Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1994-10-25
Phys.Rev. D51 (1995) 4561-4572
Physics
High Energy Physics
High Energy Physics - Phenomenology
Version to be published. Argument showing that the topological charge of solutions is undefined has been strengthened and clar
Scientific paper
10.1103/PhysRevD.51.4561
We investigate fermion production in the background of Minkowski space solutions to the equations of motion of $SU(2)$ gauge theory spontaneously broken via the Higgs mechanism. First, we attempt to evaluate the topological charge $Q$ of the solutions. We find that for solutions $Q$ is not well-defined as an integral over all space-time. Solutions can profitably be characterized by the (integer-valued) change in Higgs winding number $\Delta N_H$. We show that solutions which dissipate at early and late times and which have nonzero $\Delta N_H$ must have at least the sphaleron energy. We show that if we couple a quantized massive chiral fermion to a classical background given by a solution, the number of fermions produced is $\Delta N_H$, and is not related to $Q$.
Farhi Edward
Goldstone Jeffrey
Gutmann Sam
Rajagopal Krishna
Singleton Robert
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