SPECTRUM OF THE TRANSFER-MATRIX FOR THE U-Q(B-N)-INVARIANT A(2N)((2)) OPEN SPIN CHAIN

被引:20
作者
ARTZ, S [1 ]
MEZINCESCU, L [1 ]
NEPOMECHIE, RI [1 ]
机构
[1] UNIV MIAMI, DEPT PHYS, CORAL GABLES, FL 33124 USA
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 1995年 / 10卷 / 13期
关键词
D O I
10.1142/S0217751X95000942
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
We propose an expression for the eigenvalues of the transfer matrix for the U-q(B-n)-invariant open quantum spin chain associated with the fundamental representation of A(2n)((2)). By assumption, the Bethe ansatz equations are ''doubled'' with respect to those of the corresponding closed chain with periodic boundary conditions. We verify that the transfer matrix eigenvalues have the correct analyticity properties and asymptotic behavior. We also briefly discuss the structure of the eigenstates of the transfer matrix.
引用
收藏
页码:1937 / 1952
页数:16
相关论文
共 37 条
[1]   SURFACE EXPONENTS OF THE QUANTUM XXZ, ASHKIN-TELLER AND POTTS MODELS [J].
ALCARAZ, FC ;
BARBER, MN ;
BATCHELOR, MT ;
BAXTER, RJ ;
QUISPEL, GRW .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (18) :6397-6409
[2]  
[Anonymous], 1982, LECT NOTES PHYS
[3]   QUANTUM CHAINS WITH U(Q)(SL(2)) SYMMETRY AND UNRESTRICTED REPRESENTATIONS [J].
ARNAUDON, D ;
RITTENBERG, V .
PHYSICS LETTERS B, 1993, 306 (1-2) :86-90
[4]   TEMPERLEY-LIEB LATTICE MODELS ARISING FROM QUANTUM GROUPS [J].
BATCHELOR, MT ;
KUNIBA, A .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (11) :2599-2614
[5]  
BATCHELOR MT, 1990, PROG THEOR PHYS SUPP, P39, DOI 10.1143/PTPS.102.39
[6]  
CUERNO R, 1993, JOURNAL OF GEOMETRY AND PHYSICS, VOL 11, NOS 1-4, 1993, P453, DOI 10.1016/0393-0440(93)90071-L
[7]   BETHE ANSATZ AND QUANTUM GROUPS - THE LIGHT-CONE LATTICE APPROACH .1. 6 VERTEX AND SOS MODELS [J].
DESTRI, C ;
DEVEGA, HJ .
NUCLEAR PHYSICS B, 1992, 374 (03) :692-719
[8]   BETHE ANSATZ AND QUANTUM GROUPS - THE LIGHT-CONE APPROACH .2. FROM RSOS(P+1) MODELS TO P-RESTRICTED SINE-GORDON FIELD-THEORIES [J].
DESTRI, C ;
DEVEGA, HJ .
NUCLEAR PHYSICS B, 1992, 385 (1-2) :361-391
[9]   EXACT BETHE-ANSATZ SOLUTION FOR A(N-1) CHAINS WITH NON-SUQ(N) INVARIANT OPEN BOUNDARY-CONDITIONS [J].
DEVEGA, HJ ;
GONZALEZRUIZ, A .
MODERN PHYSICS LETTERS A, 1994, 9 (24) :2207-2216
[10]   THE HIGHEST WEIGHT PROPERTY FOR THE SU(Q)(N) INVARIANT SPIN CHAINS [J].
DEVEGA, HJ ;
GONZALEZRUIZ, A .
PHYSICS LETTERS B, 1994, 332 (1-2) :123-128