论文标题
Weyl协方差和高源性自由形式理论的能量动量张量
Weyl Covariance and the Energy Momentum Tensors of Higher-Derivative Free Conformal Field Theories
论文作者
论文摘要
讨论了扁平时空中高衍生自由标量形成场理论的能量动量张量。描述了用于计算能量动量张量的两种算法，这些算法实现了不同的目标：第一个是蛮力，突出了能量动量张量的复杂性，而第二个则显示其几何起源的某些特征，作为Weyl Inverric的某些特征。给出了对能量动量张量的新紧凑表达式，并突出显示了某些时空维度中的共形主要操作员的特定障碍物。我们的讨论还扩展到了更高衍生的自由旋转理论，这些理论基于对狄拉克动作的高衍生概括，并在高于两种的维度中提供了相结合场理论的有趣示例。
Energy momentum tensors of higher-derivative free scalar conformal field theories in flat spacetime are discussed. Two algorithms for the computation of energy momentum tensors are described, which accomplish different goals: the first is brute-force and highlights the complexity of the energy momentum tensors, while the second displays some features of their geometric origin as variations of Weyl invariant curved-space actions. New compact expressions for energy momentum tensors are given and specific obstructions to defining them as conformal primary operators in some spacetime dimensions are highlighted. Our discussion is also extended to higher-derivative free spinor theories, which are based on higher-derivative generalizations of the Dirac action and provide interesting examples of conformal field theories in dimension higher than two.
