Differential Geometrical Methods in Theoretical Physics (Paperback, Softcover reprint of hardcover 1st ed. 1988)

After almost half a century of existence the main question about quantum field theory seems still to be: what does it really describe? and not yet: does it provide a good description of nature? J. A. Swieca Ever since quantum field theory has been applied to strong int- actions, physicists have tried to obtain a nonperturbative und- standing. Dispersion theoretic sum rules, the S-matrix bootstrap, the dual models (and their reformulation in string language) and s the conformal bootstrap of the 70 are prominent cornerstones on this thorny path. Furthermore instantons and topological solitons have shed some light on the nonperturbati ve vacuum structure respectively on the existence of nonperturbative "charge" s- tors. To these attempts an additional one was recently added', which is yet not easily describable in terms of one "catch phrase". Dif- rent from previous attempts, it is almost entirely based on new noncommutative algebraic structures: "exchange algebras" whose "structure constants" are braid matrices which generate a ho- morphism of the infini te (inducti ve limi t) Artin braid group Boo into a von Neumann algebra. Mathematically there is a close 2 relation to recent work of Jones * Its physical origin is the resul t of a subtle analysis of Ei nstein causality expressed in terms of local commutati vi ty of space-li ke separated fields. It is most clearly recognizable in conformal invariant quantum field theories.

General

Imprint:	Springer
Country of origin:	Netherlands
Series:	NATO Science Series C, 250
Release date:	December 2010
First published:	1988
Editors:	K. Bleuler • M. Werner
Dimensions:	235 x 155 x 25mm (L x W x T)
Format:	Paperback
Pages:	471
Edition:	Softcover reprint of hardcover 1st ed. 1988
ISBN-13:	978-90-481-8459-0
Categories:	Books > Science & Mathematics > Mathematics > Geometry > General Books > Science & Mathematics > Mathematics > Applied mathematics > General Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics) > General
LSN:	90-481-8459-2
Barcode:	9789048184590

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