https://doi.org/10.1007/s100529900094
Theoretical physics
The Gaussian approximation for interacting charged scalar fields
University of Tirana, Faculty of Natural Sciences, Tirana, Albania
, AL
Received:
11
January
1999
Published online:
14
October
1999
The Gaussian effective-potential approach is used to explore the physics of charged 
theory in four space-time dimensions. We find and employ an appropriate trial system, parametrized by two effective masses, for obtaining an adequate Gaussian effective potential under conditions of the global U(1) symmetry and the finite temperature. A simple renormalization, accompanied by an explicit dimensional regularization, is employed. We find that the nontrivial approach arises from a bare coupling constant of a negative infinitesimal form, well known in the noncharged case as “precarious”. The behavior of this solution is discussed, and the symmetry breaking due to background charge density is discovered.
© Springer-Verlag Berlin Heidelberg, 1999
