论文标题
具有自发对称性破坏的延长Snyder和Yang模型的量子扰动溶液
Quantum perturbative solutions of extended Snyder and Yang models with spontaneous symmetry breaking
论文作者
论文摘要
我们提出$ \ hbar $ - 扩展作为量子扩展Snyder和Yang型号的扰动解决方案，并具有$ \ hbar $独立的经典零订单条款，负责自发破坏$ d = 4 $和$ d = 5 $ d $ de symmeters。 In such models, with algebraic basis spanned by $\hat o(D,1)$ Lie algebra generators, we relate the vacuum expectation values (VEV) of the spontaneously broken generators with the Abelian set of ten (Snyder, $D=4$) or fifteen (Yang, $D=5$) antisymmetric tensorial generalized coordinates, which are also used as zero order input for obtaining量子扩展Snyder和Yang模型的扰动解决方案。通过这种方式，我们将归因于这些Abelian广义的坐标，从而描述了自发对称性破坏（SSB）的顺序参数的物理含义。似乎，如果我们通过双重张力交换段的双重集合补充SSB订单参数，则可以明确计算$ \ hbar $ - 功率系列中的连续项。
We propose $\hbar$-expansions as perturbative solutions of quantum extended Snyder and Yang models, with $\hbar$-independent classical zero-th order terms responsible for the spontaneous breaking of $D=4$ and $D=5$ de Sitter symmetries. In such models, with algebraic basis spanned by $\hat o(D,1)$ Lie algebra generators, we relate the vacuum expectation values (VEV) of the spontaneously broken generators with the Abelian set of ten (Snyder, $D=4$) or fifteen (Yang, $D=5$) antisymmetric tensorial generalized coordinates, which are also used as zero order input for obtaining the perturbative solutions of quantum extended Snyder and Yang models. In such a way we will attribute to these Abelian generalized coordinates the physical meaning of the order parameters describing spontaneous symmetry breaking (SSB). It appears that the consecutive terms in $\hbar$-power series can be calculated explicitly if we supplement the SSB order parameters by the dual set of tensorial commutative momenta.
