Four-dimensional deformed special relativity from group field theories

Journal Article · Fri Jan 15 04:00:00 UTC 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.024015· OSTI ID:21409079

Girelli, Florian ^[1]; Livine, Etera R ^[2]; Oriti, Daniele ^[3]

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1. SISSA, Via Beirut 2-4, 34014 Trieste, Italy and INFN, Sezione di Trieste (Italy)
2. Laboratoire de Physique, ENS Lyon, CNRS UMR 5672, 46 Allee d'Italie, 69007 Lyon (France)
3. Perimeter Institute for Theoretical Physics, 31 Caroline St, Waterloo, Ontario N2L 2Y5 (Canada)

We derive a scalar field theory of the deformed special relativity type, living on noncommutative {kappa}-Minkowski space-time and with a {kappa}-deformed Poincare symmetry, from the SO(4,1) group field theory defining the transition amplitudes for topological BF theory in 4 space-time dimensions. This is done at a nonperturbative level of the spin foam formalism working directly with the group field theory (GFT). We show that matter fields emerge from the fundamental model as perturbations around a specific phase of the GFT, corresponding to a solution of the fundamental equations of motion, and that the noncommutative field theory governs their effective dynamics.

• OSTI ID: 21409079
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 2 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
ANGULAR MOMENTUM
COMMUTATION RELATIONS
DIFFERENTIAL EQUATIONS
DISTURBANCES
EQUATIONS
EQUATIONS OF MOTION
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
LIE GROUPS
MATHEMATICAL SOLUTIONS
MATHEMATICAL SPACE
MATHEMATICS
MINKOWSKI SPACE
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
PERTURBATION THEORY
RELATIVITY THEORY
SCALAR FIELDS
SO GROUPS
SPACE
SPACE-TIME
SPIN
SYMMETRY
SYMMETRY GROUPS
TOPOLOGY
TRANSITION AMPLITUDES