Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2010-07-30
Annals Phys.326:911-925,2011
Physics
High Energy Physics
High Energy Physics - Lattice
22 pages, 12 figures, final version to appear in Annals of Physics
Scientific paper
10.1016/j.aop.2010.10.011
Motivated by the connection between gauge field topology and the axial anomaly in fermion currents, I use the fourth power of the naive Dirac operator to define a local lattice measure of topological charge. For smooth gauge fields this reduces to the usual topological density. For typical gauge field configurations in a numerical simulation, however, quantum fluctuations dominate, and the sum of this density over the system does not generally give an integer winding. On cooling with respect to the Wilson gauge action, instanton like structures do emerge. As cooling proceeds, these objects tend shrink and finally "fall through the lattice." Modifying the action can block the shrinking at the expense of a loss of reflection positivity. The cooling procedure is highly sensitive to the details of the initial steps, suggesting that quantum fluctuations induce a small but fundamental ambiguity in the definition of topological susceptibility.
No associations
LandOfFree
Anomalies, gauge field topology, and the lattice 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 Anomalies, gauge field topology, and the lattice, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Anomalies, gauge field topology, and the lattice will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-701265