Integral representations of the Schwinger functions for Wick polynomials in the free field
Journal Article
·
· Theor. Math. Phys.; (United States)
Integral representations for the Schwinger functions of products of Wick polynomials in the free field are obtained, i.e., Euclidean realizations of Wightman quantum fields specified by Wick polynomials in the free field are obtained. These Euclidean realizations are used to propose a new mathematically rigorous approach to the construction of quantum field theory with polynomial interaction in a finite volume of d-dimensional space-time even without ultraviolet cutoff. In particular, the generating functional of the Schwinger functions is constructed for purely imaginary values of the coupling constant. The theory constructed in this manner takes into account explicitly the presence of ultraviolet divergences and if expanded with respect to the coupling constant gives a renormalized perturbation-theory series.
- OSTI ID:
- 5709817
- Journal Information:
- Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 71:1; ISSN TMPHA
- Country of Publication:
- United States
- Language:
- English
Similar Records
Krein structures for Wightman and Schwinger functions
One-loop renormalization of Lee-Wick gauge theory
Scattering matrix for some non-polynomial interactions. I
Journal Article
·
Sun May 01 00:00:00 EDT 1988
· J. Math. Phys. (N.Y.); (United States)
·
OSTI ID:5374171
One-loop renormalization of Lee-Wick gauge theory
Journal Article
·
Fri Nov 14 23:00:00 EST 2008
· Physical Review. D, Particles Fields
·
OSTI ID:21250936
Scattering matrix for some non-polynomial interactions. I
Journal Article
·
Sun Dec 31 23:00:00 EST 1972
· Helv. Phys. Acta, v. 46, no. 4, pp. 504-534
·
OSTI ID:4376778
Related Subjects
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AXIOMATIC FIELD THEORY
COUPLING CONSTANTS
DIFFERENTIAL EQUATIONS
EQUATIONS
EUCLIDEAN SPACE
FIELD THEORIES
FOURIER TRANSFORMATION
FUNCTIONS
GAUSS FUNCTION
INTEGRAL TRANSFORMATIONS
MATHEMATICAL MANIFOLDS
MATHEMATICAL SPACE
PERTURBATION THEORY
POLYNOMIALS
QUANTUM FIELD THEORY
RENORMALIZATION
RIEMANN SPACE
SCHWINGER FUNCTIONAL EQUATIONS
SPACE
SPACE-TIME
TRANSFORMATIONS
WICK THEOREM
WIGHTMAN FIELD THEORY
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AXIOMATIC FIELD THEORY
COUPLING CONSTANTS
DIFFERENTIAL EQUATIONS
EQUATIONS
EUCLIDEAN SPACE
FIELD THEORIES
FOURIER TRANSFORMATION
FUNCTIONS
GAUSS FUNCTION
INTEGRAL TRANSFORMATIONS
MATHEMATICAL MANIFOLDS
MATHEMATICAL SPACE
PERTURBATION THEORY
POLYNOMIALS
QUANTUM FIELD THEORY
RENORMALIZATION
RIEMANN SPACE
SCHWINGER FUNCTIONAL EQUATIONS
SPACE
SPACE-TIME
TRANSFORMATIONS
WICK THEOREM
WIGHTMAN FIELD THEORY