NDLI: Homotopic Classification of Yang–Mills Vacua Taking into Account Causality

Content Provider	Springer Nature Link
Author	Etesi, Gábor
Copyright Year	2006
Abstract	Existence of θ-vacuum states in Yang–Mills theories defined over asymptotically flat space-times examined taking into account not only the topology but the complicated causal structure of these space-times, too. By a result of Galloway apparently causality makes all vacuum states, seen by a distant observer, homotopically equivalent making the introduction of θ-terms unnecessary. But a more careful analysis shows that certain twisted classical vacuum states survive even in this case eventually leading to the conclusion that the concept of “θ-vacua” is meaningful in the case of general Yang–Mills theories. We give a classification of these vacuum states based on Isham’s results showing that the Yang–Mills vacuum has the same complexity as in the flat Minkowskian case hence the general CP-problem is not more complicated than the well-known flat one. We also construct the θ vacua rigorously via geometric quantization.
Starting Page	832
Ending Page	847
Page Count	16
File Format	PDF
ISSN	00207748
Journal	International Journal of Theoretical Physics
Volume Number	46
Issue Number	4
e-ISSN	15729575
Language	English
Publisher	Kluwer Academic Publishers-Plenum Publishers
Publisher Date	2007-01-31
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	θ-vacua asymptotical flatness causality topological censorship Mathematical and Computational Physics Elementary Particles, Quantum Field Theory Quantum Physics Physics
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy Mathematics

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