Yang–Mills at strong vs. weak coupling

  title={Yang–Mills at strong vs. weak coupling},
  author={M. Shifman},
  journal={The European Physical Journal Special Topics},
  • M. Shifman
  • Published 26 July 2021
  • Physics
  • The European Physical Journal Special Topics
I discuss various situations in which perturbative expansions are used in Yang–Mills theories with asymptotic freedom and establish the limits of its applicability. 
2 Citations

Figures from this paper

Renormalons and hyperasymptotics in QCD
This issue of EPJST contains a set of 11 articles aiming to put in perspective recent developments in the area of renormalons and hyperasymptotics in QCD. Conceptual problems and phenomenologicalExpand
The QCD Adler function and the muon $g-2$ anomaly from renormalons
We describe the Adler function in Quantum Chromodynamics in terms of a transseries representation within a resurgent framework. The approach is based on a Borel-Ecalle resummation of the infraredExpand


Under the spell of the gauge principle
Renormalization of gauge theories the renormalization group extended objects instantons planar diagrams quark confinement quantum gravity and black holes.
Resurgence, operator product expansion, and remarks on renormalons in supersymmetric Yang-Mills theory
We discuss similarities and differences between the resurgence program in quantum mechanics and the operator product expansion in strongly coupled Yang-Mills theories. In N = 1 super-Yang-MillsExpand
Singularities of the Borel transform in renormalizable theories
We study the structure of the singularities of the Borel transform which appear when the interaction becomes renormalizable. We find a factorized form in terms of insertions of local operators.
Recent Progress in the Heavy Quark Theory
Some recent developments in the heavy quark theory are briefly reviewed. The main emphasis is put on interrelation between HQET and OPE. The notion of duality and deviations from duality areExpand
On High Order Estimates in QED
In this note it is pointed out that there are single gauge invariant diagrams contributing to the leptonic g − 2 for which the amplitude grows like n ! in the n 'th order. The leading asymptoticExpand
XI. The Borel transform and the renormalization group
Abstract We study the consequences of the renormalization group on the large momenta behaviour of the Borel transform of the Green's functions. We discuss the implications on the structure of theExpand
On infrared divergences
Revised 25 September 1978 We study the structure of infrared divergences in superrenormalizable interactions. We conjecture that there is an extension of the Bogoliubov-Parasiuk-Hepp theorem whichExpand
Non-perturbative processes at high energies in weakly coupled theories : multi-instantons set an early limit
Abstract We study the role of multi-instanton configurations in the multiparticle production at high energies in the standard model. A critical point s∞ is found where one, two, three, etc.Expand
On the phase structure of vector-like gauge theories with massless fermions
Abstract We present a systematic expansion for studying an infrared-stable fixed point of gauge theories with massless fermions. These results are combined with information from strong coupling andExpand
Electric - magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory
Abstract We study the vacuum structure and don spectrum of N =2 supersymmetric gauge theory in four dimensions, with gauge group SU(2). The theory turns out to have remarkably rich and physicalExpand