BRST Cohomology and Renormalizability of Quantum Gravity near Two Dimensions
Yoshihisa Kitazawa (Tokyo Institute of Technology), Rie Kuriki (Tokyo, Institute of Technology), Katsumi Shigura (Tokyo Institute of Technology)
TL;DR
This paper investigates the renormalizability of quantum gravity close to two dimensions by analyzing BRST cohomology, confirming the structure of counterterms used in previous proofs.
Contribution
It provides a cohomological analysis that justifies the counterterm structure in the renormalization proof of quantum gravity near two dimensions.
Findings
Confirmed the structure of counterterms in quantum gravity near two dimensions.
Validated the assumptions used in previous renormalizability proofs.
Enhanced understanding of BRST cohomology in quantum gravity.
Abstract
We discuss the renormalizability of quantum gravity near two dimensions based on the results obtained by a computation of the BRST-antibracket cohomology in the space of local functionals of the fields and antifields. We justify the assumption on the general structure of the counterterms which have been used in the original proof of renormalizability of the quantum gravity near two dimensions.
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