English

Laplace Sum Rules in Quantum ChromoDynamics

High Energy Physics - Phenomenology 2023-09-04 v1

Abstract

We shortly review some applications of the (inverse) Laplace (LSR) transform sum rules in Quantum ChromoDynamics (QCD) for extracting the fundamental QCD parameters (coupling constant αs\alpha_s, quark and gluon condensates) and the hadron properties (masses and decay constants). Links of LSR to some other forms of QCD spectral sum rules are also discussed. As prototype examples, we discuss in detail the ρ\rho and π\pi meson sum rules.

Keywords

Cite

@article{arxiv.2309.00258,
  title  = {Laplace Sum Rules in Quantum ChromoDynamics},
  author = {Stephan Narison},
  journal= {arXiv preprint arXiv:2309.00258},
  year   = {2023}
}

Comments

22 pages, 11 figures, Invited review to be published as a Chapter of the book : The Laplace Transform and its Applications, edited by Nova Science Publishers, New-York. arXiv admin note: text overlap with arXiv:2211.14536

R2 v1 2026-06-28T12:10:00.032Z