Vector Beta Function
Vector Beta Function
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向量贝塔函数
DOI：
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发表时间：
2013
期刊：
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通讯作者：
Y. Nakayama
中科院分区：
文献类型：
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作者：
Y. Nakayama
我们提出了相对论量子场论中向量算子的重整化群 beta 函数的各种性质。我们认为它们必须满足补偿规范不变性、标量 beta 函数的正交性、反常维度之间的类希格斯关系和梯度性质。我们进一步推测，当且仅当向量算子守恒时，非重整化才成立。局部重整化群分析保证了功率计数重整化内的前三个。我们在弱耦合引力状态下验证了共形微扰理论和全息术中的所有猜想。
We propose various properties of renormalization group beta functions for vector operators in relativistic quantum field theories. We argue that they must satisfy compensated gauge invariance, orthogonality with respect to scalar beta functions, Higgs-like relation among anomalous dimensions and a gradient property. We further conjecture that nonrenormalization holds if and only if the vector operator is conserved. The local renormalization group analysis guarantees the first three within power counting renormalization. We verify all the conjectures in conformal perturbation theories and holography in the weakly coupled gravity regime.