6533b823fe1ef96bd127f5e2

RESEARCH PRODUCT

Thermodynamic limit of the two-spinon form factors for the zero field XXX chain

Nikolai KitanineGiridhar Kulkarni

subject

High Energy Physics - Theory[PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph]FOS: Physical sciencesGeneral Physics and AstronomyHeisenberg modelalgebradeterminant01 natural sciencesBethe ansatzChain (algebraic topology)0103 physical sciencesthermodynamicalAlgebraic number010306 general physicsMathematical PhysicsCondensed Matter - Statistical MechanicsMathematical physicsPhysicsform factorNonlinear Sciences - Exactly Solvable and Integrable SystemsStatistical Mechanics (cond-mat.stat-mech)010308 nuclear & particles physicsHeisenberg model[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th]Operator (physics)Form factor (quantum field theory)Mathematical Physics (math-ph)Bethe ansatzoperator: vertexlcsh:QC1-999Spinon[PHYS.PHYS.PHYS-GEN-PH]Physics [physics]/Physics [physics]/General Physics [physics.gen-ph]Nonlinear Sciences::Exactly Solvable and Integrable SystemsHigh Energy Physics - Theory (hep-th)Thermodynamic limitCondensed Matter::Strongly Correlated ElectronsExactly Solvable and Integrable Systems (nlin.SI)lcsh:Physicsspin: chain

description

In this paper we propose a method based on the algebraic Bethe ansatz leading to explicit results for the form factors of quantum spin chains in the thermodynamic limit. Starting from the determinant representations we retrieve in particular the formula for the two-spinon form factors for the isotropic XXX Heisenberg chain obtained initially in the framework of the $q$-vertex operator approach.

10.21468/scipostphys.6.6.076https://hal.archives-ouvertes.fr/hal-02088705