Quantum effects on winding configurations in SU(2)-Higgs theory
نویسنده
چکیده
We examine the quantum corrections to the static energy for Higgs winding configurations in order to ascertain whether such corrections may stabilize solitons in the standard model. We evaluate the effective action for winding configurations in Weinberg-Salam theory without U(1)gauge fields or fermions. For a configuration whose size, a ≪ m−1 where m = max{mW ,mH}, mW is the W-mass, and mH is the Higgs mass, the static energy goes like gmWa[1 + b0g 2 ln(1/ma)]c0/b0 in the semiclassical limit. Here g is the SU(2)-gauge coupling constant and b0, c0 are positive numbers determined by renormalization-group techniques. We discuss the limitations of this result for extremely small configurations and conclude that quantum fluctuations do not stabilize winding configurations where we have confidence in SU(2)-Higgs as a renormalizable field theory. CTP#2585 Submitted to Physical Review D hep-th/9611059 Typeset in REVTEX
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