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1. Action minima among solutions to a class of Euclidean scalar field equations

Author

V. Glaser, Alain J. Martin, and Sidney Richard Coleman

Subjects
Physics, Class (set theory), Scalar field theory, Statistical and Nonlinear Physics, 81.49, Scalar multiplication, Action (physics), Maxima and minima, Classical mechanics, Euclidean geometry, Scalar field, Mathematical Physics, General Theoretical Physics, Mathematical physics, False vacuum
Abstract

We show that for a wide class of Euclidean scalar field equations, there exist non-trivial solutions, and the non-trivial solution of lowest action is spherically symmetric. This fills a gap in a recent analysis of vacuum decay by one of us.

Published
1977

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