Path integral representation of the index of Kähler-Dirac operators on an infinite dimensional manifold
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Publication:1825489
DOI10.1016/0022-1236(89)90075-XzbMath0684.58010MaRDI QIDQ1825489
Publication date: 1989
Published in: Journal of Functional Analysis (Search for Journal in Brave)
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
Cites Work
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- On the formula of Mathews and Salam
- Axial anomalies and index theorems on open spaces
- The Atiyah-Singer theorems: A probabilistic approach. I: The index theorem
- The eta invariant and the K-theory of odd dimensional spherical space forms
- Supersymmetry and singular perturbations
- De Rham-Hodge-Kodaira's decomposition on an abstract Wiener space
- On dimensional reduction of functional measures
- Euclidean Fermi fields
- Supersymmetry and Morse theory
- Notes on infinite determinants of Hilbert space operators
- Applications of a commutation formula
- Supersymmetric path integrals
- Essential self-adjointness of Schrödinger operators with positive potentials
- Hypercontra ctive semigroups and two dimensional self-coupled Bose fields
- Two theorems about \(C_p\)
- Tensor Algebras Over Hilbert Spaces. I
- Witten index, axial anomaly, and Krein’s spectral shift function in supersymmetric quantum mechanics
- Notes towards the construction of nonlinear relativistic quantum fields. II: The basic nonlinear functions in general space-times
- The Mathematics of Second Quantization
- Supersymmetry and the Atiyah-Singer index theorem
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