Asymptotic Safety in Einstein Gravity and Scalar-Fermion Matter

Journal Article · Thu Dec 02 23:00:00 EST 2010 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.105.231601· OSTI ID:21554434

Vacca, G P ^[1]; Zanusso, O ^[2]

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1. INFN, sezione di Bologna, via Irnerio 46, I-40126 Bologna (Italy)
2. SISSA, via Bonomea 265, I-34136 Trieste (Italy) and INFN, sezione di Trieste (Italy)

Within the functional renormalization group approach we study the effective quantum field theory of Einstein gravity and one self-interacting scalar coupled to N{sub f} Dirac fermions. We include in our analysis the matter anomalous dimensions induced by all the interactions and analyze the highly nonlinear beta functions determining the renormalization flow. We find the existence of a nontrivial fixed point structure both for the gravity and the matter sector, besides the usual Gaussian matter one. This suggests that asymptotic safety could be realized in the gravitational sector and in the standard model. Nontriviality in the Higgs sector might involve gravitational interactions.

• OSTI ID: 21554434
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 23 Vol. 105; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASYMPTOTIC SOLUTIONS
BASIC INTERACTIONS
BOSONS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
GRAND UNIFIED THEORY
GRAVITATION
GRAVITATIONAL INTERACTIONS
HIGGS BOSONS
HIGGS MODEL
INTERACTIONS
MATHEMATICAL MODELS
MATHEMATICAL SOLUTIONS
MATTER
NONLINEAR PROBLEMS
PARTICLE MODELS
POSTULATED PARTICLES
QUANTUM FIELD THEORY
RENORMALIZATION
SCALARS
STANDARD MODEL
UNIFIED GAUGE MODELS