Abstract
We establish the FKG correlation inequality for the Euclidean scalar Yukawa2 quantum field model and, when the Fermi mass is zero, for pseudoscalar Yukawa2. To do so we approximate the quantum field model by a lattice spin system and show that the FKG inequality for this system follows from a positivity condition on the fundamental solution of the Euclidean Dirac equation with external field. We prove this positivity condition by applying the Vekua-Bers theory of generalized analytic functions.
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Research partially supported by the National Research Council of Canada.
Alfred P. Sloan Foundation Fellow.
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Battle, G.A., Rosen, L. The FKG inequality for the Yukawa2 quantum field theory. J Stat Phys 22, 123–192 (1980). https://doi.org/10.1007/BF01008048
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DOI: https://doi.org/10.1007/BF01008048