CONTINUUM-LIMIT, GALILEAN INVARIANCE, AND SOLITONS IN THE QUANTUM EQUIVALENT OF THE NOISY BURGERS-EQUATION

Authors
FOGEDBY HC ERIKSSON AB MIKHEEV LV
Citation
Hc. Fogedby et al., CONTINUUM-LIMIT, GALILEAN INVARIANCE, AND SOLITONS IN THE QUANTUM EQUIVALENT OF THE NOISY BURGERS-EQUATION, Physical review letters, 75(10), 1995, pp. 1883-1886
Citations number
22
Categorie Soggetti
Physics
Journal title
Physical review letters → ACNP
ISSN journal
00319007
Volume
75
Issue
10
Year of publication
1995
Pages
1883 - 1886
Database
ISI
SICI code
0031-9007(1995)75:10<1883:CGIASI>2.0.ZU;2-C
Abstract
A continuum limit of the non-Hermitian spin-1/2 chain, conjectured rec ently to belong to the universality class of the noisy Burgers or, equ ivalently, Kardar-Parisi-Zhang equation, is obtained and analyzed. The Galilean invariance of the Burgers equation is explicitly realized in the operator algebra. In the quasiclassical limit we find nonlinear s oliton excitations exhibiting the omega proportional to k(z) dispersio n relation with dynamical exponent z = 3/2.