论场论Gerstenhaber结构的几何
On The Geometry of Field Theoretic Gerstenhaber Structures
摘要：
具有一阶拉格朗日的场论模型可以用协变哈密顿形式主义来表述。在这篇文章中，几何构造的Gerstenhaber结构，编码的运动方程解释为任意纤维束。特别强调了建筑的自然性。此外，对称性的治疗进行了解释。最后，通过对类空超曲面上的多辛形式的拉回和积分，得到了正则场论2-形式。
英文摘要：
Field theoretical models with first order Lagrangean can be formulated in a covariant Hamiltonian formalism. In this article, the geometrical construction of the Gerstenhaber structure that encodes the equations of motion is explained for arbitrary fibre bundles. Special emphasis has been put on naturality of the constructions. Further, the treatment of symmetries is explained. Finally, the canonical field theoretical 2-form is obtained by pull back and integration of the polysymplectic form over space like hypersurfaces.
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。
