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TMF, 1999, Volume 121, Number 1, Pages 25–39 (Mi tmf796)  

This article is cited in 2 scientific papers (total in 2 papers)

Quantum field theory with non-Fock asymptotic fields: the existence of the $S$-matrix

O. I. Zavialov, A. M. Malokostov

Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: We construct a family of relativistic-invariant generating functionals of the form
$$F(f^*,g)=\exp\{\gamma\int\frac{d\mathbf k}{\omega(\mathbf k)}f^*(\mathbf k)g(\mathbf k)\}$$
for the non-Fock representations of the CCR. We analyze the first order in the coupling constant of the model theory. In this theory, the asymptotic in field coincides with the field $\varphi(x)$ corresponding to such a functional. We prove that in the first order, the in and out fields are unitarily equivalent and the scattering matrix consequently exists. Moreover, the kinematics of the “non-Fock quantum field theory” is much richer than the standard kinematics: in this case, the $S$-matrix does not coincide with the chronologically ordered exponent of the interaction Lagrangian.

DOI: https://doi.org/10.4213/tmf796

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English version:
Theoretical and Mathematical Physics, 1999, 121:1, 1281–1293

Bibliographic databases:

Received: 25.01.1999

Citation: O. I. Zavialov, A. M. Malokostov, “Quantum field theory with non-Fock asymptotic fields: the existence of the $S$-matrix”, TMF, 121:1 (1999), 25–39; Theoret. and Math. Phys., 121:1 (1999), 1281–1293

Citation in format AMSBIB
\Bibitem{ZavMal99}
\by O.~I.~Zavialov, A.~M.~Malokostov
\paper Quantum field theory with non-Fock asymptotic fields: the existence of the $S$-matrix
\jour TMF
\yr 1999
\vol 121
\issue 1
\pages 25--39
\mathnet{http://mi.mathnet.ru/tmf796}
\crossref{https://doi.org/10.4213/tmf796}
\zmath{https://zbmath.org/?q=an:0985.81061}
\transl
\jour Theoret. and Math. Phys.
\yr 1999
\vol 121
\issue 1
\pages 1281--1293
\crossref{https://doi.org/10.1007/BF02557228}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000084350700003}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. O. I. Zavialov, A. M. Malokostov, “V. A. Fock and N. N. Bogoliubov and their role in establishing modern quantum field theory”, Theoret. and Math. Phys., 120:3 (1999), 1133–1144  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    2. O. I. Zavialov, A. M. Malokostov, “Wigner function for free relativistic particles”, Theoret. and Math. Phys., 119:1 (1999), 448–453  mathnet  crossref  crossref  zmath  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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