1994/09/06 by A. R. Levi, A.R. Levi, Levi, A. R.
Physics and Astronomy · #Atomic and Molecular Physics #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #hep-lat
paper · pdf · doi:10.48550/arxiv.hep-lat/9409002
21 pages, BU-HEP-94-23
arxiv created 1994/09/06 · openalex publication_date 1994/09/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The one loop effective potential for a non-Abelian gauge configuration is analyzed using the background field method. The Savvidy result and the non-Abelian ansatz, the other alternative possible background that generates a constant color magnetic field configuration, are compared. This second possibility is very interesting because it avoids the possible coordinate singularity, \rm DetBia=0, and it is easy to implement in lattice simulations. We emphasize the interesting dependence of the potential by the gauge fixing parameter α, when the loop expansion is performed around a non trivial background configuration. Finally, we point out some crucial differences in analyzing the vacuum structure between non-Abelian gauge theories and the cases of scalar and Abelian gauge theories.