Published May 26, 2006 | Version v1
Journal article

New developments in the spectral asymptotics of quantum gravity

  • 1. INFN, Sezione di Napoli, and Dipartimento di Scienze Fisiche, Complesso Universitario di Monte S Angelo, Via Cintia, Edificio N', 80126 Naples (Italy)
  • 2. Department of Physics, New Mexico Institute of Mining and Technology, Leroy Place 801, Socorro, NM 87801 (United States)
  • 3. Dipartimento di Fisica and INFN, Sezione di Bologna, Via Irnerio 46, 40126 Bologna (Italy)
  • 4. Department of Mathematics, Baylor University, Waco, TX 76798 (United States)

Description

A vanishing one-loop wavefunction of the universe in the limit of small 3-geometry is found, on imposing diffeomorphism-invariant boundary conditions on the Euclidean 4-ball in the de Donder gauge. This result suggests a quantum avoidance of the cosmological singularity driven by full diffeomorphism invariance of the boundary-value problem for one-loop quantum theory. All of this is made possible by a peculiar spectral cancellation on the Euclidean 4-ball, here derived and discussed

Availability note (English)

Available online at http://stacks.iop.org/0305-4470/39/6317/a6_21_s23.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/

Additional details

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and General
Journal Volume
39
Journal Issue
21
Journal Page Range
p. 6317-6322
ISSN
0305-4470
CODEN
JPHAC5

Conference

Title
7. workshop on quantum field theory under the influence of external conditions
Acronym
QFEXT05
Dates
5-9 Sep 2005
Place
Barcelona (Spain)

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
37119920
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
BOUNDARY CONDITIONS; BOUNDARY-VALUE PROBLEMS; COSMOLOGICAL MODELS; EUCLIDEAN SPACE; GEOMETRY; QUANTUM GRAVITY; SINGULARITY; UNIVERSE; WAVE FUNCTIONS
Descriptors DEC
FIELD THEORIES; FUNCTIONS; MATHEMATICAL MODELS; MATHEMATICAL SPACE; MATHEMATICS; QUANTUM FIELD THEORY; RIEMANN SPACE; SPACE