| Full text | |
| Author(s): |
Total Authors: 4
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| Affiliation: | [1] Univ Sao Paulo, Inst Fis, BR-05508090 Sao Paulo, SP - Brazil
[2] Univ Western Ontario, Dept Appl Math, London, ON N6A 5B7 - Canada
[3] Algoma Univ, Dept Math & Comp Sci, Sault Ste Marie, ON P6A 2G4 - Canada
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | Physical Review D; v. 102, n. 4 AUG 17 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
We study the self-consistency of the first-order formulation of quantum gravity, which may be attained by introducing, apart from the graviton field, another auxiliary quantum field. By comparing the forms of the generating functional Z before and after integrating out the additional field, we derive a set of structural identities, which must be satisfied by the Green's functions at all orders. These are distinct from the usual Ward identities, being necessary for the self-consistency of the first-order formalism. They relate the Green's functions involving the additional quantum field to those containing a certain composite graviton field, which corresponds to its classical value. Thereby, the structural identities lead to a simple interpretation of the auxiliary field. (AU) | |
| FAPESP's process: | 18/01073-5 - Renormalizability of gauge theories in the first order formalism |
| Grantee: | Fernando Tadeu Caldeira Brandt |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |