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Title: 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 Z2. Here, we also provide the CFT description (including local quenches) and Yang–Yang thermodynamics of the model.

Authors:
ORCiD logo [1];  [2];  [3]
  1. Northwest Univ., Xi'an (China); Stony Brook Univ., Stony Brook, NY (United States)
  2. Stony Brook Univ., Stony Brook, NY (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
  3. Stony Brook Univ., Stony Brook, NY (United States)
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1580224
Report Number(s):
BNL-212472-2019-JAAM
Journal ID: ISSN 0217-751X
Grant/Contract Number:  
SC0012704; 11805152; FG-88ER40388; AC02-98CH10886; SC0017662
Resource Type:
Accepted Manuscript
Journal Name:
International Journal of Modern Physics A
Additional Journal Information:
Journal Volume: 34; Journal Issue: 31; Journal ID: ISSN 0217-751X
Publisher:
World Scientific
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; deep-inelastic scattering; quantum integrable models; CFT description; quench velocity; Yang–Yang thermodynamics; Bethe Ansatz

Citation Formats

Hao, Kun, Kharzeev, Dmitri, and Korepin, Vladimir. Bethe Ansatz for XXX chain with negative spin. United States: N. p., 2019. Web. doi:10.1142/S0217751X19501975.
Hao, Kun, Kharzeev, Dmitri, & Korepin, Vladimir. Bethe Ansatz for XXX chain with negative spin. United States. doi:10.1142/S0217751X19501975.
Hao, Kun, Kharzeev, Dmitri, and Korepin, Vladimir. Fri . "Bethe Ansatz for XXX chain with negative spin". United States. doi:10.1142/S0217751X19501975. https://www.osti.gov/servlets/purl/1580224.
@article{osti_1580224,
title = {Bethe Ansatz for XXX chain with negative spin},
author = {Hao, Kun and Kharzeev, Dmitri and Korepin, Vladimir},
abstractNote = {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 Z2. Here, we also provide the CFT description (including local quenches) and Yang–Yang thermodynamics of the model.},
doi = {10.1142/S0217751X19501975},
journal = {International Journal of Modern Physics A},
number = 31,
volume = 34,
place = {United States},
year = {2019},
month = {11}
}

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