arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1012.1903hep-thgr-qcmath-phmath.MP
收藏

拉格朗日水平上的母体公式

Parent formulation at the Lagrangian level

Maxim Grigoriev

摘要:

最近提出的一阶父形式主义的运动方程的水平是专门的拉格朗日系统的情况下。结果表明,对于同形不变理论的父代配方采取的形式AKSZ型西格玛模型。所提出的配方也可以被看作是一个拉格朗日版本的BV-BRST扩展的Vasiliev展开的方法。我们还讨论了其可能的解释作为一个多维推广的哈密顿BFV-BRST形式主义。一般建设的例子说明(参数化)力学,相对论粒子,杨-米尔斯理论和重力。

英文摘要:

The recently proposed first-order parent formalism at the level of equations of motion is specialized to the case of Lagrangian systems. It is shown that for diffeomorphism-invariant theories the parent formulation takes the form of an AKSZ-type sigma model. The proposed formulation can be also seen as a Lagrangian version of the BV-BRST extension of the Vasiliev unfolded approach. We also discuss its possible interpretation as a multidimensional generalization of the Hamiltonian BFV--BRST formalism. The general construction is illustrated by examples of (parametrized) mechanics, relativistic particle, Yang--Mills theory, and gravity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑