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Glueballs on the three-sphere

1996/08/19 by Bas van den Heuvel
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-th

paper · pdf · doi:10.1016/s0550-3213(97)00016-3

published as Nucl.Phys. B488 (1997) 282-334 · 48 p LaTeX, 13 Postscript figures appended

arxiv created 1996/08/19 · openalex publication_date 1997/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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 θ 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.

Citations