Schwinger functions are the Euclidean correlation functions of a Euclidean quantum field theory . For a scalar field
The Schwinger functions are also called Euclidean Green's functions.
The Osterwalder-Schrader axioms , including Euclidean covariance, symmetry, regularity, clustering, and reflection
positivity , give conditions under which a family of Schwinger functions reconstructs
a quantum field theory on Minkowski
space .
See also Euclidean Quantum Field Theory ,
Functional Integral ,
Minkowski
Space ,
Osterwalder-Schrader Axioms ,
Quantum Field Theory
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References Glimm, J. and Jaffe, A. Quantum Physics: A Functional Integral Point of View, 2nd ed. Osterwalder, K. and Schrader, R. "Axioms for Euclidean Green's
Functions." Comm. Math. Phys. 31 , 83-112, 1973. https://doi.org/10.1007/BF01645738 . Osterwalder,
K. and Schrader, R. "Axioms for Euclidean Green's Functions. II." Comm.
Math. Phys. 42 , 281-305, 1975. https://doi.org/10.1007/BF01608978 .
Cite this as:
Weisstein, Eric W. "Schwinger Function."
From MathWorld https://mathworld.wolfram.com/SchwingerFunction.html
Subject classifications
, the 
-point Schwinger function is formally
