Quantum anomalies via differential properties of Lebesgue-Feynman generalized measures

DOI10.1134/S0081543820050077zbMath1453.81031OpenAlexW3110663975MaRDI QIDQ2214282

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

Publication date: 8 December 2020

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543820050077

Mathematics Subject Classification ID

Feynman diagrams (81T18) Anomalies in quantum field theory (81T50) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Systems of nonsingular linear integral equations (45F05) Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds (46T12) Generalized ordinary differential equations (measure-differential equations, set-valued differential equations, etc.) (34A06)

Related Items (1)

Extension of the generalized Lebesgue-Feynman-Smolyanov measure on a Hilbert space

Cites Work

• Quantum anomalies and logarithmic derivatives of Feynman pseudomeasures
• Differentiable families of measures
• Change of variable formulas for infinite-dimensional distributions
• Noether theorems and quantum anomalies
• Note on product formulas for operator semigroups
• Path Integrals and Quantum Anomalies
• Functional Representations for Fock Superalgebras
• Gauge Field Theories
• Hamiltonian Feynman path integrals via the Chernoff formula
• Feynman Integrals and the Schrödinger Equation
• Topological Vector Spaces and Their Applications
• Space-Time Approach to Non-Relativistic Quantum Mechanics
• An Operator Calculus Having Applications in Quantum Electrodynamics
• Functional Integration

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