Continuum limit, Galilean invariance, and solitons in the quantum equivalent of the noisy Burgers equation

Details Continuum limit, Galilean invariance, and solitons in the quantum equivalent of the noisy Burgers equation Continuum limit, Galilean invariance, and solitons in the quantum equivalent of the noisy Burgers equation

1995-03-06

arxiv.org/abs/cond-mat/9503028v1

Physics

Condensed Matter

12 pages, latex, no figures

Scientific paper

10.1103/PhysRevLett.75.1883

A continuum limit of the non-Hermitian spin-1/2 chain, conjectured recently to belong to the universality class of the noisy Burgers or, equivalently, Kardar-Parisi-Zhang equation, is obtained and analyzed. The Galilean invariance of the Burgers equation is explicitly realized in the operator algebra. In the quasi-classical limit we find nonlinear soliton excitations exhibiting the $\omega\propto k^z$ dispersion relation with dynamical exponent $z=3/2$.

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