Covariant algebraic calculation of the one-loop effective potential in non-Abelian gauge theory and a new approach to stability problem

Details Covariant algebraic calculation of the one-loop effective potential in non-Abelian gauge theory and a new approach to stability problem Covariant algebraic calculation of the one-loop effective potential in non-Abelian gauge theory and a new approach to stability problem

1994-03-18

arxiv.org/abs/gr-qc/9403035v1

J.Math.Phys. 36 (1995) 1557-1571

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, LATeX, University of Greifswald (1994)

Scientific paper

10.1063/1.531139

We use our recently proposed algebraic approach for calculating the heat kernel associated with the Laplace operator to calculate the one-loop effective action in the non-Abelian gauge theory. We consider the most general case of arbitrary space-time dimension, arbitrary compact simple gauge group and arbitrary matter and assume a covariantly constant gauge field strength of the most general form, having many independent color and space-time invariants (Savvidy type chromomagnetic vacuum) and covariantly constant scalar fields as a background. The explicit formulas for all the needed heat kernels and zeta-functions are obtained. We propose a new method to study the vacuum stability and show that the background field configurations with covariantly constant chromomagnetic fields can be stable only in the case when more than one independent field invariants are present and the values of these invariants differ not greatly from each other. The role of space-time dimension is analyzed in this connection and it is shown that this is possible only in space-times with dimensions not less than five $d\geq 5$.

Affiliated with

Also associated with

No associations

Rating

Covariant algebraic calculation of the one-loop effective potential in non-Abelian gauge theory and a new approach to stability problem does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Covariant algebraic calculation of the one-loop effective potential in non-Abelian gauge theory and a new approach to stability problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Covariant algebraic calculation of the one-loop effective potential in non-Abelian gauge theory and a new approach to stability problem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-524805