Effective potential for Lifshitz type z=3 gauge theories

Details Effective potential for Lifshitz type z=3 gauge theories Effective potential for Lifshitz type z=3 gauge theories

2012-04-25

arxiv.org/abs/1204.5622v1

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:1112.6080

Scientific paper

We consider the one-loop effective potential at zero temperature in field theories with anisotropic space-time scaling, with critical exponent $z=3$, including scalar, fermion and gauge fields. The fermion determinant generates a symmetry breaking term at one loop in the effective potential and a local minimum appears, for non zero scalar field, for every value of the Yukawa coupling. Depending on the relative strength of the coupling constants for the scalar and the gauge field, we find a second symmetry breaking local minimum in the effective potential for a bigger value of the scalar field.

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