On the vacuum states for non-commutative gauge theory

On the vacuum states for non-commutative gauge theory

Candidates for renormalizable gauge theory models on Moyal spaces constructed recently have non-trivial vacua. We show that these models support vacuum states that are invariant under both global rotations and symplectic isomorphisms which form a global symmetry group for the action. We compute the...

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Veröffentlicht in:The European physical journal. C, Particles and fields Particles and fields, 2008-07, Vol.56 (2), p.293-304
Hauptverfasser: de Goursac, A., Wallet, J.-C., Wulkenhaar, R.
Format: Artikel
Sprache:eng
Schlagworte:
Astronomy
Astrophysics and Cosmology
Elementary Particles
Gauge theory
Hadrons
Heavy Ions
Isomorphism
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
String Theory
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Zusammenfassung:Candidates for renormalizable gauge theory models on Moyal spaces constructed recently have non-trivial vacua. We show that these models support vacuum states that are invariant under both global rotations and symplectic isomorphisms which form a global symmetry group for the action. We compute the explicit expression in position space for these vacuum configurations in two and four dimensions.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-008-0652-0