figs

Scientific paper

10.1016/j.nuclphysb.2009.02.008

We develop an analytical approach for studying lattice gauge theories within the plaquette representation where the plaquette matrices play the role of the fundamental degrees of freedom. We start from the original Batrouni formulation and show how it can be modified in such a way that each non-abelian Bianchi identity contains only two connectors instead of four. In addition, we include dynamical fermions in the plaquette formulation. Using this representation we construct the low-temperature perturbative expansion for U(1) and SU(N) models and discuss its uniformity in the volume. The final aim of this study is to give a mathematical background for working with non-abelian models in the plaquette formulation.

Affiliated with

Also associated with

No associations

Rating

Plaquette representation for 3D lattice gauge models: I. Formulation and perturbation 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 Plaquette representation for 3D lattice gauge models: I. Formulation and perturbation theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Plaquette representation for 3D lattice gauge models: I. Formulation and perturbation theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-615522