Born-Infeld新引力理论的非线性自由度
Nonlinear Degrees of Freedom of Born-Infeld New Massive Gravity
- Bilkent University（比尔肯特大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文通过非线性正则分析证明Born-Infeld新引力理论在正则分支上仅有两个局部自由度，不传播额外的Boulware-Deser型标量模式。
AI中文摘要：
Born-Infeld新引力理论（BINMG）是三维新引力理论的全阶曲率扩展，其在其唯一最大对称真空附近的线性化谱包含一个有质量自旋-2场的两个极化。完整非线性理论中是否出现额外的标量自由度一直是一个悬而未决的问题。我们利用其辅助度规表述对BINMG进行了非线性正则分析。在与最大对称真空相连的正则分支上，Dirac算法产生三个第一类微分同胚约束和一个第二类标量约束对。由此得到的计数给出每个空间点恰好两个局部自由度。因此，非线性BINMG在该分支上不传播额外的Boulware-Deser型标量模式。
英文摘要：
Born-Infeld New Massive Gravity (BINMG) is an all-order curvature extension of New Massive Gravity in three dimensions, whose linearized spectrum around its unique maximally symmetric vacuum contains the two polarizations of a massive spin-two field. Whether an additional scalar degree of freedom appears in the full nonlinear theory has remained an open question. We perform a nonlinear canonical analysis of BINMG using its auxiliary-metric formulation. On the regular branch connected to the maximally symmetric vacuum, the Dirac algorithm yields three first-class diffeomorphism constraints and a second-class pair of scalar constraints. The resulting count gives exactly two local degrees of freedom per spatial point. Thus, nonlinear BINMG propagates no additional Boulware-Deser-type scalar mode on this branch.
