论文标题
BRST-BV量子作用，用于受约束的完全对称整数HS字段
BRST-BV Quantum Actions for Constrained Totally-Symmetric Integer HS Fields
论文作者
论文摘要
在$ d $维的Minkowski空间中，用于完全对称的无质量HS领域的约束BRST-BV Lagangian公式扩展到非最小程度约束的BRST-BV Lagrangian配方，通过使用非中型BRST Operator $ q_ {C | \ natrm bf non-mathrm {tot tot} $ nonmimianian bf in $ \ OVERLINE {C}，\ OVERLINE {\ MATHCAL {P}}，λ，π$，以及Antighost和Nakanishi-Lautrup Tensor Fields，以引入可允许的自以为是的自符合时间表条件。固定过程涉及操作员量规brst-bfv fermion $ψ_h$作为固定量规BRST-BV Fermion功能$ψ$的内核，表明了BFV-BV二元性的概念。具有非最小BRST伸展的外壳约束的Fock空间量子作用被构建为总体通用场抗验矢量的转移，该量子是通过BRST-BV ACTION $ s^ψ_{0 | S} = \ s} = \ int D d除\ fers bv fermion $ψ$的变异衍生物的变化。 0} _ {\ mathrm {tot} | c} \ big | q_ {c | \ mathrm {tot}} \ big | χ^{ψ0} _ {\ mathrm {tot} | c} \ rangle $。我们使用量规条件，该条件取决于两个量规参数，从而扩展了$r_ξ$ -gauges的情况。对于三重态和双重配方，我们仅使用无可观的场式距离和源变量探索了表示形式。对于Green功能的生成功能，建议BRST对称转换并获得病房身份。
A constrained BRST-BV Lagrangian formulation for totally symmetric massless HS fields in a $d$-dimensional Minkowski space is extended to a non-minimal constrained BRST-BV Lagrangian formulation by using a non-minimal BRST operator $Q_{c|\mathrm{tot}}$ with non-minimal Hamiltonian BFV oscillators $\overline{C}, \overline{\mathcal{P}}, λ, π$, as well as antighost and Nakanishi-Lautrup tensor fields, in order to introduce an admissible self-consistent gauge condition. The gauge-fixing procedure involves an operator gauge-fixing BRST-BFV Fermion $Ψ_H$ as a kernel of the gauge-fixing BRST-BV Fermion functional $Ψ$, manifesting the concept of BFV-BV duality. A Fock-space quantum action with non-minimal BRST-extended off-shell constraints is constructed as a shift of the total generalized field-antifield vector by a variational derivative of the gauge-fixing Fermion $Ψ$ in a total BRST-BV action $S^Ψ_{0|s} = \int d η_0 \langle χ^{Ψ 0}_{\mathrm{tot}|c} \big| Q_{c|\mathrm{tot}}\big| χ^{Ψ 0}_{\mathrm{tot}|c}\rangle$. We use a gauge condition which depends on two gauge parameters, thereby extending the case of $R_ξ$-gauges. For triplet and duplet formulations we explored the representations with only traceless field-antifield and source variables. For the generating functionals of Green's functions, BRST symmetry transformations are suggested and Ward identities are obtained.
