English

QCD in a Finite Volume

High Energy Physics - Phenomenology 2016-11-23 v1 High Energy Physics - Lattice High Energy Physics - Theory

Abstract

We will review our understanding of non-abelian gauge theories in finite physical volumes. It allows one in a reliable way to trace some of the non-perturbative dynamics. The role of gauge fixing ambiguities related to large field fluctuations is an important lesson that can be learned. The hamiltonian formalism is the main tool, partly because semiclassical techniques are simply inadequate once the coupling becomes strong. Using periodic boundary conditions, continuum results can be compared to those on the lattice. Results in a spherical finite volume will be discussed as well.

Keywords

Cite

@article{arxiv.hep-ph/0008206,
  title  = {QCD in a Finite Volume},
  author = {Pierre van Baal},
  journal= {arXiv preprint arXiv:hep-ph/0008206},
  year   = {2016}
}

Comments

79 pages, latex, 20 figures (in 24 parts); contributed to the Festschrift in honor of B.L. Ioffe, edited by M. Shifman

R2 v1 2026-07-22T13:28:38.773Z