EXACT SOLUTION OF A BOUNDARY CONFORMAL FIELD-THEORY

被引:173
作者
CALLAN, CG [1 ]
KLEBANOV, IR [1 ]
LUDWIG, AWW [1 ]
MALDACENA, JM [1 ]
机构
[1] PRINCETON UNIV,DEPT PHYS,PRINCETON,NJ 08544
基金
美国国家科学基金会;
关键词
D O I
10.1016/0550-3213(94)90440-5
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 study the conformal field theory of a free massless scalar field living on the half-line with interactions introduced via a periodic potential at the boundary. An SU(2) current algebra underlies this system and the interacting boundary state is given by a global SU(2) rotation of the left-moving fields in the zero-potential (Neumann) boundary state. As the potential strength varies from zero to infinity, the boundary state interpolates between the Neumann and the Dirichlet values. The full S-matrix for scattering from the boundary, with arbitrary particle production, is explicitly computed. To maintain unitarity, it is necessary to attribute a hidden discrete ''soliton'' degree of freedom to the boundary. The same unitarity puzzle occurs in the Kondo problem, and we anticipate a similar solution.
引用
收藏
页码:417 / 448
页数:32
相关论文
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