A Cohomological Perspective on Algebraic Quantum Field Theory
A Cohomological Perspective on Algebraic Quantum Field Theory
复制标题
代数量子场论的上同调视角
DOI：
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发表时间：
2016
影响因子：
2.4
通讯作者：
E. Hawkins
中科院分区：
文献类型：
--
作者：
E. Hawkins
代数量子场论是从Hochschild上同调双复形的角度考虑的。这是一个研究变形和对称性的框架。变形是一种可能的方法来构建相互作用的QFT模型的基本挑战。对称性是理解QFT模型的结构和性质的主要工具。这种观点导致代数量子场论框架的推广，以及更一般的对称性定义。这意味着某些模型可能具有以前未被识别或利用的对称性。对于一阶，QFT模型的变形由Hochschild上同调类描述。例如，变形可以对应于将相互作用项添加到拉格朗日量。这样的相互作用的上同调类计算在这里。然而，结果是更一般的，并不需要从拉格朗日构造的未变形的模型。这种计算导致了微扰代数量子场论的更具体的版本的建设。
Algebraic quantum field theory is considered from the perspective of the Hochschild cohomology bicomplex. This is a framework for studying deformations and symmetries. Deformation is a possible approach to the fundamental challenge of constructing interacting QFT models. Symmetry is the primary tool for understanding the structure and properties of a QFT model. This perspective leads to a generalization of the algebraic quantum field theory framework, as well as a more general definition of symmetry. This means that some models may have symmetries that were not previously recognized or exploited. To first order, a deformation of a QFT model is described by a Hochschild cohomology class. A deformation could, for example, correspond to adding an interaction term to a Lagrangian. The cohomology class for such an interaction is computed here. However, the result is more general and does not require the undeformed model to be constructed from a Lagrangian. This computation leads to a more concrete version of the construction of perturbative algebraic quantum field theory.
相互作用量子场论中的明星产品
影响因子：
1.2
作者：
Hawkins E
通讯作者：
Hawkins E