|
Teoreticheskaya i Matematicheskaya Fizika, 1987, Volume 71, Number 1, Pages 31–39
(Mi tmf4854)
|
|
|
|
Integral representations of the Schwinger functions for wick polynomials in the free field
È. P. Osipov
Abstract:
We obtain integral representations of Schwinger functions for Wick polynomials in
the free field, in other words, we obtain Euclidean realizations of Wightman quantum
fields given by Wick polynomials in the free field. Using these Euclidean realizations,
a new non-perturbative mathematically rigorous approach to constructing quantum
field theory with the polynomial interaction in a finite volume of $d$-dimensional spacetime
$(d\geq 2)$ and without ultraviolet cut-offs is proposed. In particular, for imaginary
values of the coupling constant the generating functional of Schwinger functions is
constructed. The theory constructed by this method takes explicitly into account the
presence of ultraviolet divergences and its expansion in powers of the coupling constant
gives the renormalized series.
Received: 05.12.1985
Citation:
È. P. Osipov, “Integral representations of the Schwinger functions for wick polynomials in the free field”, TMF, 71:1 (1987), 31–39; Theoret. and Math. Phys., 71:1 (1987), 359–365
Linking options:
https://www.mathnet.ru/eng/tmf4854 https://www.mathnet.ru/eng/tmf/v71/i1/p31
|
Statistics & downloads: |
Abstract page: | 216 | Full-text PDF : | 87 | References: | 27 | First page: | 1 |
|