Differential Geometrical Methods in Theoretical Physics (1988)Hardcover - 1988, 31 October 1988

Differential Geometrical Methods in Theoretical Physics (1988)
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Part of Series
NATO Science Series C:
Part of Series
NATO Asi Series. Series C, Mathematical and Physical Science
Part of Series
Fundamental Theories of Physics
Part of Series
NATO Science Series: U
Part of Series
NATO Science Series U
Part of Series
NATO Science Series C: (Closed)
Part of Series
NATO Science Series C (Closed):
Print Length
471 pages
Language
English
Publisher
Springer
Date Published
31 Oct 1988
ISBN-10
9027728208
ISBN-13
9789027728203

Description

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.

Product Details

Book Edition:
1988
Book Format:
Hardcover
Country of Origin:
US
Date Published:
31 October 1988
Dimensions:
23.39 x 15.6 x 2.69 cm
ISBN-10:
9027728208
ISBN-13:
9789027728203
Language:
English
Location:
Dordrecht
Pages:
471
Publisher:
Springer
Weight:
866.36 gm

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