28 ноября 2023 г. to 1 декабря 2023 г.
Europe/Moscow timezone

New results on the conformal anomaly and anomaly-induced effective action of gravity

28 нояб. 2023 г., 17:35
45m
Gravitation & Cosmology Afternoon session 28/11/2023

Speaker

Prof. Ilya Shapiro (Universidade Federal de Juiz de Fora, MG - Brazil)

Описание

Trace anomaly is one of the most relevant manifestations of quantum field theory in curved spacetime. It was shown long ago that anomaly is behind such important applications as Hawking radiation from black holes and the full version of the Starobinsky inflationary model. In many cases, such as using conformal anomaly in black hole physics or exploring quantum effects on the gravitational waves in curved space, it is more useful and, in some sense, necessary to work with effective action. In four spacetime dimensions (4D) the relevant forms of anomaly-induced action were derived between 40 and 30 years ago. However, recently we got some new results in this area, including integration of anomaly in 6D and the covariant nonlocal forms of the induced action with external scalar fields and external torsion. On top of that, now we have a better understanding of the ambiguities related to local terms, in both semiclassical theory and conformal quantum gravity.

Information on the subject:

Fabricio M. Ferreira and Ilya L. Shapiro, Integration of
trace anomaly in 6D, Phys. Lett. B772 (2017) 174, arXiv:1702.06892.

Manuel Asorey, Wagno Cesar e Silva, Ilya L. Shapiro, and Publio R.B. do Vale, Trace anomaly and induced action for a metric-scalar background, Eur. Phys. J. C83 (2023) 157, e-Print: 2202.00154.

Guilherme H. S. Camargo and Ilya L. Shapiro, Anomaly-induced vacuum effective action with torsion: covariant solution and ambiguities, Phys. Rev. D106 (2022) 045004, arXiv:2206.02839.

Ilya L. Shapiro, Antisymmetric Tensor Field and Cheshire Cat
Smile of the Local Conformal Symmetry, arXiv:2310.04131.

Presentation Materials

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