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A Representation for Fermionic Correlation Functions

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Abstract:

Let dμS(a) be a Gaussian measure on the finitely generated Grassmann algebra A. Given an even W(a)∈A, we construct an operator R on A such that

for all f(a)∈A. This representation of the Schwinger functional iteratively builds up Feynman graphs by successively appending lines farther and farther from f. It allows the Pauli exclusion principle to be implemented quantitatively by a simple application of Gram's inequality.

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Authors and Affiliations

  1. Department of Mathematics, University of British Columbia, Vancouver, B.C., Canada V6T 1Z2, , , , , , CA

    Joel Feldman

  2. Mathematik, ETH-Zentrum, CH-8092 Zürich, Switzerland, , , , , , CH

    Horst Knörrer & Eugene Trubowitz

Authors
  1. Joel Feldman
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  2. Horst Knörrer
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  3. Eugene Trubowitz
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Received: 5 August 1997 / Accepted: 10 December 1997

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Feldman, J., Knörrer, H. & Trubowitz, E. A Representation for Fermionic Correlation Functions . Comm Math Phys 195, 465–493 (1998). https://doi.org/10.1007/s002200050398

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  • DOI: https://doi.org/10.1007/s002200050398

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