CLIFFORD ALGEBRAS IN FINITE QUANTUM FIELD THEORIES I.
نویسندگان
چکیده
منابع مشابه
Finite Quantum Field Theories: Clifford Algebras for Yukawa Couplings?
By imposing on the most general renormalizable quantum field theory the requirement of the absence of ultraviolet-divergent renormalizations of the physical parameters (masses and coupling constants) of the theory, finite quantum field theories in four space-time dimensions may be constructed. Famous “prototypes” of these form certain well-known classes of supersymmetric finite quantum field th...
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Finite quantum field theories may be constructed from the most general renormalizable quantum field theory by forbidding, order by order in the perturbative loop expansion, all ultraviolet-divergent renormalizations of the physical parameters of the theory. The relevant finiteness conditions resulting from this requirement relate all dimensionless couplings in the theory. At first sight, Yukawa...
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An arbitrary renormalizable quantum field theory is considered as finite if its dimensionless couplings conspire to yield at every order of its perturbative expansion no ultraviolet-divergent renormalizations of the physical parameters of the theory. The “finiteness conditions” resulting from these requirements form highly complicated, non-linear systems of relations. A promising type of soluti...
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Quantum multiparameter deformation of real Clifford algebras is proposed. The corresponding irreducible representations are found.
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This article reviews some recent progress in our understanding of the structure of Rational Conformal Field Theories, based on ideas that originate for a large part in the work of A. Ocneanu. The consistency conditions that generalize modular invariance for a given RCFT in the presence of various types of boundary conditions –open, twisted– are encoded in a system of integer multiplicities that...
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ژورنال
عنوان ژورنال: International Journal of Modern Physics A
سال: 1998
ISSN: 0217-751X,1793-656X
DOI: 10.1142/s0217751x98000901