Ghost anomalous dimension in asymptotically safe quantum gravity

Journal Article · Sat May 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.104010· OSTI ID:21409729

Eichhorn, Astrid; Gies, Holger ^[1]

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1. Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universitaet Jena, Max-Wien-Platz 1, D-07743 Jena (Germany)

We compute the ghost anomalous dimension within the asymptotic-safety scenario for quantum gravity. For a class of covariant gauge fixings and using a functional renormalization group scheme, the anomalous dimension {eta}{sub c} is negative, implying an improved UV behavior of ghost fluctuations. At the non-Gaussian UV fixed point, we observe a maximum value of {eta}{sub c{approx_equal}}-0.78 for the Landau-deWitt gauge within the given scheme and truncation. Most importantly, the backreaction of the ghost flow onto the Einstein-Hilbert sector preserves the non-Gaussian fixed point with only mild modifications of the fixed-point values for the gravitational coupling and cosmological constant and the associated critical exponents; also their gauge dependence is slightly reduced. Our results provide further evidence for the asymptotic-safety scenario of quantum gravity.

• OSTI ID: 21409729
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 10; Other Information: DOI: 10.1103/PhysRevD.81.104010; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANOMALOUS DIMENSION
ASYMPTOTIC SOLUTIONS
COMPUTERIZED SIMULATION
COSMOLOGICAL CONSTANT
COUPLING
FLUCTUATIONS
MODIFICATIONS
QUANTUM GRAVITY
RENORMALIZATION
SAFETY
FIELD THEORIES
MATHEMATICAL SOLUTIONS
QUANTUM FIELD THEORY
SCALE DIMENSION
SIMULATION
VARIATIONS