Variational calculations with improved energy functionals in gauge theories

Details Variational calculations with improved energy functionals in gauge theories Variational calculations with improved energy functionals in gauge theories

1999-11-29

arxiv.org/abs/hep-ph/9911515v1

Phys.Rev. D61 (2000) 116008

Physics

High Energy Physics

High Energy Physics - Phenomenology

40 pages, no figures

Scientific paper

10.1103/PhysRevD.61.116008

For a SU(N) Yang-Mills theory, we present variational calculations using gaussian wave functionals combined with an approximate projection on gauge invariant states. The projection amounts to correcting the energy of the gaussian states by substracting the spurious energy associated with gauge rotations. Based on this improved energy functional, we perform variational calculations of the interaction energy in the presence of external electric and magnetic fields. We verify that the ultraviolet behaviour of our approximation scheme is consistent, as it should, with that expected from perturbation theory. In particular, we recover in this variational framework the standard one-loop beta function, with a transparent interpretation of the screening and anti-screening contributions.

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