Glueballs on the three-sphere

Abstract

We study the non-perturbative effects of the global features of the configuration space for SU(2) gauge theory on the three-sphere. The strategy is to reduce the full problem to an effective theory for the dynamics of the low-energy modes. By explicitly integrating out the high-energy modes, the one-loop correction to the effective hamiltonian is obtained. Imposing the $\theta$ dependence through boundary conditions in configuration space incorporates the non-perturbative effects of the non-contractable loops in the full configuration space. After this we obtain the glueball spectrum of the effective theory with a variational method.

48 p LaTeX, 13 Postscript figures appended

References in corpus (5)

• The Schrödinger Functional - a Renormalizable Probe for Non-Abelian Gauge Theories
• Computation of the Running Coupling in the SU(2) Yang-Mills Theory
• Instantons from over-improved cooling
• Zooming-in on the SU(2) fundamental domain
• Glueball Spectroscopy on S^3

Cited by in corpus (3)

• Strings from Tachyons
• The low lying glueball spectrum
• The QCD vacuum