Research output: Contribution to journal › Article › peer-review
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.Research output: Contribution to journal › Article › peer-review
}
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