Abstract:
A representation of the Weyl group is constructed in the renormalized space [6] for the
Yukawa model in the limit of an infinite volume. It is shown that the resulting non-Fok representation
is a locally Fok representation.
Citation:
I. Ya. Aref'eva, P. P. Kulish, “Representations of canonical commutation relations in the limit of an infinite volume”, TMF, 17:1 (1973), 3–18; Theoret. and Math. Phys., 17:1 (1973), 945–955
\Bibitem{AreKul73}
\by I.~Ya.~Aref'eva, P.~P.~Kulish
\paper Representations of canonical commutation relations in the limit of an infinite volume
\jour TMF
\yr 1973
\vol 17
\issue 1
\pages 3--18
\mathnet{http://mi.mathnet.ru/tmf3920}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=468719}
\zmath{https://zbmath.org/?q=an:0292.46033}
\transl
\jour Theoret. and Math. Phys.
\yr 1973
\vol 17
\issue 1
\pages 945--955
\crossref{https://doi.org/10.1007/BF01035576}
Linking options:
https://www.mathnet.ru/eng/tmf3920
https://www.mathnet.ru/eng/tmf/v17/i1/p3
This publication is cited in the following 3 articles:
Kitanine N., Nepomechie R.I., Reshetikhin N., “Quantum Integrability and Quantum Groups: a Special Issue in Memory of Petr P Kulish”, J. Phys. A-Math. Theor., 51:11 (2018), 110201
L. A. Takhtajan, A. Yu. Alekseev, I. Ya. Aref'eva, M. A. Semenov-Tian-Shansky, E. K. Sklyanin, F. A. Smirnov, S. L. Shatashvili, “Scientific heritage of L. D. Faddeev. Survey of papers”, Russian Math. Surveys, 72:6 (2017), 977–1081
“Osnovnye nauchnye trudy Petra Petrovicha Kulisha”, Voprosy kvantovoi teorii polya i statisticheskoi fiziki. 23, Zap. nauchn. sem. POMI, 433, POMI, SPb., 2015, 8–19