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Author Kaulfuss, U.
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword PHYSICS OF ELEMENTARY PARTICLES AND FIELDS ♦ -FIELD THEORY ♦ RENORMALIZATION ♦ COUPLING CONSTANTS ♦ EIGENSTATES ♦ INTEGRAL EQUATIONS ♦ LAGRANGIAN FUNCTION ♦ MESONS ♦ PERTURBATION THEORY ♦ THREE-DIMENSIONAL CALCULATIONS ♦ ULTRAVIOLET DIVERGENCES ♦ BOSONS ♦ ELEMENTARY PARTICLES ♦ EQUATIONS ♦ FIELD THEORIES ♦ FUNCTIONS ♦ HADRONS ♦ QUANTUM FIELD THEORY ♦ High Energy Physics- Field Theory
Abstract We construct eigenstates of the (phi/sup 4/)/sub 3/ quantum field theory in the framework of the coupled cluster method (CCM). Therefore the principle of coherence is stressed leading to a description of these states by an infinite set of correlation amplitudes. In the standard form of the CCM the amplitudes obey a hierarchy of coupled nonlinear integral equations containing some poorly defined terms because of ultraviolet divergences. We remove these divergences by a systematic transformation to an equivalent set of amplitudes. No expansion in the coupling constant is therefore required to make the hierarchy well defined. It is possible to find truncation schemes for the transformed amplitudes which are compatible with the requirement of renormalizability. We conclude that the CCM is helpful to analyze the structure of the vacuum and to make precise statements about the mass spectrum of superrenormalizable quantum field theories.
Educational Use Research
Learning Resource Type Article
Publisher Date 1985-09-15
Publisher Department Institut fuer Theoretische Physik II, Ruhr-Universitaet Bochum, 4630 Bochum, West Germany
Publisher Place United States
Journal Phys. Rev. D
Volume Number 32
Issue Number 6
Organization Institut fuer Theoretische Physik II, Ruhr-Universitaet Bochum, 4630 Bochum, West Germany


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