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Seminar of the LHEP (MIPT) theory group
April 19, 2022 16:00–18:00, Dolgoprudny, MIPT, Laboratory building, room 403
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Kronecker anomalies in quantum field theory
A. A. Artem'evabc
a Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region
b L.D. Landau Institute for Theoretical Physics of Russian Academy of Sciences
c Skolkovo Institute of Science and Technology
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Abstract:
This talk is based on the article by A. Polyakov and F. Popov [1]. We will consider several examples of the so-called "Kronecker anomaly" — the emergence of additional singular contributions to correlation functions associated with a discontinuous change in the number of degrees of freedom of fields when moving in momentum space. The presence of such contributions leads to various interesting physical consequences, such as the nonlocality of effective actions and problems with the analytical continuation of the results of QFT in a curved space from the Euclidean signature.
References
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Alexander M. Polyakov, Fedor K. Popov, arXiv: 2203.07101
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