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Conformal Quantum Field Theory in D-dimensions (Hardcover, 1996 ed.)
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Conformal Quantum Field Theory in D-dimensions (Hardcover, 1996 ed.)
Series: Mathematics and Its Applications, 376
Expected to ship within 10 - 15 working days
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This volume reviews recent developments in conformal quantum field
theory in D-dimensions, and focuses on two main aims. Firstly, the
promising trend is followed toward constructing an exact solution
for a certain class of models. Work on the conformal Ward
identities in a D-dimensional space in the late '70s suggests a
parallel with the null-vectors which determine the minimal models
in the two-dimensional field theory. Recent research has also
indicated the possible existence of an infinite parameter algebra
analogous to the Virasoro algebra in spaces of higher dimensions
D>=3. Each of these models contains parameters similar to the
central charge of the two-dimensional theory, due to special fields
which occur in the commutator of the components of the
energy-momentum tensor. As a first step, a special formalism is
suggested which allows finding an exact solution of these models
for any space dimension. Then it is shown that in each model closed
differential equations can be obtained for higher correlators, as
well as the algebraic equations for scale dimensions of fields, and
dimensionless parameters similar to the central charge. Secondly,
this work aims to give a survey of some special aspects of
conformal quantum field theory in D-dimensional space. Included are
the survey of conformal methods of approximate calculation of
critical indices in a three-dimensional space, an analysis and
solution of a renormalised system of Schwinger-Dyson equations, a
derivation of partial wave expansions, among other topics. Special
attention is given to the development of the apparatus of quantum
conform theory of gauge fields. Audience: This book will be of
interest to graduate students andresearchers whose work involves
quantum field theory.
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