Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-04-03
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.
Gubarev F. V.
Zakharov Valentin I.
No associations
LandOfFree
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.
Profile ID: LFWR-SCP-O-222337