1997/06/19 by C. Rebbi, Claudio Rebbi, Rebbi, Claudio +3
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/9706424
44 pages, LaTeX, 8 figures. This paper is based on talks given by C. Rebbi and R. Singleton at the 1996 Summer School on Cosmology and High Energy Physics, held at ICTP in Trieste, Italy
arxiv created 1997/06/19 · openalex publication_date 1997/06/19 · arxiv updated 2012/08/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We review some promising numerical techniques for calculating high energy baryon number violating cross sections in the standard model. As these lectures are designed to be self- contained, we present in some detail the formalism of Rubakov, Son, and Tinyakov, which provides a means of bounding the two-particle cross sections in a semi-classical manner. The saddle-point solutions required by this method must be found computationally and are of two basic types, corresponding to tunneling events between adjacent topological sectors on the one hand, and classically allowed evolution over the sphaleron barrier on the other. In both cases one looks for topology changing solutions of small incident particle number. In the classically allowed regime we have developed a Monte Carlo technique that systematically lowers the particle number while still ensuring that a change in topology takes place. We also make progress towards a numerical method amenable for the more computationally challenging problem of finding the complexified tunneling solutions, and we present some of our numerical findings, both above and below the sphaleron barrier.