Gauge-invariant descriptions for a free bosonic scalar field of continuous spin in a [Formula: see text]-dimensional Minkowski space–time using a metric-like formulation are constructed on the basis of a constrained BRST–BFV approach we propose. The resulting BRST–BFV equations of motion for a scalar field augmented by ghost operators contain different sets of auxiliary fields, depending on the manner of a partial gauge-fixing and a resolution of some of the equations of motion for a BRST-unfolded first-stage reducible gauge theory. To achieve an equivalence of the resulting BRST-unfolded constrained equations of motion with the initial irreducible Poincaré group conditions of a Bargmann–Wigner type, it is demonstrated that one should replace the field in these conditions by a class of gauge-equivalent configurations. Triplet-like, doublet-like constrained descriptions, as well as an unconstrained quartet-like non-Lagrangian and Lagrangian formulations, are derived using both Fronsdal-like and new tensor fields. In particular, the BRST–BV equations of motion and Lagrangian using an appropriate set of Lagrangian multipliers in the minimal sector of the respective field and antifield configurations are constructed in a manifest way.

中文翻译：

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BRST-BFV 和 BRST-BV 描述在 R1,d-1 上具有连续自旋的玻色子场

在我们提出的约束 BRST-BFV 方法的基础上，使用类度量公式构建了 [公式：见文本] 维 Minkowski 时空中连续自旋的自由玻色子标量场的规范不变描述。得到的由幽灵算子增强的标量场的 BRST-BFV 运动方程包含不同的辅助场集，这取决于部分规范固定的方式和 BRST 展开的一些运动方程的分辨率。级可约规范理论。为了实现得到的 BRST 展开的约束运动方程与 Bargmann-Wigner 类型的初始不可约 Poincaré 群条件的等价性，证明了应该用一类规范等效配置来替换这些条件下的场。三胞胎一样，使用类 Fronsdal 和新张量场导出了类似双峰的约束描述，以及类似无约束的四重峰非拉格朗日和拉格朗日公式。特别是，BRST-BV 运动方程和拉格朗日方程在各自场和反场配置的最小扇区中使用适当的拉格朗日乘数集以明显的方式构建。