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Quantum anomalies and logarithmic derivatives of feynman pseudomeasures

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Abstract

Connections between quantum anomalies and transformations of pseudomeasures of the type of Feynman pseudomeasures are studied. Mathematical objects related to the notion of the volume element in an infinite-dimensional space considered in the physics literature [1] are discussed.

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Authors and Affiliations

  1. Institute of Mathematics, Physics, and Computer Sciences, Aberystwyth University, Aberystwyth, Great Britain

    J. Gough

  2. Section de Mathématiques and Bernoulli Center, École Polytechnique Fédérale de Lausanne, CH-1015, Lausanne, Switzerland

    T. S. Ratiu

  3. Mechanics and Mathematics Faculty, Moscow State University, Moscow, 119991, Russia

    O. G. Smolyanov

Authors
  1. J. Gough
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  2. T. S. Ratiu
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  3. O. G. Smolyanov
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Corresponding author

Correspondence to T. S. Ratiu.

Additional information

Original Russian Text © J. Gough, T.S. Ratiu, O.G. Smolyanov, 2015, published in Doklady Akademii Nauk, 2015, Vol. 465, No. 6, pp. 651–655.

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Gough, J., Ratiu, T.S. & Smolyanov, O.G. Quantum anomalies and logarithmic derivatives of feynman pseudomeasures. Dokl. Math. 92, 764–768 (2015). https://doi.org/10.1134/S1064562415060356

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  • DOI: https://doi.org/10.1134/S1064562415060356

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