Wilson Renormalization Group Analysis of Theories with Scalars and Fermions

Details Wilson Renormalization Group Analysis of Theories with Scalars and Fermions Wilson Renormalization Group Analysis of Theories with Scalars and Fermions

1992-11-17

arxiv.org/abs/hep-ph/9211261v1

Nucl.Phys. B402 (1993) 628-656

Physics

High Energy Physics

High Energy Physics - Phenomenology

40, PURD-TH-92-9

Scientific paper

10.1016/0550-3213(93)90122-6

The continuous block spin (Wilson) renormalization group equation governing the scale dependence of the action is constructed for theories containing scalars and fermions. A locally approximated form of this equation detailing the structure of a generalized effective potential is numerically analyzed. The role of the irrelevant operators in the nonperturbative renormalization group running is elucidated and a comparison with the 1-loop perturbative results is drawn. Focusing on the spontaneously broken phase of a model possessing a discrete symmetry forbidding an explicit fermion mass term, mass bounds on both the scalar and fermion degrees of freedom are established. The effect of the generalized Yukawa coupling on the scalar mass upper bound is emphasized.

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