Open AccessNoncommutative Chern-Simons terms and the noncommutative vacuum
Author(s) -
Alexios P. Polychronakos
Publication year - 2000
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2000/11/008
Subject(s) - noncommutative geometry , superselection , noncommutative quantum field theory , commutative property , chern–simons theory , gauge theory , action (physics) , theoretical physics , simple (philosophy) , mathematical physics , physics , introduction to gauge theory , standard model (mathematical formulation) , gauge (firearms) , mathematics , quantum mechanics , pure mathematics , observable , philosophy , epistemology , archaeology , history
It is pointed out that the space noncommutativity parameters $theta^{\mu\nu}$ in noncommutative gauge theory can be considered as a set ofsuperselection parameters, in analogy with the theta-angle in ordinary gaugetheories. As such, they do not need to enter explicitly into the action. Asimple generic formula is then suggested to reproduce the Chern-Simons actionin noncommutative gauge theory, which reduces to the standard action in thecommutative limit but in general implies a cascade of lower-dimensionalChern-Simons terms. The presence of these terms in general alters the vacuumstructure of the theory and nonstandard gauge theories can emerge around thenew vacua.Comment: 10 pages, no figures; minor typos and references correcte
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