Noncommutative gauge theory and symmetry breaking in matrix models

Journal Article · Thu Apr 15 04:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.085034· OSTI ID:21409657

Grosse, Harald; Steinacker, Harold ^[1]; Lizzi, Fedele ^[2]

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1. Department of Physics, University of Vienna, Boltzmanngasse5, A-1090 Vienna (Austria)
2. Dipartimento di Scienze Fisiche, Universita di Napoli Federico II and INFN, Sezione di Napoli, Via Cintia, 80126 Napoli (Italy)

We show how the fields and particles of the standard model can be naturally realized in noncommutative gauge theory. Starting with a Yang-Mills matrix model in more than four dimensions, an SU(n) gauge theory on a Moyal-Weyl space arises with all matter and fields in the adjoint of the gauge group. We show how this gauge symmetry can be broken spontaneously down to SU(3){sub c}xSU(2){sub L}xU(1){sub Q}[resp. SU(3){sub c}xU(1){sub Q}], which couples appropriately to all fields in the standard model. An additional U(1){sub B} gauge group arises which is anomalous at low energies, while the trace-U(1) sector is understood in terms of emergent gravity. A number of additional fields arise, which we assume to be massive, in a pattern that is reminiscent of supersymmetry. The symmetry breaking might arise via spontaneously generated fuzzy spheres, in which case the mechanism is similar to brane constructions in string theory.

• OSTI ID: 21409657
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMMUTATION RELATIONS
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
FIELD THEORIES
GAUGE INVARIANCE
GRAND UNIFIED THEORY
GRAVITATION
INVARIANCE PRINCIPLES
LIE GROUPS
M-THEORY
MATHEMATICAL MODELS
PARTICLE MODELS
PARTICLES
QUANTUM FIELD THEORY
QUARK MODEL
SPACE
STANDARD MODEL
STRING MODELS
STRING THEORY
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SUPERSYMMETRY
SYMMETRY
SYMMETRY BREAKING
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS
UNIFIED GAUGE MODELS
YANG-MILLS THEORY