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Variational calculations in gauge theories with approximate projection on gauge invariant states

1998/02/06 by C. Heineman, Christine Heinemann, C. Martin +8
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions #Quantum, superfluid, helium dynamics #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9802036

10 Latex pages

arxiv created 1998/02/06 · openalex publication_date 1998/02/06 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Variational calculations using Gaussian wave functionals combined with an approximate projection on gauge invariant states are presented. We find that the energy exhibits a minimum for a wave functional centered around a non vanishing background magnetic field. We show that divergences can be removed by a renormalization of the coupling constant. The resulting expectation value of the gluon condensate is found to be in qualitative agreement with phenomenological estimates.

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