标题： 半线上仿射Toda场论的若干方面 显示英文标题

标题： Aspects of affine Toda field theory on a half line

摘要： 关于实耦合仿射Toda场论在半线上可积性的问题进行了讨论。 通过检查低自旋守恒荷发现，保持可积性的边界条件受到强约束。 特别是，在迄今为止处理过的 $e_6^{(1)}$, $d_n^{(1)}$ 和 $a_n^{(1)}, \ n\ge 2$ 这些情况中，这些边界条件不能引入自由参数；事实上，除了选择简单的条件 $\partial_1\phi =0$ 外，唯一剩下的自由度在于符号的选择。 对于 $a_n^{(1)}$ 的特殊情况，指出经典边界束缚态谱可能与量子场论中的反射因子集有关。 报告了其他边界条件下的一些初步计算，表明经典的散射数据满足反射靴带方程的弱耦合极限。 （应 \lq “量子场论、可积模型及其超越”邀请报告，京都大学Yukawa理论物理研究所，1994年2月14日至18日。） 显示英文摘要

摘要： The question of the integrability of real-coupling affine toda field theory on a half line is discussed. It is shown, by examining low-spin conserved charges, that the boundary conditions preserving integrability are strongly constrained. In particular, among the cases treated so far, $e_6^{(1)}$, $d_n^{(1)}$ and $a_n^{(1)}, \ n\ge 2$, there can be no free parameters introduced by such boundary conditions; indeed the only remaining freedom (apart from choosing the simple condition $\partial_1\phi =0$), resides in a choice of signs. For a special case of the boundary condition, accessible only for $a_n^{(1)}$, it is pointed out that the classical boundary bound state spectrum may be related to a set of reflection factors in the quantum field theory. Some preliminary calculations are reported for other boundary conditions, demonstrating that the classical scattering data satisfies the weak coupling limit of the reflection bootstrap equation. (Invited talk at \lq Quantum field theory, integrable models and beyond', Yukawa Institute for Theoretical Physics, Kyoto University, 14-18 February 1994.)