TY - JOUR
T1 - Integrable generalized Thirring model
AU - Bardakçi, Korkut
AU - Bernardo, Luis M.
AU - Sochen, Nir
N1 - Funding Information:
J Supported by JNICT, Lisbon, Portugal. 2 E-mail: sochen @asterix.lbi.gov 3 This work was supported in part by the Director, Office of Energy Research, Office of High Energy and Nuclear Physics, Division of High Energy Physics of the U.S. Department of Energy under Contract DE-AC03-76SF00098 and in part by the National Science Foundation under grant PHY-90-21139.
PY - 1997/3/3
Y1 - 1997/3/3
N2 - We derive the conditions that the coupling constants of the generalized Thirring model have to satisfy in order for the model to admit an infinite number of commuting classical conserved quantities. Our treatment uses the bosonized version of the model, with periodic boundary conditions imposed on the space coordinate. Some explicit examples that satisfy these conditions are discussed. We show that, with a different set of boundary conditions, there exist additional conserved quantities, and we find the Poisson bracket algebra satisfied by them.
AB - We derive the conditions that the coupling constants of the generalized Thirring model have to satisfy in order for the model to admit an infinite number of commuting classical conserved quantities. Our treatment uses the bosonized version of the model, with periodic boundary conditions imposed on the space coordinate. Some explicit examples that satisfy these conditions are discussed. We show that, with a different set of boundary conditions, there exist additional conserved quantities, and we find the Poisson bracket algebra satisfied by them.
UR - http://www.scopus.com/inward/record.url?scp=0031550728&partnerID=8YFLogxK
U2 - 10.1016/S0550-3213(96)00715-8
DO - 10.1016/S0550-3213(96)00715-8
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:0031550728
SN - 0550-3213
VL - 487
SP - 513
EP - 525
JO - Nuclear Physics B
JF - Nuclear Physics B
IS - 1-2
ER -