On noncommutative vacua and noncommutative solitons
A.S.Gorsky, Y.M.Makeenko, K.G.Selivanov
TL;DR
This paper explores noncommutative scalar field theory, identifying projector solitons as classical vacua, discussing localized solutions and their brane interpretation, and providing an example of a noncommutative soliton connecting these vacua without assuming strong noncommutativity.
Contribution
It introduces a new interpretation of projector solitons as vacua and analyzes localized solutions and their brane interpretation in noncommutative scalar field theory.
Findings
Projector solitons serve as classical vacua.
Localized solutions with brane interpretation are identified.
An example of a noncommutative soliton interpolating vacua is provided.
Abstract
We consider noncommutative theory of a compact scalar field. The recently discovered projector solitons are interpreted as classical vacua in the model considered. Localized solutions to the projector equation are pointed out and their brane interpretation is discussed. An example of the noncommutative soliton interpolating between such vacua is given. No strong noncommutativity limit is assumed.
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