Titlebook: Conformal Invariance and Critical Phenomena; Malte Henkel Textbook 1999 Springer-Verlag Berlin Heidelberg 1999 Application of integrable s

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Finite-Size Scaling,fore following the field-theoretic developments further, we shall describe important applications to the study of finite-size effects. Besides being of interest in their own right, these results provide highly efficient computational tools for the practical calculations of central charges and scaling dimensions.

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Representation Theory of the Virasoro Algebra,ols needed are the representation theory of the Virasoro algebra and the operator product algebra. These will be presented in the next two chapters. The first application of this will be to the Ising model in Chap. 6.

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The Vicinity of the Critical Point,ular free energy density and the correlation lengths .for the case of . values of the finite-size scaling variables . = .. and . = ... We now ask the converse question on their behaviour for . becoming large.

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Strongly Anisotropic Scaling,ic. It is of interest, however, to investigate to what extend ideas and techniques developed for conformally invariant systems can be carried over to this more general situation. At present, this field is still in its infancy and there remains plenty of scope for further investigations.

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Malte HenkelNowhere else is there such a complete account of the finite-size scaling predictions and numerical texts of the theory (J. Cardy in Physics Today)..Includes supplementary material:

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Theoretical and Mathematical Physicshttp://image.papertrans.cn/c/image/235418.jpg

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Kathleen S. Irby,Jeanette P. Brownor dilatations, of the length scales by a constant factor ., for example for a two-point function . where we took . = . = 0. From now on, this will always be assumed to be the case and we shall omit these variables altogether. For a field-theoretic interpretation of this, it appears, at least heuris