迂回与路径：BRST复合体与世界线形式主义
Detours and Paths: BRST Complexes and Worldline Formalism
摘要：
我们构造绕道复合物从BRST量子化的世界线的非同态不变系统。这产生了一种方法，有效地提取物理量子场论的粒子模型与第一类约束代数。作为一个例子，我们展示了如何通过在弯曲空间中测量N=2的超对称量子力学来获得Maxwell迂回复形。然后，我们集中在第一类代数属于一类最近推出的正交辛量子力学模型，并给出生成函数的绕道复杂描述更高的自旋的任意对称类型。第一个量子化的方法有利于量子计算，我们采用它来计算与第二个量子化，场论行动的物理自由度的数量。
英文摘要：
We construct detour complexes from the BRST quantization of worldline diffeomorphism invariant systems. This yields a method to efficiently extract physical quantum field theories from particle models with first class constraint algebras. As an example, we show how to obtain the Maxwell detour complex by gauging N=2 supersymmetric quantum mechanics in curved space. Then we concentrate on first class algebras belonging to a class of recently introduced orthosymplectic quantum mechanical models and give generating functions for detour complexes describing higher spins of arbitrary symmetry types. The first quantized approach facilitates quantum calculations and we employ it to compute the number of physical degrees of freedom associated to the second quantized, field theoretical actions.
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