On the analytically-improved running coupling in QCD-Reference-Cited by-同舟云学术

On the analytically-improved running coupling in QCD

Published:2022-05-20 Issue:15 Volume:37 Page:
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

Brandt F. T.¹^ORCID,Frenkel J.¹,McKeon D. G. C.²³,Sakoda G. S. S.¹

Affiliation:

1. Instituto de Física, Universidade de São Paulo, São Paulo, SP 05508-090, Brazil

2. Department of Applied Mathematics, The University of Western Ontario, London, Ontario N6A 5B7, Canada

3. Department of Mathematics and Computer Science, Algoma University, Sault Ste Marie, Ontario P6A 2G4, Canada

Abstract

In this paper, we examine, in the ’t Hooft renormalization scheme, the analytic running coupling [Formula: see text] in QCD, using the two-loop [Formula: see text]-function with positive expansion parameters [Formula: see text] and [Formula: see text]. An exact integral representation is derived for this causal coupling, which is fully expressed in terms of the imaginary part of the Lambert function [Formula: see text]. This integral form manifestly accounts for the universal value of the infrared limit [Formula: see text].

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732322500924

Reference35 articles.

1. Quantum Electrodynamics at Small Distances

2. Charge renormalization group in quantum field theory

3. New Approach to the Renormalization Group

4. Dimensional regularization and the renormalization group

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