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Fermionic stochastic differential equations and the index of Fredholm operators

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Abstract

The index of a Fredholm operator associated to aθ-summable Fredholm module is expressed in terms of the vacuum expectation value of a unitary operator-valued stochastic process which satisfies a stochastic differential equation with unbounded coefficients driven by fermion noise.

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Authors and Affiliations

  1. Department of Mathematics, Statistics and Operational Research, The Nottingham Trent University, Burton Street, NG1 4BU, Nottingham, England

    David Applebaum

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  1. David Applebaum
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Applebaum, D. Fermionic stochastic differential equations and the index of Fredholm operators. Lett Math Phys 28, 231–237 (1993). https://doi.org/10.1007/BF00745154

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  • DOI: https://doi.org/10.1007/BF00745154

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