Axioms for Euclidean Green's functions II

@article{Osterwalder1973AxiomsFE,
  title={Axioms for Euclidean Green's functions II},
  author={Konrad Osterwalder and Robert Schrader},
  journal={Communications in Mathematical Physics},
  year={1973},
  volume={42},
  pages={281-305}
}
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. 
Hyperfunction quantum field theory II. Euclidean Green's functions
The axioms for Euclidean Green's functions are extended to hyperfunction fields without being supplemented by any condition like the linear growth condition of Osterwalder and Schrader.
Euclidean Green functions for quantum Fainberg-Iofa fields
We give necessary and sufficient conditions for Euclidean Green functions to have analytic continuation to a relativistic field theory with exponential growth in momentum space (= the Fainberg-Iofa
Axioms for renormalization in Euclidean quantum field theory
A set of axioms which fix Euclidean renormalizations up to a finite renormalization is proposed. There exists a one to one correspondence between Euclidean renormalizations and renormalizations in
Constructive Liouville Conformal Field Theory
These lectures give an introduction to a probabilistic approach to Liouville Quantum Field Theory developed in a joint work with F. David, R. Rhodes and V. Vargas.
Euclidean Relativistic Quantum Mechanics: Scattering Asymptotic Conditions
We discuss the formulation of the scattering asymptotic condition in a relativistic quantum theory formulated in terms of reflection positive Euclidean Green functions.
Conformal Invariant Euclidean Quantum Field Theory
The paper presents a review of conformal covariant quantum field theory with anomalous dimensions. An emphasis is made on the Euclidean formulation of conformal invariance and skeleton perturbation
Dirac Quantum Field on Curved Spacetime: Wick Rotation
For a linear Dirac field on a globally hyperbolic static space-time the analytic continuation of its Wightman functions (Green functions) to Schwinger functions and back at zero and finite
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
...
...

References

SHOWING 1-10 OF 38 REFERENCES
Axioms for Euclidean Green's functions
We establish necessary and sufficient conditions for Euclidean Green's functions to define a unique Wightman field theory.
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.
On the equivalence of the Euclidean and Wightman formulation of field theory
A mistake in the paper [1] on the “Axioms for Euclidean Green's Functions” is corrected in the following sense: thanks to these axioms the Euclidean Schwinger functionsSn can be analytically
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
Distributions and Their Hermite Expansions
We present a self‐contained treatment of the technical parts of distribution theory needed in quantum field theory. The treatment is particularly suited for physicists since an absolute minimum of
Positivity of the φ 34 Hamiltonian
The renormalized φ Hamiltonian is bounded from below by a constant proportional to the volume.
THE POSITIVITY CONDITION IN MOMENTUM SPACE
A formulation of the positivity condition within the framework of the general field theory is given in mo­ mentum space. It is shown how the usual requirements of locality and spectrum can be
Problems of theoretical physics
Thirty-three papers are presented on theoretical problems in quantum field theory, elementary particle theory, classical and quantum electrodynamics, and many body quantum theory and solid state
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
...
...