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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Differential Geometrical Methods in Theoretical Physics

Differential Geometrical Methods in Theoretical Physics

Bleuler, K.
Werner, M.

Paperback

Series: NATO Science Series C:, Book 250

GeometryPhysics

ISBN10: 9048184592
ISBN13: 9789048184590
Publisher: Springer Nature
Published: Dec 25 2010
Pages: 471
Weight: 1.50
Height: 0.99 Width: 6.14 Depth: 9.21
Language: English
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.

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