Implication of compensator field and local scale invariance in the standard model

Journal Article · Mon Jun 15 04:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.79.125025· OSTI ID:21301032

Nishino, Hitoshi; Rajpoot, Subhash ^[1]

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1. Department of Physics and Astronomy, California State University, 1250 Bellflower Boulevard, Long Beach, California 90840 (United States)

We introduce Weyl's scale symmetry into the standard model as a local symmetry. This necessarily introduces gravitational interactions in addition to the local scale invariance group U-tilde(1) and the standard model groups SU(3)xSU(2)xU(1). The only other new ingredients are a new scalar field {sigma} and the gauge field for U-tilde(1) we call the Weylon. A noteworthy feature is that the system admits the Stueckelberg-type compensator. The {sigma} couples to the scalar curvature as (-{zeta}/2){sigma}{sup 2}R and is in turn related to a Stueckelberg-type compensator {phi} by {sigma}{identical_to}M{sub P}e{sup -{phi}/M{sub P}} with the Planck mass M{sub P}. The particular gauge {phi}=0 in the Stueckelberg formalism corresponds to {sigma}=M{sub P}, and the Hilbert action is induced automatically. In this sense, our model presents yet another mechanism for breaking scale invariance at the classical level. We show that our model naturally accommodates the chaotic inflation scenario with no extra field.

• OSTI ID: 21301032
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 12 Vol. 79; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHAOS THEORY
GAUGE INVARIANCE
GRAVITATIONAL INTERACTIONS
MASS
SCALAR FIELDS
SCALE INVARIANCE
STANDARD MODEL
SU-2 GROUPS
SU-3 GROUPS
SYMMETRY
U-1 GROUPS