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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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