Anomaly-induced effective action of gravity: some new results
Seminars
Seminar “Modern Mathematical Physics”
Date and Time: Tuesday, 28 July 2020, at 1:00 PM
Venue: Online conference in Zoom, Bogoliubov Laboratory of Theoretical Physics
Seminar topic: «Anomaly-induced effective action of gravity: some new results»
Speaker: Ilya L. Shapiro (Universidade Federal de Juiz de Fora, Juiz de Fora, Minas Gerais, Brazil)
Abstract:
The effective action of gravity is supposed to contains the main information about quantum corrections to gravity. However, in many cases it cannot be calculated exactly. A remarkable and important exception is the effective action of vacuum for massless and conformal-invariant matter fields. In this case the vacuum effective action can be easily derived by integrating trace anomaly. The integration constant is an unknown conformal functional of the background metric, but for zero-order cosmology this functional is irrelevant and the solution becomes exact. Until recently the integrated anomaly was known only in dimensions d=2 and d=4, but recently we achieved the explicit result for d=6, which confirms the universal functional structure of the effective action. Some related aspects of local anomaly generated terms will be briefly discussed.