Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1998-12-07
Nucl.Phys.B551:293-313,1999
Physics
High Energy Physics
High Energy Physics - Lattice
25 pages, 8 figures, minor corrections, references added
Scientific paper
10.1016/S0550-3213(99)00211-4
We develop a cooling method controlled by a physical cooling radius that defines a scale below which fluctuations are smoothed out while leaving physics unchanged at all larger scales. We apply this method to study topological properties of lattice gauge theories, in particular the behaviour of instantons, dislocations and instanton--anti-instanton pairs. Monte Carlo results for the SU(2) topology are presented. We find that the method provides a means to prevent instanton--anti-instanton annihilation under cooling. While the instanton sizes are largely independent from the smoothing scale, the density and pair separations are determined by the particular choice made for this quantity. We discuss the questions this raises for the "physicality" of these concepts.
Perez Margarita Garcia
Philipsen Owe
Stamatescu Ion Olimpiu
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