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Nonexistence of Multiple-Instanton Solution of the Massless 4D ϕ4 Theory

✍ Scribed by Alfred Actor

Publisher
John Wiley and Sons
Year
1982
Tongue
English
Weight
704 KB
Volume
30
Category
Article
ISSN
0015-8208

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✦ Synopsis

Abstract

The massless ϕ^4^ theory in four Euclidean dimensions is shown not to have a multiple‐instanton solution — even though it does have a single‐instanton solution. Our criterion for a multiple‐instanton solution of this nontopological theory is that the energy‐momentum tensor of the solution be identically zero. Arguments are given that a similar result holds in any number of dimensions for a one‐component scale‐invariant scalar theory.

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