论文标题
ST $ \ ddot U $ CKELBERG修饰的大规模ABELIAN 3型理论：约束分析，保守指控和BRST代数
St$\ddot u$ckelberg-Modified Massive Abelian 3-Form Theory: Constraint Analysis, Conserved Charges and BRST Algebra
论文作者
论文摘要
对于ST $ \ ddot U $ CKELBERG修饰的大规模ABELIAN 3型理论，在任何任意的时空d维数中，我们表明其经典的仪表对称转换是由一流的约束生成的。我们确定NueTher保守的电荷（对应于局部量规对称转换）与基础局部规格对称转换的发生器的标准形式相同（用一流的约束表示）。我们将这些经典的局部，连续和无限的量规对称转换促进其量子对应物becchi-rouet-stora-tyutin（BRST）和抗Brst对称转换，这些转化受耦合（但相当）的Lagrangian密度尊重的。我们通过利用Noether定理的理论潜力来得出保守的（反）BR的指控。但是，这些指控使我们无能为力。我们目前调查的某些亮点是（i）（i）（抗）nilpotent版本的推导（反）BR的（反）BR的指控，该版本是从标准的非尼尔诺伊特（Noether）保守的（反）BR的指控中获得的，（ii）在物理级别通过物理级别通过量子级别通过物理级别的运算符形式出现，通过物理级别通过物理级别的出现。 （反）BRST电荷的nilpotent版本，以及（iii）CF型限制，从偶联（反）BRST不变的Lagrangian密度的直接平等中限制，以及从Off-Shell Nilpotentions off-shell Nilpotentions的绝对抗强度的要求（anti-andiions）（ant-andiions）的绝对冲击。
For the St$\ddot u$ckelberg-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 our 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 w.r.t. the nilpotent versions of the (anti-)BRST charges, and (iii) the deduction of the CF-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 (anti-)BRST charges.
