# Conformal Field Theory and Critical Phenomena in Two Dimensional Systems ebook

## by A.B. Zamolodchikov

A conformal field theory (CFT) is a quantum field theory that is invariant under conformal transformations

A conformal field theory (CFT) is a quantum field theory that is invariant under conformal transformations. In two dimensions, there is an algebra of local conformal transformations, and conformal field theories can sometimes be exactly solved or classified. Conformal field theory has important applications to condensed matter physics, statistical mechanics, quantum statistical mechanics, and string theory.

A two-dimensional conformal field theory is a quantum field theory on a Euclidean two-dimensional space, that is invariant under local conformal transformations. In contrast to other types of conformal field theories, two-dimensional conformal field theories have symmetry algebras. In some cases, this allows them to be solved exactly, using the conformal bootstrap method.

where ~" are the coordinates, a 1, . .D. In the quantum field theory the scale symmetry (. ) takes place provided the stress-energy tensor ~s traceless.

The critical phenomena of optical bistability in two dissipative systems, . the chemical reaction system and the Josephson junction, both driven externally by coherent light field, were examined by Landau (mean field) theory of phase transition in equilibrium thermodynamics.

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Belavin, A. Polyakov, A. M. and Zamolodchikov, A. Infinite conformal symmetry in two-dimensional quantum field theory, Nuclear Phys. 2. Nahm, . Conformal field theory: a bridge over troubled waters, In: A. N. Mitra (e., Quantum Field Theory - A Twentieth Century Profile, Hindustani Book Agency and Indian Nat. Sci. Acad.

in Two Dimensional Systems (9783718648634) by .

com: Conformal Field Theory and Critical Phenomena in Two Dimensional Systems (9783718648634) by .

conformal theory describing a critical system in the scaling regime. A classical example of an exactly solved two–dimensional critical system is the Ising model. Zamolodchikov and A. Zamolodchikov, Ann. Phys. The hamiltonian of the model reads.