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Home > Mathematics and Science Textbooks > Physics > Particle and high-energy physics > Conformal Quantum Field Theory in D Dimensions: Lecture Notes Volume(Lecture Notes in Physics)
Conformal Quantum Field Theory in D Dimensions: Lecture Notes Volume(Lecture Notes in Physics)

Conformal Quantum Field Theory in D Dimensions: Lecture Notes Volume(Lecture Notes in Physics)


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About the Book

This book reviews recent developments of the conformally invariant field theory in D dimensions. Exactly solvable models, conformal gauge theories, the methods of approximate calculations of the critical indices in the phase transition theory and spontaneous breaking of conformal symmetry are considered. The main focus is on solvable models in D dimensions. Operator products, renormalized Schwinger-Dyson equations, and conformal Ward identities are analyzed for this purpose. A class of solvable models is found and the method for solving them is formulated. The scalar field with the scale dimension D-2 appears in each of these models as a consequence of self-consistency. This scalar field in D dimensions is an operator analogue to the central charge in two dimension space.

Table of Contents:
Conformal field theories, review; Schwinger-Dyson equations in the conformal invariant theory; partial wave expansions and diagonalization of Schwinger-Dyson systems; critical indices calculation in phase transitions theory; breaking of conformal symmetry; conformal QED and indecomposable representations of the conformal group; conformal gravity and indecomposable representations of the conformal group; conformal Yang-Mills theory; conformal Ward identities and partial-wave expansions of energy-momentum tensor Green functions; conformal Ward indentities and operator expansions of products T mu upsilon phi and j mu phi; anomalous Ward identities and analogie of the central charge in D dimensions; 2D-models; further generalizations.


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Product Details
  • ISBN-13: 9789810210977
  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publisher Imprint: World Scientific Publishing Co Pte Ltd
  • Height: 220 mm
  • Sub Title: Lecture Notes Volume
  • ISBN-10: 9810210973
  • Publisher Date: /07/1994
  • Binding: Hardback
  • Series Title: Lecture Notes in Physics


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Conformal Quantum Field Theory in D Dimensions: Lecture Notes Volume(Lecture Notes in Physics)
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