PIRSA:15100074

BV-BFV Approach to General Relativity

Schiavina, M. (2015). BV-BFV Approach to General Relativity. Perimeter Institute. https://pirsa.org/15100074

Schiavina, Michele. BV-BFV Approach to General Relativity. Perimeter Institute, Oct. 29, 2015, https://pirsa.org/15100074 

          @misc{ pirsa_PIRSA:15100074,
            doi = {10.48660/15100074},
            url = {https://pirsa.org/15100074},
            author = {Schiavina, Michele},
            keywords = {Quantum Gravity},
            language = {en},
            title = {BV-BFV Approach to General Relativity},
            publisher = {Perimeter Institute},
            year = {2015},
            month = {oct},
            note = {PIRSA:15100074 see, \url{https://pirsa.org}}
          }

Michele Schiavina

ETH Zurich

Talk number
PIRSA:15100074
Collection
Talk Type
Subject
Abstract

We analyse different classical formulations of General Relativity in the Batalin (Frad-
kin) Vilkovisky framework with boundary, as a first step in the program of CMR [1] quantisation. Success and failure in satisfying the axioms will allow us to discriminate among the different descriptions, suggesting that some are more suitable than others in view of perturbative quantisation. Based on a joint work with A. Cattaneo [2, 3] we will present the details of the application of the BV-BFV formalism to the Einstein-Hilbert and Palatini-Holst formulations of General Relativity. We show that the two descriptions are no longer equivalent from this point of view, and we discuss possible interpretations of this result.

[1] A. S. Cattaneo, P. Mnëv, N. Reshetikhin, Classical BV theories on manifolds with boundary, Comm. Math. Phys. 332, 2, 535-603 (2014); A.S. Cattaneo, P. Mnëv, N. Reshetikhin, Perturbative quantum gauge theories on manifolds with boundary, arXiv:1507.01221
[2] A. S. Cattaneo, M. Schiavina, BV-BFV analysis of General Relativity. Part I: Einstein Hilbert action, arXiv:1509.05762 (2015).
[3] A. S. Cattaneo, M. Schiavina, BV-BFV analysis of General Relativity. Part II: Palatini Holst action, in preparation; A. S. Cattaneo, M. Schiavina, On time, in preparation.