Instantons from over-improved cooling

Perez, Margarita Garcia; Gonzalez-Arroyo, Antonio; Snippe, Jeroen; van Baal, Pierre

Instantons from over-improved cooling

Authors

Perez, Margarita Garcia

Gonzalez-Arroyo, Antonio

Snippe, Jeroen

van Baal, Pierre

Description

Lattice artefacts are used, through modified lattice actions, as a tool to find the largest instantons in a toroidal geometry [0,L]^3X[0,T] for T to infinity. It is conjectured that the largest instanton is associated with tunnelling through a sphaleron. Existence of instantons with at least 8 parameters can be proven with the help of twisted boundary conditions in the time direction. Numerical results for SU(2) gauge theory obtained by cooling are presented to demonstrate the viability of the method.
15p, 3 figs appended in PostScript (uudecoded), preprint INLO-PUB-11/93, FTUAM-93/31. Correction of eq.(16) and the discussion on pg.7