The Berry Phase and Monopoles in Non-Abelian Gauge Theories

Details The Berry Phase and Monopoles in Non-Abelian Gauge Theories The Berry Phase and Monopoles in Non-Abelian Gauge Theories

2000-04-03

arxiv.org/abs/hep-th/0004012v1

Int.J.Mod.Phys. A17 (2002) 157-174

Physics

High Energy Physics

High Energy Physics - Theory

18 pp., Latex2e, 4 figures, psfig.sty

Scientific paper

10.1142/S0217751X02005840

We consider the quantum mechanical notion of the geometrical (Berry) phase in SU(2) gauge theory, both in the continuum and on the lattice. It is shown that in the coherent state basis eigenvalues of the Wilson loop operator naturally decompose into the geometrical and dynamical phase factors. Moreover, for each Wilson loop there is a unique choice of U(1) gauge rotations which do not change the value of the Berry phase. Determining this U(1) locally in terms of infinitesimal Wilson loops we define monopole-like defects and study their properties in numerical simulations on the lattice. The construction is gauge dependent, as is common for all known definitions of monopoles. We argue that for physical applications the use of the Lorenz gauge is most appropriate. And, indeed, the constructed monopoles have the correct continuum limit in this gauge. Physical consequences are briefly discussed.

Affiliated with

Also associated with

No associations

Rating

The Berry Phase and Monopoles in Non-Abelian Gauge Theories 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 The Berry Phase and Monopoles in Non-Abelian Gauge Theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Berry Phase and Monopoles in Non-Abelian Gauge Theories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-222337