从一个∞角度看森的形式主义

IF 2.5 3区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

Nuclear Physics B Pub Date : 2024-09-30 DOI:10.1016/j.nuclphysb.2024.116691

Atakan Hilmi Fırat

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引用次数: 0

摘要

森的形式主义是一种通过使用虚假自由场来消除对独立于运动方程的动力场的约束的机制。在本论文中，我们提出了基于森形式主义的循环同调关联代数。它的新颖之处在于在一个结合了动力场和虚假场的扩展代数上构建了交映形式和循环 A∞ 映射。这种代数表达使得使用森公式的理论的规不变性显而易见。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A∞ perspective to Sen's formalism

Sen's formalism is a mechanism for eliminating constraints on the dynamical fields that are imposed independently from equations of motion by employing spurious free fields. In this note a cyclic homotopy associative algebra underlying Sen's formalism is developed. The novelty lies in the construction of a symplectic form and cyclic

A_{\infty}

maps on an extended algebra that combines the dynamical and spurious fields. This algebraic presentation makes the gauge invariance of theories using Sen's formulation manifest.

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来源期刊

Nuclear Physics B 物理-物理：粒子与场物理

CiteScore

5.50

自引率

7.10%

发文量

302

审稿时长

1 months

期刊介绍： Nuclear Physics B focuses on the domain of high energy physics, quantum field theory, statistical systems, and mathematical physics, and includes four main sections: high energy physics - phenomenology, high energy physics - theory, high energy physics - experiment, and quantum field theory, statistical systems, and mathematical physics. The emphasis is on original research papers (Frontiers Articles or Full Length Articles), but Review Articles are also welcome.