Bulgarian Journal of Physics

Bulgarian Journal of Physics

Print: 1310-0157 Online: 1314-2666

RECOGNIZED BY THE EUROPEAN PHYSICAL SOCIETY APPROVED BY THE EUROPEAN COMMISSION

Bulg. J. Phys. vol.36 no.3 (2009), pp. 199-213

Talk on Anomalies in Quantum Field Theory and Cohomologies of Configuration Spaces

N.M. Nikolov
Institute for Nuclear Research and Nuclear Energy, Tsarigradsko Chaussee 72, BG-1784 Sofia, Bulgaria

Abstract. In this work the deviation from commutativity of the renormalization and the action of all linear partial differential operators is investigated. This deviation is the source of the anomalies in quantum field theory, including the renormalization group action, and it is characterized by certain renormalization cocycles. Cohomological differential equations are obtained over the so called (ordered) configuration spaces, which determine the renormalization cocycles up to the renormalization freedom.

Full-text: PDF

go back

RECOGNIZED BY THE EUROPEAN PHYSICAL SOCIETY APPROVED BY THE EUROPEAN COMMISSION

2-8 July 2023 The International Workshop on Nuclear Theory (IWNT) is annually organized since 1980 by the Nuclear Theory Laboratory (NTL) of the Institute for Nuclear Research and Nuclear Energy of the Bulgarian Academy of Sciences. Proceedings of the Workshop will be published.

Bulg. J. Phys. vol.36 no.3 (2009), pp. 199-213

Talk on Anomalies in Quantum Field Theory and Cohomologies of Configuration Spaces

Full-text: PDF

2-8 July 2023
The International Workshop on Nuclear Theory (IWNT) is annually organized since 1980 by the Nuclear Theory Laboratory (NTL) of the Institute for Nuclear Research and Nuclear Energy of the Bulgarian Academy of Sciences. Proceedings of the Workshop will be published.