关于展开场论的Lagrange结构的一点注记
A remark on the Lagrange structure of the unfolded field theory
摘要:
任何局部场论都可以用所谓的展开形式等价地重新表述。一般展开方程是非拉格朗日的,即使原来的理论是拉格朗日的。以标量场理论为基本例子,应用拉格朗日锚的概念对展开动力学进行了一致的路径积分量子化。它表明,d'Alembert方程的正则拉格朗日锚的展开表示不可避免地涉及无限数量的时空导数。
英文摘要:
Any local field theory can be equivalently reformulated in the so-called unfolded form. General unfolded equations are non-Lagrangian even though the original theory is Lagrangian. Using the theory of a scalar field as a basic example, the concept of Lagrange anchor is applied to perform a consistent path-integral quantization of unfolded dynamics. It is shown that the unfolded representation for the canonical Lagrange anchor of the d'Alembert equation inevitably involves an infinite number of space-time derivatives.
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