Published September 15, 2008 | Version v1
Journal article

Canonical gravity with fermions

  • 1. Department of Physics and Astronomy, Vanderbilt University, Nashville, Tennessee 37235 and Institute for Gravitation and the Cosmos, Pennsylvania State University, 104 Davey Lab, University Park, Pennsylvania 16802 (United States)
  • 2. Institute for Gravitation and the Cosmos, Pennsylvania State University, 104 Davey Lab, University Park, Pennsylvania 16802 (United States)

Description

Canonical gravity in real Ashtekar-Barbero variables is generalized to allow for fermionic matter. The resulting torsion changes several expressions in Holst's original vacuum analysis, which are summarized here. This in turn requires adaptations to the known loop quantization of gravity coupled to fermions, which is discussed on the basis of the classical analysis. As a result, parity invariance is not manifestly realized in loop quantum gravity.

Additional details

Publishing Information

Journal Title
Physical Review. D, Particles Fields
Journal Volume
78
Journal Issue
6
Journal Page Range
p. 064009-064009.16
ISSN
0556-2821
CODEN
PRVDAQ

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
41004683
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
FERMIONS; GRAVITATION; PARITY; QUANTIZATION; QUANTUM GRAVITY; TORSION
Descriptors DEC
FIELD THEORIES; PARTICLE PROPERTIES; QUANTUM FIELD THEORY

Optional Information

Notes
(c) 2008 The American Physical Society