A STOCHASTIC DERIVATION OF THE GEODESIC RULE

Author:

KALOGEROPOULOS NIKOS1

Affiliation:

1. Department of Science, BMCC – The City University of New York, 199 Chambers St., New York, NY 10007, USA

Abstract

We argue that the geodesic rule, for global defects, is a consequence of the randomness of the values of the Goldstone field ϕ in each causally connected volume. As these volumes collide and coalescence, ϕ evolves by performing a random walk on the vacuum manifold [Formula: see text]. We derive a Fokker–Planck equation that describes the continuum limit of this process. Its fundamental solution is the heat kernel on [Formula: see text], whose leading asymptotic behavior establishes the geodesic rule.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. THE GEODESIC RULE FOR HIGHER CODIMENSIONAL GLOBAL DEFECTS;Modern Physics Letters A;2008-08-20

2. THE GEODESIC RULE AND THE SPECTRUM OF THE VACUUM;Modern Physics Letters A;2006-07-20

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