Bethe Ansatz for XXX chain with negative spin

Abstract

XXX spin chain with spin $s=-1$ appears as an effective theory of Quantum Chromodynamics. It is equivalent to lattice nonlinear Schroediger's equation: interacting chain of harmonic oscillators [bosonic]. In thermodynamic limit each energy level is a scattering state of several elementary excitations [lipatons]. Lipaton is a fermion: it can be represented as a topological excitation [soliton] of original [bosonic] degrees of freedom, described by the group $Z_2$ . We also provide the CFT description (including local quenches) and Yang-Yang thermodynamics of the model.

21 pages, 2 figures

References in corpus (1)

• "Light-cone" dynamics after quantum quenches in spin chains

Cited by in corpus (1)

• Analytic continuation of Bethe energies and application to the thermodynamic limit of the $SL(2,\mathbb{C})$ non-compact spin chains