Topic
Asymptotology
About: Asymptotology is a research topic. Over the lifetime, 1319 publications have been published within this topic receiving 35831 citations.
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TL;DR: In this paper, asymptotic expansion for solution of singularly perturbed equation for Markov random evolution in R d is studied. The views of regular and singular parts of solution are discussed.
Abstract: Is studied asymptotic expansion for solution of singularly perturbed equation for Markov random evolution in R d . The views of regular and singular parts of solution
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TL;DR: In this article, a simple "asymptotic dynamics" for four-dimensional gauge theories is obtained allowing an explicit construction of asymptotic spaces, and the structure of these spaces is studied; and in particular one proves that for Abelian theories they contain states with an arbitrary number of particles and antiparticles.
Abstract: Rigorous methods are used to analyze the asymptotic (large time) behavior of gauge-theory Hamiltonians in the interaction picture. A simple ''asymptotic dynamics'' for four-dimensional gauge theories is obtained allowing an explicit construction of asymptotic spaces. The structure of these spaces is studied; and in particular one proves that for Abelian theories they contain states with an arbitrary number of particles and antiparticles, whereas for non-Abelian theories either the symmetry is spontaneously broken or the asymptotic space contains no states with observable charges.
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3 citations