Small h asymptotics for quantum partition functions associated to particles in external Yang-Mills potentials

DOI10.1007/BF01215284zbMath0534.58028OpenAlexW2052824783MaRDI QIDQ790501

Robert Schrader, Michael E. Taylor

Publication date: 1984

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01215284

zbMATH Keywords

gauge fieldWeyl chamberprincipal G-bundlequantum partition function

Mathematics Subject Classification ID

Constructive quantum field theory (81T08) Applications of global differential geometry to the sciences (53C80) Applications of dynamical systems (37N99) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Geometric quantization (53D50)

Related Items (17)

Approximation semi-classique de l'equation de Heisenberg. (Semi-classical approximation of the Heisenberg equation) ⋮ Étude semi-classique d'observables quantiques ⋮ Inverse boundary problems for systems in two dimensions ⋮ Inverse Scattering Problem for the Schrödinger Operator with External Yang–Mills Potentials in Two Dimensions at Fixed Energy ⋮ The effects of a magnetic field on asymptotics of the trace of the heat kernel ⋮ The semi-classical expansion for a charged particle on a curved space background ⋮ Asymptotic heat kernel expansion in the semi-classical limit ⋮ The trace formula for vector bundles ⋮ A Feynman-Kac formula for the quantum Heisenberg ferromagnet. II ⋮ \(L^ p\)-estimates on functions of the Laplace operator ⋮ The Resolvent Parametrix of the General Elliptic Linear Differential Operator: A Closed Form for the Intrinsic Symbol ⋮ Semiclassical spectra of gauge fields ⋮ Spectral theory of the frame flow on hyperbolic 3-manifolds ⋮ A Feynman-Kac formula for the quantum Heisenberg ferromagnet. I ⋮ Semiclassical asymptotics, gauge fields, and quantum chaos ⋮ Stationary scattering in the semi-classical limit for a Schrödinger operator in a gauge field ⋮ Clustering theorems with twisted spectra

Cites Work

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• The action option and a Feynman quantization of spinor fields in terms of ordinary \(C\)-numbers
• Classical limits for quantum particles in external Yang-Mills potentials
• Asymptotic behavior of multiplicities of representations of compact groups
• The classical limit of quantum partition functions
• Differentiable invariants
• The classical limit of quantum spin systems
• Grazing rays and reflection of singularities of solutions to wave equations
• First‐order hyperbolic systems with a small viscosity term
• The Equation of State of a Non-ideal Einstein-Bose or Fermi-Dirac Gas
• Minimal coupling and the symplectic mechanics of a classical particle in the presence of a Yang-Mills field
• Functions of Several Self-Adjoint Operators

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