FKG inequality for the Yukawa/sub 2/ quantum field theory
Journal Article
·
· J. Stat. Phys.; (United States)
WE establish the FKG correlation inequality for the Euclidean scalar Yukawa/sub 2/ quantum field model and, when the Fermi mass is zero, for pseudoscalar Yukawa/sub 2/. 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.
- Research Organization:
- Mathematics Department, Texas A M University, College Station, Texas 77843
- OSTI ID:
- 5586487
- Journal Information:
- J. Stat. Phys.; (United States), Vol. 22:2
- Country of Publication:
- United States
- Language:
- English
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