幂零对称性与守恒荷：4D阿贝尔2-形式规范理论的BRST量子化版本
Nilpotent Symmetries and Conserved Charges: BRST-Quantized Version of the 4D Abelian 2-Form Gauge Theory
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中文总结 AI 辅助
该研究聚焦4D阿贝尔2-形式规范理论的BRST量子化，推导并修正Noether守恒荷，证明其线性无关性，并导出Curci-Ferrari型限制，揭示对称变换与生成元的深层数学联系。
中文摘要 AI 辅助
我们聚焦于四维（3+1）自由阿贝尔2-形式规范理论的Becchi-Rouet-Stora-Tyutin（BRST）量子化版本，并（i）讨论其无穷小、连续且离壳幂零的（反）BRST和（反）余BRST对称变换，以及（ii）推导相应的Noether守恒（反）BRST和（反）余BRST荷。我们证明这些荷在上述幂零对称变换下并非不变。我们系统地推导了上述Noether荷的修正版本，这些修正版本在上述对称变换下被发现是不变的。因此，上述两种荷彼此反对易，这证明了它们的线性无关性。我们还从Noether守恒荷的代数结构中推导出（反）BRST和（反）余BRST不变的Curci-Ferrari（CF）型限制。在上述所有证明和推导中，我们考虑了无穷小且连续的对称变换与其作为Noether守恒荷的生成元之间存在的深层数学关系。
英文摘要
We focus on the Becchi-Rouet-Stora-Tyutin (BRST) quantized version of the four (3 + 1)-dimensional (4D) free Abelian 2-form gauge theory and (i) discuss its infinitesimal, continuous and off-shell nilpotent (anti-)BRST and (anti-)co-BRST symmetry transformations, and (ii) derive the corresponding Noether conserved (anti-)BRST and (anti-)co-BRST charges. We demonstrate that these charges are not invariant under the above nilpotent symmetry transformations. We systematically derive the modified versions of the above Noether charges which are found to be invariant under the above symmetry transformations. As a consequence, both types of the above charges anticommute with each-other which proves their linear independence. We also derive the (anti-)BRST and (anti-)co-BRST invariant Curci-Ferrari (CF) type restrictions from the algebraic structures of the Noether conserved charges. In all the above proofs and derivations, we take into account the deep mathematical relationship that exists between the infinitesimal and continuous symmetry transformations and their generators as the Noether conserved charges.
发表机构
- Institute of Science, Banaras Hindu University（瓦拉纳西印度教大学科学研究所）
- DST Centre for Interdisciplinary Mathematical Sciences, Institute of Science, Banaras Hindu University（瓦拉纳西印度教大学科学研究所 DST 跨学科数学科学中心）
机构由 AI 辅助整理，请以论文原文为准。
