Path Integrals and Quantum Anomalies

DOI10.1093/acprof:oso/9780198529132.001.0001zbMath1276.81091OpenAlexW1585733563MaRDI QIDQ2859046

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Publication date: 6 November 2013

Full work available at URL: https://semanticscholar.org/paper/e390296ea215ac53aa53999d08b4d20112bc2799

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Yang-Mills and other gauge theories in quantum field theory (81T13) Feynman diagrams (81T18) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Path integrals in quantum mechanics (81S40) Anomalies in quantum field theory (81T50) Symmetry breaking in quantum theory (81R40) Index theory and related fixed-point theorems on manifolds (58J20) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to quantum theory (81-01)

Related Items (18)

Quantum anomalies and logarithmic derivatives of Feynman pseudomeasures ⋮ Schwinger-Dyson approach to Liouville field theory ⋮ No anomalous canonical commutators induced by Berry's phase ⋮ Neglected U(1) phase in the Schrödinger representation of quantum mechanics and particle number conserving formalisms for superconductivity ⋮ Axion-polaritons in the magnetic dual chiral density wave phase of dense QCD ⋮ Gauge anomaly cancellation in chiral gauge theories ⋮ Hawking radiation, effective actions and covariant boundary conditions ⋮ Quantum anomalies via differential properties of Lebesgue-Feynman generalized measures ⋮ Spectral geometry with a cut-off: topological and metric aspects ⋮ Duality and bosonization in Schwinger–Keldysh formulation ⋮ Baryon number violation and novel canonical anti-commutation relations ⋮ Quantum field theory in a magnetic field: from quantum chromodynamics to graphene and Dirac semimetals ⋮ Entropy production in stochastic systems with fast and slow time-scales ⋮ Entropy anomaly in Langevin-Kramers dynamics with a temperature gradient, matrix drag, and magnetic field ⋮ Persistence of stationary motion under explicit symmetry breaking perturbation ⋮ High energy bosons do not propagate ⋮ Filling-enforced constraint on the quantized Hall conductivity on a periodic lattice ⋮ Schrödinger representation of quantum mechanics, Berry connection, and superconductivity

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