Abstract
The Bethe-Salpeter kernel is defined (non-perturbatively) for the weakly coupled massive Gross-Neveu model. Its large momentum properties are established. They are used to justify “subtracted” Bethe-Salpeter equations initially proposed (forϕ44) by K. Symanzik, and in turn to give non-perturbative proofs of the Wilson short distance expansion at first order and of 2-particle asymptotic completeness and related results.
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