Topological interpretation of Barbero-Immirzi parameter

Date, Ghanashyam ; Kaul, Romesh K. ; Sengupta, Sandipan (2009) Topological interpretation of Barbero-Immirzi parameter Physical Review D, 79 (4). 044008_1-044008_7. ISSN 0556-2821

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Official URL: http://prd.aps.org/abstract/PRD/v79/i4/e044008

Related URL: http://dx.doi.org/10.1103/PhysRevD.79.044008

Abstract

We set up a canonical Hamiltonian formulation for a theory of gravity based on a Lagrangian density made up of the Hilbert-Palatini term and, instead of the Holst term, the Nieh-Yan topological density. The resulting set of constraints in the time gauge are shown to lead to a theory in terms of a real SU(2) connection which is exactly the same as that of Barbero and Immirzi with the coefficient of the Nieh-Yan term identified as the inverse of the Barbero-Immirzi parameter. This provides a topological interpretation for this parameter. Matter coupling can then be introduced in the usual manner, without changing the universal topological Nieh-Yan term.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:16418
Deposited On:15 Nov 2010 13:41
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