Quantum anomalies and logarithmic derivatives of Feynman pseudomeasures

DOI10.1134/S1064562415060356zbMath1341.81038OpenAlexW2338470260WikidataQ61948643 ScholiaQ61948643MaRDI QIDQ265997

O. G. Smolyanov, John E. Gough, Tudor S. Ratiu

Publication date: 13 April 2016

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562415060356

zbMATH Keywords

distributionsdifferentiation of measuresFeynman pseudomeasureslogarithmic derivativesquantum anomalies

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Anomalies in quantum field theory (81T50) Abstract differentiation theory, differentiation of set functions (28A15)

Related Items (5)

Noether theorems and quantum anomalies ⋮ Transformations of Feynman path integrals and generalized densities of Feynman pseudomeasures ⋮ Feynman path integrals and Lebesgue-Feynman measures ⋮ Extension of the generalized Lebesgue-Feynman-Smolyanov measure on a Hilbert space ⋮ Quantum anomalies via differential properties of Lebesgue-Feynman generalized measures

Cites Work

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• Differentiable families of measures
• Change of variable formulas for Feynman pseudomeasures
• Transformations of measures via their generalized densities
• Path Integrals and Quantum Anomalies
• SMOOTH PROBABILITY MEASURES AND ASSOCIATED DIFFERENTIAL OPERATORS
• Functional Integration

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