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Renormalization group and infinite algebraic structure in D-dimensional conformal field theory. / Pis'mak, Yu M.

In: Journal of Physics A: Mathematical and General, Vol. 39, No. 25, S25, 23.06.2006, p. 8157-8171.

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Pis'mak, Yu M. / Renormalization group and infinite algebraic structure in D-dimensional conformal field theory. In: Journal of Physics A: Mathematical and General. 2006 ; Vol. 39, No. 25. pp. 8157-8171.

BibTeX

@article{117f93ce72154373abed53c21fc07aa1,
title = "Renormalization group and infinite algebraic structure in D-dimensional conformal field theory",
abstract = "We consider scalar field theory in the D-dimensional space with nontrivial metric and local action functional of the most general form. For this model it is possible to construct a generalization of the renormalization procedure and the RG-equations. In the fixed point the diffeomorphism and Weyl transformations generate an infinite algebraic structure of D-dimensional conformal field theory models. The Wilson expansion and crossing symmetry enable us to obtain sum rules for dimensions of composite operators and Wilson coefficients.",
author = "Pis'mak, {Yu M.}",
year = "2006",
month = jun,
day = "23",
doi = "10.1088/0305-4470/39/25/S25",
language = "English",
volume = "39",
pages = "8157--8171",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing Ltd.",
number = "25",

}

RIS

TY - JOUR

T1 - Renormalization group and infinite algebraic structure in D-dimensional conformal field theory

AU - Pis'mak, Yu M.

PY - 2006/6/23

Y1 - 2006/6/23

N2 - We consider scalar field theory in the D-dimensional space with nontrivial metric and local action functional of the most general form. For this model it is possible to construct a generalization of the renormalization procedure and the RG-equations. In the fixed point the diffeomorphism and Weyl transformations generate an infinite algebraic structure of D-dimensional conformal field theory models. The Wilson expansion and crossing symmetry enable us to obtain sum rules for dimensions of composite operators and Wilson coefficients.

AB - We consider scalar field theory in the D-dimensional space with nontrivial metric and local action functional of the most general form. For this model it is possible to construct a generalization of the renormalization procedure and the RG-equations. In the fixed point the diffeomorphism and Weyl transformations generate an infinite algebraic structure of D-dimensional conformal field theory models. The Wilson expansion and crossing symmetry enable us to obtain sum rules for dimensions of composite operators and Wilson coefficients.

UR - http://www.scopus.com/inward/record.url?scp=33745098143&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/39/25/S25

DO - 10.1088/0305-4470/39/25/S25

M3 - Article

AN - SCOPUS:33745098143

VL - 39

SP - 8157

EP - 8171

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 25

M1 - S25

ER -

ID: 41386586