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首页> 外文期刊>Annales Henri Poincare >Towards an Operator-Algebraic Construction of Integrable Global Gauge Theories
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Towards an Operator-Algebraic Construction of Integrable Global Gauge Theories

机译：走向可积分全球规范理论的算子代数构造

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摘要

The recent construction of integrable quantum field theories on two-dimensional Minkowski space by operator-algebraic methods is extended to models with a richer particle spectrum, including finitely many massive particle species transforming under a global gauge group. Starting from a two-particle S-matrix satisfying the usual requirements (unitarity, Yang-Baxter equation, Poincaré and gauge invariance, crossing symmetry, . . .), a pair of relatively wedge-local quantum fields is constructed which determines the field net of the model. Although the verification of the modular nuclearity condition as a criterion for the existence of local fields is not carried out in this paper, arguments are presented that suggest it holds in typical examples such as non-linear O(N) σ-models. It is also shown that for all models complying with this condition, the presented construction solves the inverse scattering problem by recovering the S-matrix from the model via Haag-Ruelle scattering theory, and a proof of asymptotic completeness is given.
机译：最近通过算子-代数方法在二维Minkowski空间上构建可积分量子场论的方法已扩展到具有更丰富的粒子光谱的模型，包括在全局规范组下有限数量的大量粒子种类的转换。从满足通常要求（均一性，Yang-Baxter方程，庞加莱和轨距不变性，交叉对称性...）的两个粒子S矩阵开始，构建了一对相对楔形的局部量子场，它们确定了场网模型的尽管本文中未进行模块化核条件作为局部电场存在准则的验证，但仍提出了一些论据，表明它在非线性O（N）σ模型等典型示例中具有一定的地位。还表明，对于所有符合此条件的模型，提出的构造通过使用Haag-Ruelle散射理论从模型中恢复S矩阵来解决逆散射问题，并给出了渐近完备性的证明。

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