Abstract:
An operator product expansion in two-dimensional massless quantum electrodynamics
is obtained. A basis of the expansion is obtained in which all the nonanalytic dependences
on the coupling constant are contained in the operators. In this basis, there is a correspondence
in the leading logarithmic expansion between the exact operator expansion and
the standard Wilson expansion. Complete agreement of these expansions requires
establishment of the exact connection between the ultraviolet subtraction point for the
operators and the infrared subtraction point for the coefficient functions.
Citation:
A. A. Pivovarov, A. N. Tavkhelidze, V. F. Tokarev, “Operator product expansion in two-dimensional quantum electrodynamics”, TMF, 60:2 (1984), 199–205; Theoret. and Math. Phys., 60:2 (1984), 765–769
This publication is cited in the following 3 articles:
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
S. Groote, J. G. Körner, A. A. Pivovarov, “Spectral moments of two-point correlators in perturbation theory and beyond”, Phys. Rev. D, 65:3 (2002)
N. V. Krasnikov, A. A. Pivovarov, “Running coupling at low momenta, renormalization schemes, and renormalons”, Phys. Atom. Nuclei, 64:8 (2001), 1500