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Glueballs on the three-sphere

Bas van den Heuvel
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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.

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Bas van den Heuvel. 1996-08-19. Glueballs on the three-sphere. https://doi.org/10.1016/s0550-3213(97)00016-3

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