## Advances in Theoretical and Mathematical Physics

- Adv. Theor. Math. Phys.
- Volume 14, Number 1 (2010), 309-333.

### Non-perturbative Effective Action in Gauge Theories and Quantum Gravity

#### Abstract

We use our recently developed algebraic methods for the calculation of the heat kernel on homogeneous bundles over symmetric spaces to evaluate the non-perturbative low-energy effective action in quantum general relativity and Yang–Mills gauge theory in curved space. We obtain an exact integral repesentation for the effective action that generates all terms in the standard asymptotic epxansion of the effective action without derivatives of the curvatures effectively summing up the whole infinite subseries of all quantum corrections with low momenta.

#### Article information

**Source**

Adv. Theor. Math. Phys., Volume 14, Number 1 (2010), 309-333.

**Dates**

First available in Project Euclid: 31 August 2010

**Permanent link to this document**

https://projecteuclid.org/euclid.atmp/1283281762

**Mathematical Reviews number (MathSciNet)**

MR2684982

**Zentralblatt MATH identifier**

1201.81086

#### Citation

Avramidi, Ivan G. Non-perturbative Effective Action in Gauge Theories and Quantum Gravity. Adv. Theor. Math. Phys. 14 (2010), no. 1, 309--333. https://projecteuclid.org/euclid.atmp/1283281762