经 Stückelberg 修正的大质量阿贝尔 3 形理论:约束分析、守恒电荷和 BRST 代数

IF 1.2 3区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL
A. K. Rao, R. P. Malik
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引用次数: 0

摘要

对于任意D维时空中的施特克尔伯格修正大质量阿贝尔3-形式理论,我们证明其经典的轨距对称变换是由第一等约束生成的。我们证明,诺特守恒电荷(对应于局部规对称变换)与底层局部规对称变换生成器的标准形式相同(用一级约束表示)。我们将这些经典的局部、连续和无穷小的量规对称变换推广到它们的量子对应物贝奇-鲁厄-斯托拉-秋廷(BRST)和反 BRST 对称变换,这些对称变换受到耦合(但等效)拉格朗日密度的尊重。我们利用诺特定理的理论潜力推导出守恒(反)BRST 电荷。然而,这些电荷被证明是非零能的。我们目前研究的一些亮点是:(i) 从标准非零能诺特守恒(反)BRST 电荷推导出(反)BRST 电荷的壳外零能版本;(ii) 通过物理性标准,在量子层面出现了与(反)BRST 电荷的零能版本有关的一流约束的算子形式、以及 (iii) 从耦合(反)BRST 不变拉格朗日密度的直接相等性以及守恒(反)BRST 电荷的壳外零电位版本的绝对反共性要求推导出库尔奇-费拉里型限制。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Stückelberg-modified massive Abelian 3-form theory: Constraint analysis, conserved charges and BRST algebra
For the Stückelberg-modified massive Abelian 3-form theory in any arbitrary D-dimension of spacetime, we show that its classical gauge symmetry transformations are generated by the first-class constraints. We establish that the Noether conserved charge (corresponding to the local gauge symmetry transformations) is same as the standard form of the generator for the underlying local gauge symmetry transformations (expressed in terms of the first-class constraints). We promote these classical local, continuous and infinitesimal gauge symmetry transformations to their quantum counterparts Becchi–Rouet–Stora–Tyutin (BRST) and anti-BRST symmetry transformations which are respected by the coupled (but equivalent) Lagrangian densities. We derive the conserved (anti-)BRST charges by exploiting the theoretical potential of Noether’s theorem. However, these charges turn out to be non-nilpotent. Some of the highlights of our present investigation are (i) the derivation of the off-shell nilpotent versions of the (anti-)BRST charges from the standard non-nilpotent Noether conserved (anti-)BRST charges, (ii) the appearance of the operator forms of the first-class constraints at the quantum level through the physicality criteria with respect to the nilpotent versions of the (anti-)BRST charges, and (iii) the deduction of the Curci–Ferrari-type restrictions from the straightforward equality of the coupled (anti-)BRST invariant Lagrangian densities as well as from the requirement of the absolute anticommutativity of the off-shell nilpotent versions of the conserved (anti-)BRST charges.
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来源期刊
Journal of Mathematical Physics
Journal of Mathematical Physics 物理-物理:数学物理
CiteScore
2.20
自引率
15.40%
发文量
396
审稿时长
4.3 months
期刊介绍: Since 1960, the Journal of Mathematical Physics (JMP) has published some of the best papers from outstanding mathematicians and physicists. JMP was the first journal in the field of mathematical physics and publishes research that connects the application of mathematics to problems in physics, as well as illustrates the development of mathematical methods for such applications and for the formulation of physical theories. The Journal of Mathematical Physics (JMP) features content in all areas of mathematical physics. Specifically, the articles focus on areas of research that illustrate the application of mathematics to problems in physics, the development of mathematical methods for such applications, and for the formulation of physical theories. The mathematics featured in the articles are written so that theoretical physicists can understand them. JMP also publishes review articles on mathematical subjects relevant to physics as well as special issues that combine manuscripts on a topic of current interest to the mathematical physics community. JMP welcomes original research of the highest quality in all active areas of mathematical physics, including the following: Partial Differential Equations Representation Theory and Algebraic Methods Many Body and Condensed Matter Physics Quantum Mechanics - General and Nonrelativistic Quantum Information and Computation Relativistic Quantum Mechanics, Quantum Field Theory, Quantum Gravity, and String Theory General Relativity and Gravitation Dynamical Systems Classical Mechanics and Classical Fields Fluids Statistical Physics Methods of Mathematical Physics.
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