Unparticle Example in 2D

Journal Article · Fri Sep 26 00:00:00 EDT 2008 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.101.131603· OSTI ID:21179748

Georgi, Howard; Kats, Yevgeny ^[1]

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1. Center for the Fundamental Laws of Nature, Jefferson Physical Laboratory, Harvard University, Cambridge, Massachusetts 02138 (United States)

We discuss what can be learned about unparticle physics by studying simple quantum field theories in one space and one time dimension. We argue that the exactly soluble 2D theory of a massless fermion coupled to a massive vector boson, the Sommerfield model, is an interesting analog of a Banks-Zaks model, approaching a free theory at high energies and a scale-invariant theory with nontrivial anomalous dimensions at low energies. We construct a toy standard model coupling to the fermions in the Sommerfield model and study how the transition from unparticle behavior at low energies to free particle behavior at high energies manifests itself in interactions with the toy standard model particles.

• OSTI ID: 21179748
• Journal Information: Physical Review Letters, Vol. 101, Issue 13; Other Information: DOI: 10.1103/PhysRevLett.101.131603; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
FERMIONS
MASSLESS PARTICLES
STANDARD MODEL
TWO-DIMENSIONAL CALCULATIONS