Conformal windows of SU(N) gauge theories, higher dimensional representations, and the size of the unparticle world

Journal Article · Thu Nov 15 04:00:00 EST 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.76.105004· OSTI ID:21027882

Ryttov, Thomas A; Sannino, Francesco ^[1]

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1. CERN Theory Division, CH-1211 Geneva 23 (Switzerland) and University of Southern Denmark, Campusvej 55, DK-5230 Odense M Niels Bohr Institute, Blegdamsvej 17, DK-2100 Copenhagen (Denmark)

We present the conformal windows of SU(N) supersymmetric and nonsupersymmetric gauge theories with vectorlike matter transforming according to higher irreducible representations of the gauge group. We determine the fraction of asymptotically free theories expected to develop an infrared fixed point and find that it does not depend on the specific choice of the representation. This result is exact in supersymmetric theories while it is an approximate one in the nonsupersymmetric case. The analysis allows us to size the unparticle world related to the existence of underlying gauge theories developing an infrared stable fixed point. We find that exactly 50% of the asymptotically free theories can develop an infrared fixed point while for the nonsupersymmetric theories it is circa 25%. When considering multiple representations, only for the nonsupersymmetric case, the conformal regions quickly dominate over the nonconformal ones. For four representations, 70% of the asymptotically free space is filled by the conformal region. According to our theoretical landscape survey the unparticle physics world occupies a sizable amount of the particle world, at least in theory space, and before mixing it (at the operator level) with the nonconformal one.

• OSTI ID: 21027882
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 76; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONFORMAL INVARIANCE
COSMOLOGY
GAUGE INVARIANCE
IRREDUCIBLE REPRESENTATIONS
QUANTUM FIELD THEORY
SPACE
SU GROUPS
SUPERSYMMETRY