Titlebook: Conformal Field Theory; Philippe Francesco,Pierre Mathieu,David Sénéchal Textbook 1997 Springer-Verlag New York, Inc. 1997 High-Energy Phy

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Colonoscopy

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Rashad Cassim,Michiel A. Keyzerquired for those readers unfamiliar with the subject. The emphasis is put on the concepts underlying the hypothesis of conformal invariance in critical systems. Some parallels are to be drawn with the previous chapter, since quantum field theory and statistical mechanics walk hand in hand in the mod

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https://doi.org/10.1007/978-94-009-1614-2n Sect. 4.1, with their generators and commutation relations. The conformal group in dimension . is identified with the noncompact group .(. + 1,1). In Sect. 4.2 we study the action of a conformal transformation on fields, at the classical level. The notion of a quasi-primary field is defined. We re

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Debate

Transition in the Baltic Statesfunctions known as the Ward identities. These Ward identities were most easily expressed in the form of an operator product expansion of the energy-momentum tensor with local fields. It was implicit, however, that operator product expansions were occurring within correlation functions and no use was

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Transition in the Baltic Statesormal theories called .. These theories are characterized by a Hilbert space made of a . number of representations of the Virasoro algebra (Verma modules); in other words, the number of conformal families is finite. Such theories describe discrete statistical models (e.g., Ising, Potts, and so on) a

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Neil Hood,Jan-Erik Vahlne,Robert Kilisundary conditions. This representation bears the name of . or .. This terminology comes from the resemblance of the free boson correla . with the electric potential energy between two unit charges in two dimensions. In Sect. 9.1, we calculate the correlation function of vertex operators and indicate

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Neil Hood,Jan-Erik Vahlne,Robert Kilisphic and antiholomorphic (or left and right) sectors of a conformal theory completely decouple and may be studied separately. In fact, the two sectors may constitute distinct theories on their own since they do not interfere: Correlation functions factorize into holomorphic and antiholomorphic facto

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https://doi.org/10.1007/978-4-431-55178-2 is equivalent to a sphere. In this chapter we shall study the consequences of conformal invariance on models defined on portions of the plane delimited by one or more boundaries, with various types of boundary conditions. We shall proceed mainly by applying local conformal mappings from the infinit