Ultraviolet properties of the self-dual Yang-Mills theory
- 77 Downloads
We compute the ultraviolet divergences in the self-dual Yang-Mills theory, both in the purely perturbative (zero instanton charge) and topologically non-trivial sectors. It is shown in particular that the instanton measure is precisely the same as the one-loop result in the standard Yang-Mills theory.
KeywordsConformal Field Theory Gauge Symmetry Renormalization Group
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
- V.I. Arnold, A.N. Varchenko and S.M. Gusein-Zade, Singularities of Differentiable Maps, Volume 2: Monodromy and Asymptotics of Integrals, Birkhäuser Boston (2012), pp. 492; Nauka Moscow (1984), pp. 335 (in Russian).Google Scholar
- C. Itzykson and J.-B. Zuber, Quantum Field Theory, McGraw-Hill International Book Co. New York (1980), pp. 705.Google Scholar
- V.N. Romanov and A.S. Schwarz, Anomalies and Elliptic Operators, Theor. Math. Phys. 41 (1979) 967 [Teor. Mat. Fiz. 41 (1979) 190].Google Scholar
- A.S. Schwarz, Elliptic operators in quantum field theory (in Russian), in Current problems in mathematics, Vol. 17, VINITI Moscow (1981), pp. 113-173.Google Scholar