文档介绍：RECENT DEVELOPMENTS IN CONFORMAL
INVARIANT QUANTUM FIELD THEORY
. FRADKIN
. Lebedev PhysicalInstitute of the USSR Academy of Sciences, Moscow, USSR
and
. PALCHIK
Institute ofAutomation and Electrometry ofthe USSR Academy of Sciences, Novosibirsk, USSR
NORTH-HOLLAND PANY - AMSTERDAM
PHYSICS REPORTS (Review Section of Physics Letters) 44, No. 5 (1978) 249—349. North-Holland pany
RECENT DEVELOPMENTS IN CONFORMAL INVARIANT QUANTUM FIELD THEORY
. FRADKIN
. Lebedev Physical Institute of the USSR Academy of Sciences, Moscow, USSR
and
. PALCHIK
Institute of Automation and Electrometri of the USSR Academy ofSciences, Norosihirsk, USSR
Received 12 October 1977
Abstract:
A review of the recent results concerning the kinematics of conformal fields, the analysis of dynamical equations and dynamical
derivation of the operator product expansion is given.
The classification and transformational properties of fields which are transformed according to the representations ofthe universal
covering group of the conformal group have been considered. A derivation of the partial wave expansion of Wightman functions is
given. The analytical continuation to the Euclidean domain of coordinates is discussed. As shown, in the Euclidean space the partial
wave expansion can be applied either to one-particle irreducible vertices or to the Green functions, depending on the dimensions of
the fields.
The structure of Green functions, which contain a conserved current and the energy-momentum tensor, has been studied. Their
partial wave expansion has been obtained. A solution of the Ward identity has been found. Special cases are discussed.
The program of the construction of exact solution of dynamicalequations is discussed. It is shown, that integral dynamical equations
for vertices (or Green’s functions) can be diagonalized by means of the partial wave expansion. The general solution ofthese equations
is obtained. The equations