The scalar gluonium correlator: large-β0 and beyond

被引:0
|
作者
Matthias Jamin
机构
[1] Institució Catalana de Recerca i Estudis Avançats (ICREA),
[2] IFAE,undefined
[3] Theoretical Physics Group,undefined
[4] UAB,undefined
关键词
QCD Phenomenology; Phenomenological Models;
D O I
暂无
中图分类号
学科分类号
摘要
The investigation of the scalar gluonium correlator is interesting because it carries the quantum numbers of the vacuum and the relevant hadronic current is related to the anomalous trace of the QCD energy-momentum tensor in the chiral limit. After reviewing the purely perturbative corrections known up to next-next-to-leading order, the behaviour of the correlator is studied to all orders by means of the large-β0 approximation. Similar to the QCD Adler function, the large-order behaviour is governed by the leading ultraviolet renormalon pole. The structure of infrared renormalon poles, being related to the operator product expansion are also discussed, as well as a low-energy theorem for the correlator that provides a relation to the renormalisation group invariant gluon condensate, and the vacuum matrix element of the trace of the QCD energy-momentum tensor.
引用
收藏
相关论文
共 50 条
  • [21] Resurgent representation of the Adler function in the large-?0 approximation of QCD
    Caprini, Irinel
    PHYSICAL REVIEW D, 2023, 107 (07)
  • [22] Gaussian sum-rules, scalar gluonium, and instantons
    Steele, TG
    Harnett, D
    Orlandini, G
    PROCEEDINGS OF THE SUNY INSTITUTE OF TECHNOLOGY CONFERENCE ON THEORETICAL HIGH ENERGY PHYSICS, 2003, : 25 - 49
  • [23] OPE of the pseudoscalar gluonium correlator in massless QCD to three-loop order
    M.F. Zoller
    Journal of High Energy Physics, 2013
  • [24] OPE of the pseudoscalar gluonium correlator in massless QCD to three-loop order
    Zoller, M. F.
    JOURNAL OF HIGH ENERGY PHYSICS, 2013, (07):
  • [25] SCALAR GLUONIUM CANDIDATES AND THE RADIATIVE J-PSI DECAYS
    LANIK, J
    SAFARIK, K
    CZECHOSLOVAK JOURNAL OF PHYSICS, 1989, 39 (06) : 631 - 641
  • [26] Gaussian sum-rule analysis of scalar gluonium and quark mesons
    Steele, TG
    Harnett, D
    Orlandini, G
    SCALAR MESONS: AN INTERESTING PUZZLE FOR QCD, 2003, 688 : 128 - 141
  • [27] Renormalon-free definition of the gluon condensate within the large-β0 approximation
    Suzuki, Hiroshi
    Takaura, Hiromasa
    PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS, 2019, 2019 (10):
  • [28] The 0++ gluonium grouted state:: experimental survey
    Gastaldi, U
    NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2001, 96 : 234 - 243
  • [29] UV contributions to energy of a static quark-antiquark pair in large-β0 approximation
    Hayashi, Yuuki
    Sumino, Yukinari
    PHYSICS LETTERS B, 2019, 795 : 107 - 112
  • [30] Calculation of a scalar-isoscalar hadronic correlator
    Shakin, CM
    Wang, HS
    PHYSICAL REVIEW D, 2001, 64 (09):