Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2002-03-13
Nucl.Phys. B640 (2002) 435-452
Physics
High Energy Physics
High Energy Physics - Lattice
Latex, 26 pages. v2: Substantially revised to take account of the fact that ${\cal G}_0$ gauge fixings without the Gribov prob
Scientific paper
10.1016/S0550-3213(02)00567-9
The families index theory for the overlap lattice Dirac operator is applied to derive topological features of the space of SU(N) lattice gauge fields on the 4-torus: The topological sectors, specified by the fermionic topological charge, are shown to contain noncontractible even-dimensional spheres when $N\ge3$, and noncontractible circles in the N=2 case. We describe how certain obstructions to the existence of gauge fixings without the Gribov problem in the continuum setting correspond on the lattice to obstructions to the contractibility of these spheres and circles. We also point out a canonical connection on the space of lattice gauge fields with monopole-like singularities associated with the spheres.
No associations
LandOfFree
Gauge fixing, families index theory, and topological features of the space of lattice gauge fields 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 Gauge fixing, families index theory, and topological features of the space of lattice gauge fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gauge fixing, families index theory, and topological features of the space of lattice gauge fields will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-9344