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Geometrical and Algebraic Aspects of Nonlinear Field Theory - 1st Edition - ISBN: 9780444873590, 9780444598714

Geometrical and Algebraic Aspects of Nonlinear Field Theory

1st Edition

Editors: S. de Filippo M. Marinaro G. Marmo G. Vilasi
eBook ISBN: 9780444598714
Imprint: North Holland
Published Date: 1st July 1989
Page Count: 258
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Table of Contents

Introduction. Classical topology and quantum phases: quantum mechanics (A.P. Balachandran). An approach to the quantum Hall effect (G. Bandelloni and D. Tommasini). The Schrödinger and the Dirac equation - linear, nonlinear and integrodifferential (A.O. Barut). Bases of meromorphic differentials on genus g Riemann surfaces and applications (L. Bonora, M. Matone and M. Rinaldi). Unification of BRST, Parisi-Sourlas and space-time symmetries (R. Casalbuoni). From superparticles to superstrings (ordering of operators in quantum theory) (V. de Alfaro et al). Nonlinear sigma models in 4 dimensions as toy models for quantum gravity (B. de Witt). Topological obstructions to pin structures (C. DeWitt-Morette). Global symmetries in BRST formalism (M. Henneaux). Generalized BRST quantization (R. Marnelius). Canonical theories from the group manifold (J.E. Nelson and T. Regge). Lorentz invariance in tangent space (J.E. Nelson and T. Regge). BRST cohomology and anomalies (R. Schmid). Perturbative string theory in BRST invariant formalism (P. Di Vecchia et al). Classical topology and quantum phases: quantum geons (R.D. Sorkin). Topology and quantum internal symmetries in nonlinear field theories (E.C.G. Sudarshan). Anomalies and superspace constraints in Green-Schwarz heterotic string (M. Tonin).


Experts in general relativity, particle physics and mathematical physics discuss aspects of their recent research. The main emphasis is on the geometrical and algebraic methods used in solving a wide range of problems.


No. of pages:
© North Holland 1989
1st July 1989
North Holland
eBook ISBN:

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About the Editors

S. de Filippo

M. Marinaro

G. Marmo

G. Vilasi