DERIVING BOUNDARY S-MATRICES

被引:86
作者
FENDLEY, P
SALEUR, H
机构
[1] UNIV SO CALIF, DEPT PHYS, LOS ANGELES, CA 90089 USA
[2] UNIV SO CALIF, DEPT MATH, LOS ANGELES, CA 90089 USA
关键词
D O I
10.1016/0550-3213(94)90369-7
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We show how to derive exact boundary S matrices for integrable quantum field theories in 1 + 1 dimensions using lattice regularization. We do this calculation explicitly for the sine-Gordon model with fixed boundary conditions using the Bethe ansatz for an XXZ-type spin chain in a boundary magnetic field. Our results agree with recent conjectures of Ghoshal and Zamolodchikov, and indicate that the only solutions to the Bethe equations which contribute to the scaling limit are the standard strings.
引用
收藏
页码:681 / 693
页数:13
相关论文
共 30 条
[1]   UNIVERSAL NONINTEGER GROUND-STATE DEGENERACY IN CRITICAL QUANTUM-SYSTEMS [J].
AFFLECK, I ;
LUDWIG, AWW .
PHYSICAL REVIEW LETTERS, 1991, 67 (02) :161-164
[2]  
AFFLECK I, UBCTP9325 PREPR
[3]   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
[4]   SOLUTION OF THE KONDO PROBLEM [J].
ANDREI, N ;
FURUYA, K ;
LOWENSTEIN, JH .
REVIEWS OF MODERN PHYSICS, 1983, 55 (02) :331-402
[5]   ANALYSIS OF THE BETHE ANSATZ EQUATIONS OF THE XXZ MODEL [J].
BABELON, O ;
DEVEGA, HJ ;
VIALLET, CM .
NUCLEAR PHYSICS B, 1983, 220 (01) :13-34
[6]   BOUNDARY-CONDITIONS, FUSION RULES AND THE VERLINDE FORMULA [J].
CARDY, JL .
NUCLEAR PHYSICS B, 1989, 324 (03) :581-596
[7]   FACTORIZING PARTICLES ON A HALF-LINE AND ROOT SYSTEMS [J].
CHEREDNIK, IV .
THEORETICAL AND MATHEMATICAL PHYSICS, 1984, 61 (01) :977-983
[8]   ANALYSIS OF THE BETHE-ANSATZ EQUATIONS OF THE CHIRAL-INVARIANT GROSS-NEVEU MODEL [J].
DESTRI, C ;
LOWENSTEIN, JH .
NUCLEAR PHYSICS B, 1982, 205 (03) :369-385
[9]   LIGHT-CONE LATTICES AND THE EXACT SOLUTION OF CHIRAL FERMION AND SIGMA-MODELS [J].
DESTRI, C ;
DEVEGA, HJ .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (09) :1329-1353
[10]   EXACT SOLUTION OF THE SU(Q)(N)-INVARIANT QUANTUM SPIN CHAINS [J].
DEVEGA, HJ ;
GONZALEZRUIZ, A .
NUCLEAR PHYSICS B, 1994, 417 (03) :553-578