Abstract:
For the example of the φ3(6) model, the structure of the evolution kernels V(x,y) and P(z) is investigated in the two-loop approximation. The properties of the
solution of the evolution equation for b0≠0 are analyzed. In the case b0=0
(which corresponds to the absence of charge renormalization in the one-loop
approximation), the explicit form of the multiplicatively renormalizable composite
operators is found. It is shown that these operators are not identical to conformal
tensors, though they have a similar structure.
Citation:
S. V. Mikhailov, A. V. Radyushkin, “Evolution of the pion wave function in the scalar φ3(6) model: Two-loop calculation”, TMF, 65:1 (1985), 44–59; Theoret. and Math. Phys., 65:1 (1985), 999–1009
\Bibitem{MikRad85}
\by S.~V.~Mikhailov, A.~V.~Radyushkin
\paper Evolution of the pion wave function in the scalar $\varphi^3_{(6)}$ model: Two-loop calculation
\jour TMF
\yr 1985
\vol 65
\issue 1
\pages 44--59
\mathnet{http://mi.mathnet.ru/tmf5053}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=822212}
\transl
\jour Theoret. and Math. Phys.
\yr 1985
\vol 65
\issue 1
\pages 999--1009
\crossref{https://doi.org/10.1007/BF01028633}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1985C731200005}
Linking options:
https://www.mathnet.ru/eng/tmf5053
https://www.mathnet.ru/eng/tmf/v65/i1/p44
This publication is cited in the following 6 articles:
Skvortsov E.D., “On (Un)Broken Higher-Spin Symmetry in Vector Models”, Higher Spin Gauge Theories, eds. Brink L., Henneaux M., Vasiliev M., World Scientific Publ Co Pte Ltd, 2017, 103–137
Sezgin E., Skvortsov E.D., Zhu Ya., “Chern–Simons Matter Theories and Higher Spin Gravity”, J. High Energy Phys., 2017, no. 7, 133
A. V. Belitsky, J. Henn, C. Jarczak, D. Müller, E. Sokatchev, “Anomalous dimensions of leading twist conformal operators”, Phys. Rev. D, 77:4 (2008)
S. Groote, J.G. Körner, A.A. Pivovarov, “On the evaluation of a certain class of Feynman diagrams in x-space: Sunrise-type topologies at any loop order”, Annals of Physics, 322:10 (2007), 2374
A.I Onishchenko, V.N Velizhanin, “Nonforward anomalous dimensions of Wilson operators inN=4 Supersymmetric Yang-Mills theory”, J. High Energy Phys., 2004:02 (2004), 036
S.V. Mikhailov, A.V. Radyushkin, “Structure of two-loop evolution kernels and evolution of the pion wave function in ϕ(6)3 and QCD”, Nuclear Physics B, 273:2 (1986), 297
Citation in format AMSBIB
Contact us: