把量子场论的隐藏性质放在最前面：楔形局域化和一种新的构造性壳层设置
Placing hidden properties of quantum field theory into the forefront: wedge localization and a new constructive on-shell setting
摘要：
关于“模定域”的最新进展表明，由于S-矩阵作为“楔定域的相对模不变量”的作用，人们得到了一种新的非微扰的构造性定域量子物理设置，它只利用了内禀（与量子化无关）性质。主要的一点是推导出的粒子交叉属性从KMS身份的楔形本地化的子代数，其中的连接的传入/传出的粒子与相互作用的领域是通过“仿真”的自由楔形本地化领域内的楔形本地化的相互作用代数。从而证实了对偶模型中亚纯函数的对偶性与粒子物理无关，而是共形QFT中整体算子乘积展开的梅林变换的结果。楔形定位设置与Zamolodchikov-Faddeev代数结构的连接被指出，并提出了一个扩展到不可积模型的Anterior。模块化本地化也导致扩大的重整化微扰设置，允许耦合的弦本地化的更高的自旋领域内的功率计数限制。这保证了避免使用BRST Krein空间的希尔伯特空间公式。.
英文摘要：
Recent progress about "modular localization" reveals that, as a result of the S-Matrix in its role of a "relative modular invariant of wedge-localization, one obtains a new non-perturbative constructive setting of local quantum physicis which only uses intrinsic (independent of quantization) properties. The main point is a derivation of the particle crossing property from the KMS identity of wedge-localized subalgebras in which the connection of incoming/outgoing particles with interacting fields is achieved by "emulation" of free wedge-localized fields within the wedge-localized interacting algebra. The suspicion that the duality of the meromorphic functions, which appear in the dual model, are not related with particle physics, but are rather the result of Mellin-transforms of global operator-product expansions in conformal QFT is thus confirmed. The connection of the wedge-localization setting with the Zamolodchikov-Faddeev algebraic structure is pointed out and an Ansatz for an extension to non-integrable models is presented. Modular localization leads also to a widening of the renormalized perturbation setting by allowing couplings of string-localized higher spin fields which stay within the power-counting limit. This holds the promise of a Hilbert space formulation which avoids the use of BRST Krein-spaces. .
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