TY - JOUR

T1 - Boundary Yang-Baxter equation in the RSOS/SOS representation

AU - Ahn, C.

AU - Koo, W. M.

PY - 1996/6/3

Y1 - 1996/6/3

N2 - We construct and solve the boundary Yang-Baxter equation in the RSOS/SOS representation. We find two classes of trigonometric solutions; diagonal and nondiagonal. As a lattice model, these two classes of solutions correspond to RSOS/SOS models with fixed and free boundary spins, respectively. Applied to (1+1 )-dimensional quantum field theory, these solutions give the boundary scattering amplitudes of the particles. For the diagonal solution, we propose an algebraic Bethe ansatz method to diagonalize the SOS-type transfer matrix with boundary and obtain the Bethe ansatz equations.

AB - We construct and solve the boundary Yang-Baxter equation in the RSOS/SOS representation. We find two classes of trigonometric solutions; diagonal and nondiagonal. As a lattice model, these two classes of solutions correspond to RSOS/SOS models with fixed and free boundary spins, respectively. Applied to (1+1 )-dimensional quantum field theory, these solutions give the boundary scattering amplitudes of the particles. For the diagonal solution, we propose an algebraic Bethe ansatz method to diagonalize the SOS-type transfer matrix with boundary and obtain the Bethe ansatz equations.

UR - http://www.scopus.com/inward/record.url?scp=0030567620&partnerID=8YFLogxK

U2 - 10.1016/0550-3213(96)00160-5

DO - 10.1016/0550-3213(96)00160-5

M3 - Article

AN - SCOPUS:0030567620

SN - 0550-3213

VL - 468

SP - 461

EP - 486

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 3

ER -