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Title:
Canonical gravity with fermions
Authors:
Bojowald, Martin; Das, Rupam
Affiliation:
AA(Institute for Gravitation and the Cosmos, The Pennsylvania State University, 104 Davey Lab, University Park, Pennsylvania 16802, USA), AA(Department of Physics and Astronomy, Vanderbilt University, Nashville, Tennessee 37235 and Institute for Gravitation and the Cosmos, The Pennsylvania State University, 104 Davey Lab, University Park, Pennsylvania 16802, USA)
Publication:
Physical Review D, vol. 78, Issue 6, id. 064009 (PhRvD Homepage)
Publication Date:
09/2008
Origin:
APS
PACS Keywords:
Canonical formalism, Lagrangians, and variational principles, Loop quantum gravity, quantum geometry, spin foams
Abstract Copyright:
(c) 2008: The American Physical Society
DOI:
10.1103/PhysRevD.78.064009
Bibliographic Code:
2008PhRvD..78f4009B

Abstract

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.
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