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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 1999, Volume 226, Pages 11–26 (Mi tm525)  
On the Background Method and the Renormalization of the Dirichlet Functional in the AdS/CFT

I. Ya. Aref'eva

Steklov Mathematical Institute, Russian Academy of Sciences
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Abstract: The Dirichlet background field method for the case of the fields belonging to a noncompact symmetric space is discussed. A specific feature of the Dirichlet boundary problem for the corresponding Laplace equation is the specification of the initial data on the characteristic manifold whose dimension can be less then the dimension of the geometrical boundary. The renormalization of the Dirichlet functional and breakdown of conformal invariance are discussed.
Received in April 1999
Bibliographic databases:
Document Type: Article
UDC: 530.1
Language: Russian
Citation: I. Ya. Aref'eva, “On the Background Method and the Renormalization of the Dirichlet Functional in the AdS/CFT”, 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, 11–26; Proc. Steklov Inst. Math., 226 (1999), 5–19
Citation in format AMSBIB
\Bibitem{Are99}
\by I.~Ya.~Aref'eva
\paper On the Background Method and the Renormalization of the Dirichlet Functional in the AdS/CFT
\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 11--26
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm525}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1782549}
\zmath{https://zbmath.org/?q=an:0981.81034}
\transl
\jour Proc. Steklov Inst. Math.
\yr 1999
\vol 226
\pages 5--19
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