EXACT SOLUTION OF A MASSLESS SCALAR FIELD WITH A RELEVANT BOUNDARY INTERACTION

被引：138
作者：
FENDLEY, P
SALEUR, H
WARNER, NP
机构：
[1] Department of Physics, University of Southern California, Los Angeles
来源：
NUCLEAR PHYSICS B | 1994年 / 430卷 / 03期
关键词：
D O I：
10.1016/0550-3213(94)90160-0
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 solve exactly the ''boundary sine-Gordon'' system of a massless scalar field phi with a cos(1/2 beta phi) potential at a boundary. This model has appeared in several contexts, including tunneling between quantum-Hall edge states and in dissipative quantum mechanics. For beta(2) < 8 pi, this system exhibits a boundary renormalization-group flow from Neumann to Dirichlet boundary conditions. By taking the massless limit of the sine-Gordon model with boundary potential, we find the exact S-matrix for particles scattering off the boundary. Using the thermodynamic Bethe ansatz, we calculate the boundary entropy along the entire flow. We show how these particles correspond to wave packets in the classical Klein-Gordon equation, thus giving a more precise explanation of scattering in a massless theory.
引用
收藏
页码：577 / 596
页数：20
相关论文
共 43 条
[1]  
Ablowitz M. J., 1981, SOLITONS INVERSE SCA
[2]   UNIVERSAL NONINTEGER GROUND-STATE DEGENERACY IN CRITICAL QUANTUM-SYSTEMS [J].
AFFLECK, I ;
LUDWIG, AWW .
PHYSICAL REVIEW LETTERS, 1991, 67 (02) :161-164
[3]   UNIVERSAL TERM IN THE FREE-ENERGY AT A CRITICAL-POINT AND THE CONFORMAL ANOMALY [J].
AFFLECK, I .
PHYSICAL REVIEW LETTERS, 1986, 56 (07) :746-748
[4]   SOLUTION OF THE KONDO PROBLEM [J].
ANDREI, N ;
FURUYA, K ;
LOWENSTEIN, JH .
REVIEWS OF MODERN PHYSICS, 1983, 55 (02) :331-402
[5]   CONFORMAL-INVARIANCE, THE CENTRAL CHARGE, AND UNIVERSAL FINITE-SIZE AMPLITUDES AT CRITICALITY [J].
BLOTE, HWJ ;
CARDY, JL ;
NIGHTINGALE, MP .
PHYSICAL REVIEW LETTERS, 1986, 56 (07) :742-745
[6]   CONFORMAL-INVARIANCE AND SURFACE CRITICAL-BEHAVIOR [J].
CARDY, JL .
NUCLEAR PHYSICS B, 1984, 240 (04) :514-532
[7]  
DASMAHAPATRA S, HEPTH9303013 PREPR
[8]  
DEVEGA HJ, LPTHE9329 PREPR
[9]   MAGNETIC-IMPURITIES IN HALF-INTEGER-SPIN HEISENBERG ANTIFERROMAGNETIC CHAINS [J].
EGGERT, S ;
AFFLECK, I .
PHYSICAL REVIEW B, 1992, 46 (17) :10866-10883
[10]   WHAT IS THE SPIN OF A SPIN-WAVE [J].
FADDEEV, LD ;
TAKHTAJAN, LA .
PHYSICS LETTERS A, 1981, 85 (6-7) :375-377
12345