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Hamiltonian Flows, SU(∞), SO(∞), USp(∞), and Strings

  • Cosmas Zachos
Part of the NATO ASI Series book series (NSSB, volume 245)

Abstract

Based on the infinite-dimensional algebras we have introduced, SU(∞) is identified with general hamiltonian flows in 2-d phase-space, SO(∞) with flows generated by x-p-odd hamiltonians, and USp(∞) with those of hamiltonians of special symmetry. Gauge theories for SU(∞), SO(∞), and USp(∞) are thus formulated in terms of surface (sheet) coordinates for toroidal phase-space. Spacetime-independent configurations of their gauge fields directly yield the quadratic Schild-Eguchi string action.

Keywords

Gauge Theory Poisson Bracket Structure Constant Gauge Field Lagrangian Density 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • Cosmas Zachos
    • 1
  1. 1.High Energy Physics DivisionArgonne National LaboratoryArgonneUSA

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