The background scale Ward identity in quantum gravity

被引：41
|
作者：
Percacci, Roberto [1 ,2 ]
Vacca, Gian Paolo [3 ]
机构：
[1] Scuola Int Super Studi Avanzati, Via Bonomea 265, I-34136 Trieste, Italy
[2] Ist Nazl Fis Nucl, Sez Trieste, Trieste, Italy
[3] Ist Nazl Fis Nucl, Sez Bologna, Via Irnerio 46, I-40126 Bologna, Italy
来源：
EUROPEAN PHYSICAL JOURNAL C | 2017年 / 77卷 / 01期
关键词：
RENORMALIZATION-GROUP; ULTRAVIOLET PROPERTIES; EQUATION; FLOWS;
D O I：
10.1140/epjc/s10052-017-4619-x
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
We show that with suitable choices of parametrization, gauge fixing and cutoff, the anomalous variation of the effective action under global rescalings of the background metric is identical to the derivative with respect to the cutoff, i.e. to the beta functional, as defined by the exact RG equation. The Ward identity and the RG equation can be combined, resulting in a modified flow equation that is manifestly invariant under global background rescalings.
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页数：8
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