Laplace Sum Rules in Quantum ChromoDynamics

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 ${\alpha }_s$, 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 $\rho$ and $\pi$ meson sum rules.

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