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.
引用
收藏
页数:8
相关论文
共 50 条
  • [21] Background-Free Propagation in Loop Quantum Gravity
    Speziale, Simone
    [J]. ADVANCED SCIENCE LETTERS, 2009, 2 (02) : 280 - 290
  • [22] Towards a background independent formulation of perturbative quantum gravity
    Brunetti, Romeo
    Fredenhagen, Klaus
    [J]. QUANTUM GRAVITY: MATHEMATICAL MODELS AND EXPERIMENTAL BOUNDS, 2007, : 151 - +
  • [23] THE STRUCTURE OF PERTURBATIVE QUANTUM-GRAVITY ON A DESITTER BACKGROUND
    TSAMIS, NC
    WOODARD, RP
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1994, 162 (02) : 217 - 248
  • [24] Gravity induced quantum interference on gravitational wave background
    Ganjali, Mohammad A.
    Sedaghatmanesh, Zainab
    [J]. MODERN PHYSICS LETTERS A, 2020, 35 (35)
  • [25] Scheme dependence of quantum gravity on de Sitter background
    Kitamoto, Hiroyuki
    Kitazawa, Yoshihisa
    [J]. NUCLEAR PHYSICS B, 2013, 873 (02) : 325 - 342
  • [26] Stochastic gravitational-wave background in quantum gravity
    Calcagni, Gianluca
    Kuroyanagi, Sachiko
    [J]. JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 2021, (03):
  • [27] The Background Effective Average Action Approach to Quantum Gravity
    D'Odorico, Giulio
    Codello, Alessandro
    Pagani, Carlo
    [J]. 1ST KARL SCHWARZSCHILD MEETING ON GRAVITATIONAL PHYSICS, 2016, 170 : 233 - 239
  • [28] The ward identity
    Anon
    [J]. Physicist, 2000, 37 (02):
  • [29] WARD IDENTITY OF DILATATION CURRENT IN CONFORMAL-INVARIANT QUANTUM ELECTRODYNAMICS
    MATSUBARA, Y
    [J]. PROGRESS OF THEORETICAL PHYSICS, 1980, 63 (02): : 627 - 640
  • [30] Background independent quantum mechanics, metric of quantum states, and gravity: A comprehensive perspective
    Aalok
    [J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2007, 46 (12) : 3216 - 3229