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Numerical analysis of fractional charge solutions on the torus

Álvaro Montero1

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We study by numerical methods a particular kind of SU(N) Yang-Mills solutions of the euclidean equations of motion which appear on the torus when twisted boundary conditions are imposed. These are instanton-like configurations with the peculiarity of having fractional topological charge. We focus on those solutions with minimal non-trivial action S = 8π2/N and extract their properties in a few different cases, paying special attention to the N limit.


Keywords

Nonperturbative Effects

Lattice Gauge Field Theories

Solitons Monopoles and Instantons

PACS

11.15.Ha Lattice gauge theory

11.30.Ly Other internal and higher symmetries

11.10.Lm Nonlinear or nonlocal theories and models

11.15.Tk Other nonperturbative techniques

Subjects

Particle physics and field theory

Dates

Issue 05 ( 1 May 2000)

Received 16 April 2000, accepted for publication 11 May 2000

Published 30 May 2000



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