VIII International Conference "Models in Quantum Field Theory"

New aspects of gauge-gravity relation

Oct 9, 2025, 3:00 PM

30m

Main hall

Session talk Section B: Quantum field theory methods in elementary particle physics Section B: Quantum field theory methods in elementary particle physics

Speaker

Andrei Shuvaev (NRC "Kurchatov Institute" - PNPI, Gatchina 188300 Russia)

Description

New aspects of gauge-gravity relation

The relation between four-dimensional $SO(4)$ pure Yang-Mills theory
and the gravity is discussed. The functional integral for Yang-Mills theory is rewritten in terms of the gravity metric and Riemann tensors.
Its peculiar feature is the cosmological term added to the Einstein-Hilbert action. This relation is shown to also provide a simple way to derive the linear potential resulting from the average Wilson loop in
$SO(4)$ pure Yang-Mills theory.

Published in
Phys. Rev. D 111, no.6, 066023 (2025)

Presentation materials

Shuvaev.pdf