Path integral representation of the index of Kähler-Dirac operators on an infinite dimensional manifold

DOI10.1016/0022-1236(89)90075-XzbMath0684.58010MaRDI QIDQ1825489

Asao Arai

Publication date: 1989

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

path integralBoson-Fermion Fock spaceKähler-Dirac operators

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Applications of manifolds of mappings to the sciences (58D30)

Related Items (12)

A stochastic approach to the Euler-Poincaré number of the loop space of a developable orbifold ⋮ Thermal stability of the Nagaoka-Thouless theorems ⋮ A general class of infinite dimensional Dirac operators and path integral representation of their index ⋮ De Rham-Hodge-Kodaira decomposition in \(\infty\)-dimensions ⋮ A functional directional derivative in infinite dimensional spaces and its application to \(\overline{\partial}\)-equations ⋮ Dirac operators in Boson-Fermion Fock spaces and supersymmetric quantum field theory ⋮ A STOCHASTIC APPROACH TO THE EULER–POINCARE CHARACTERISTIC OF A QUOTIENT OF A LOOP GROUP ⋮ Commutation properties of anticommuting self-adjoint operators, spin representation and Dirac operators ⋮ Strong anticommutativity of dirac operators on boson—fermion fock spaces and representations of a supersymmetry algebra ⋮ FUNCTIONAL INTEGRAL REPRESENTATIONS AND GOLDEN–THOMPSON INEQUALITIES IN BOSON–FERMION SYSTEMS ⋮ Characterization of anticommutativity of self-adjoint operators in connection with Clifford algebra and applications ⋮ Upper bounds on the charge susceptibility of many-electron systems coupled to the quantized radiation field

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