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Failure of nontopological boundary conditions in gauge theories

โœ Scribed by Alfred Actor

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
571 KB
Volume
164
Category
Article
ISSN
0378-4371

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โœฆ Synopsis

In quantum gauge theory, when a particular direction x, is compactified to a circle, the energy of the vacuum V ff becomes dependent on a constant value A -#~C of the gauge potential. The parameter C is a periodic variable, and the vacuum energy typically has a local minimum at C = 0. Circular topology implies, of course, periodic boundary conditions in x,. When the boundary conditions around the circle are changed to, say, Dirichlet ones, the variable C becomes noncompact, and it turns out that the vacuum energy has no global minimum. We interpret this to mean that quantum gauge theories with Dirichlet or similar boundary conditions on actual boundaries are not well defined.

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