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Folds, bosonization and non-triviality of the classical limit of 2D string theory

Authors
Journal
Physics Letters B
0370-2693
Publisher
Elsevier
Publication Date
Volume
365
Identifiers
DOI: 10.1016/0370-2693(95)01307-5
Keywords
  • Particles And Fields
Disciplines
  • Physics

Abstract

Abstract In the 1-dimensional matrix model one identifies the tachyon field in the asymptotic region with a nonlocal transfom of the density of fermions. But there is a problem in relating the classical tachyon field with the surface profile of the Fermi fluid if a fold forms in the Fermi surface. Besides the collective field additional variables w j ( x) are required to desrcibe folds. In the quantum theory we show that the w j are the quantum dispersions of the collective field. These dispersions become O(1) rather than O( l ̷ ) precisely after fold formation, thus giving additional “classical” quantities and leading to a rather nontrivial classical limit. A coherent pulse reflecting from the potential wall turns into high energy incoherent quanta (if a fold forms), the frequency amplification being of the order of the square root of the number of quanta in the incident wave.

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