Integrable models with unstable particles
Integrable models with unstable particles
复制标题
具有不稳定粒子的可积模型
DOI：
10.1007/3-7643-7341-5_2
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
A. Fring
中科院分区：
文献类型：
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作者：
O. Castro;A. Fring
本文综述了1 + 1时空维中可积量子场论的一些最新结果，这些可积量子场论的谱中含有不稳定粒子。回顾第一个分析散射理论的主要特点与可积模型，我们随后提出了一个新的自助原则，允许建设的粒子光谱涉及不稳定以及稳定的粒子。我们描述了一般的李代数结构的基础理论与不稳定的粒子，并制定了一个解耦规则，它预测的重整化群流依赖于共振参数的相对顺序。我们将这些想法扩展到具有无限谱的不稳定粒子的理论。本文给出了椭圆sine-Gordon模型中孤子-反孤子扇区中散射振幅的新的表达式，它是用q-变形伽玛函数的无穷乘积表示的。当放松通常的耦合常数的限制，该模型包含额外的束缚态，承认呼吸解释。在这种情况下，我们计算所有扇区的完全S矩阵。我们进行各种减少的模型，其中之一导致一种新的理论，即椭圆形版本的minimalSO（n）-仿射户田场理论。
We review some recent results concerning integrable quantum field theories in 1 + 1 space-time dimensions which contain unstable particles in their spectrum. Recalling first the main features of analytic scattering theories associated to integrable models, we subsequently propose a new bootstrap principle which allows for the construction of particle spectra involving unstable as well as stable particles. We describe the general Lie algebraic structure which underlies theories with unstable particles and formulate a decoupling rule, which predicts the renormalization group flow in dependence of the relative ordering of the resonance parameters. We extend these ideas to theories with an infinite spectrum of unstable particles. We provide new expressions for the scattering amplitudes in the soliton-antisoliton sector of the elliptic sine-Gordon model in terms of infinite products ofq-deformed gamma functions. When relaxing the usual restriction on the coupling constants, the model contains additional bound states which admit an interpretation as breathers. For that situation we compute the completeS-matrix of all sectors. We carry out various reductions of the model, one of them leading to a new type of theory, namely an elliptic version of the minimalSO(n)-affine Toda field theory.
DOI：
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发表时间：
2005
期刊：
影响因子：
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作者：
T. Kobayashi;T. Oshima
通讯作者：
T. Oshima