Axioms for Euclidean Green's functions

@article{Osterwalder1973AxiomsFE,
  title={Axioms for Euclidean Green's functions},
  author={Konrad Osterwalder and Robert Schrader},
  journal={Communications in Mathematical Physics},
  year={1973},
  volume={31},
  pages={83-112}
}
We establish necessary and sufficient conditions for Euclidean Green's functions to define a unique Wightman field theory. 
View on Springer
projecteuclid.org
395 Citations
Highly Influential Citations
31
Background Citations
136
Methods Citations
81
Results Citations
3

395 Citations

Axioms for Euclidean Green's functions II
We give new (necessary and) sufficient conditions for Euclidean Green's functions to have analytic continuations to a relativistic field theory. These results extend and correct a previous paper.
Euclidean Green's functions for Jaffe fields
We extend the axioms for Euclidean Green's functions recently proposed by Osterwalder and Schrader to Jaffe fields.
Defining physics at imaginary time : reflection positivity for certain Riemannian manifolds
to the Department of Mathematics in partial fulfillment of the requirements for an honors degree.
Particle Scattering in EuclideanLattice Field Theories
A Haag-Ruelle Scattering Theory for Euclidean Lattice Field Theories is developed.
Constructive Quantum Field Theory
Axioms for Quantum Gauge Fields
The purpose of this paper is to extend the classical axiom scheme for quantum field theory to include most of the known examples of quantum gauge theories. The axioms are developed in both the…
Fractional Mellin Transform -- A possible application in CFT
We propose a fractional variant of Mellin's transform which may find an application in the Conformal Field Theory. Its advantage is the presence of an arbitrary parameter which may substantially…
Renormalization Group and divergences
Application of asymptotic freedom to the ultraviolet stability in Euclidean quantum field theories is revisited and illustrated through the hierarchical model making also use of a few technical…
de Sitter gravity/Euclidean conformal gravity correspondence
The holographic dual of a gravitational theory around the de Sitter background is argued to be a Euclidean conformal gravity theory in one fewer dimensions. The measure for the holographic theory…
Reflection Positivity Then and Now
We review the discovery of reflection positivity. We also explain a new geometric approach and proof of the reflection positivity property.
...
...

References

SHOWING 1-10 OF 24 REFERENCES
Euclidean Fermi fields and a Feynman--Kac formula for boson--fermion models
Free, covariant Euclidean, Bose, and Fermi fields are defined. and their relation with the corresponding relativistic free fields is established. Using this correspondence, a Feynman-Kac formula for…
The S Matrix in Quantum Electrodynamics
The covariant quantum electrodynamics of Tomonaga, Schwinger, and Feynman is used as the basis for a general treatment of scattering problems involving electrons, positrons, and photons. Scattering…
ON THE EUCLIDEAN STRUCTURE OF RELATIVISTIC FIELD THEORY
8 J. M. Buerger, Acta Cryst., 3, 87-97, 1950; these PROCEEDINGS, 36, 376-382, 1950. 9 D. McLachlan, these PROCEEDINGS, 37, 115-124, 1951. 10 J. Clastre and R. Gay, Compt. rend., 230, 1876-1877, 1950;…
On structure of the algebra of field operators
SummaryFields describable by Wightman-functions are investigated. It will be shown that for irreducible fields the lowest energy state is not degenerated. A necessary and sufficient condition for the…
General Theory of Quantized Fields
Give us 5 minutes and we will show you the best book to read today. This is it, the the general theory of quantized fields that will be your best choice for better reading book. Your five times will…
The free Markoff field
Topological vector spaces. London and New York: Cambridge Univ
  • 1964
Eine Bemerkung zum CTP-Theorem
  • Helv. Phys. Acta 30, 409
  • 1957
Quantum fields and Markoff fields
  • Amer. Math. Soc. Summer Institute on PDE, held at Berkeley,
  • 1971
Positivity of the φ\ Hamiltonian
  • 1972
...
...