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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 1999, Volume 226, Pages 193–211 (Mi tm539)  
This article is cited in 10 scientific papers (total in 10 papers)

Dynamical Poincaré Symmetry Realized by Field-Dependent Diffeomorphisms

R. Jackiwa, A. P. Polychronakosb

a Massachusetts Institute of Technology
b Uppsala University
Full-text PDF (1681 kB) Citations (10)
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Abstract: We present several Galileo invariant Lagrangians, which are invariant against Poincaré transformations defined in one higher (spatial) dimension. Thus these models, which arise in a variety of physical situations, provide a representation for a dynamical (hidden) Poincaré symmetry. The action of this symmetry transformation on the dynamical variables is nonlinear, and in one case involves a peculiar field-dependent diffeomorphism. Some of our models are completely integrable, and we exhibit explicit solutions.
Received in April 1999
Bibliographic databases:
UDC: 530.1
Language: English
Citation: R. Jackiw, A. P. Polychronakos, “Dynamical Poincaré Symmetry Realized by Field-Dependent Diffeomorphisms”, Mathematical physics. Problems of quantum field theory, Collection of papers dedicated to the 65th anniversary of academician Lyudvig Dmitrievich Faddeev, Trudy Mat. Inst. Steklova, 226, Nauka, MAIK «Nauka/Inteperiodika», M., 1999, 193–211; Proc. Steklov Inst. Math., 226 (1999), 178–196
Citation in format AMSBIB
\Bibitem{JacPol99}
\by R.~Jackiw, A.~P.~Polychronakos
\paper Dynamical Poincar\'e Symmetry Realized by Field-Dependent Diffeomorphisms
\inbook Mathematical physics. Problems of quantum field theory
\bookinfo Collection of papers dedicated to the 65th anniversary of academician Lyudvig Dmitrievich Faddeev
\serial Trudy Mat. Inst. Steklova
\yr 1999
\vol 226
\pages 193--211
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm539}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1782563}
\zmath{https://zbmath.org/?q=an:0982.70021}
\transl
\jour Proc. Steklov Inst. Math.
\yr 1999
\vol 226
\pages 178--196
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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