One-Dimensional Case

  • Roman Jackiw
Part of the CRM Series in Mathematical Physics book series (CRM)


In this section, we shall discuss the nonrelativistic—relativistic models in one spatial dimension. Complete integrability has been established for both the Chaplygin gas [34] and the Born—Infeld theory [35]. We can now understand this to be a consequence of the complete integrability of the Nambu—Goto 1-brane (string) moving on a 2-space (plane), which is the antecedent of both models. [Therefore, it suffices to discuss only the Chaplygin gas since solutions of the Born—Infeld model can then be obtained by the mapping (4.13), (4.14).]


Sound Speed Nonrelativistic Limit Complete Integrability Grassmann Variable Bosonic Charge 
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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Roman Jackiw
    • 1
  1. 1.Center for Theoretical PhysicsMassachusetts Institute of TechnologyCambridgeUSA

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