Prog. Theor. Phys. Vol. 68 No. 4 (1982) pp. 1340-1353
Structure of the Effective Potential under a Constant Magnetic Field for SU(2) Yang-Mills Theory
Fukuoka Institute of Technology, Fukuoka 811-02
(Received April 24, 1982)
The effective potential with one-loop correction is studied as a function of the magnetic field and a condensed scalar field for SU(2) Yang-Mills theory with scalar triplet. For both cases of the massless scalars and the one of negative mass-squared, we obtain the same qualitative behaviors of the potentials. It is found that the minimum of the potential as a function of a magnetic field found by Savvidi changes to a mere saddle point when the condensation of the scalar is taken into account. The problem of the restoration of the broken symmetry is also discussed at a sufficiently large magnetic field.
DOI : 10.1143/PTP.68.1340
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