Nonperturbative physics at short distances
arXiv:0705.0743 · doi:10.1143/PTPS.167.105
Abstract
There is accumulating evidence in lattice QCD that attempts to locate confining fields in vacuum configurations bring results explicitly depending on tha lattice spacing (that is, ultraviolet cut off). Generically, one deals with low-dimensional vacuum defects which occupy a vanishing fraction of the total four-dimensional space. We review briefly existing data on the vacuum defects and their significance for confinement and other nonperturbative phenomena. We introduce the notion of `quantum numbers' of the defects and draw an analogy, rather formal one, to developments which took place about 50 years ago and were triggered by creation of the Sakata model.
15 pages, contributed to International Symposium on the Jubilee of the Sakata Model (pnLambda50), Nagoya, Japan, Nov. 2006
References in corpus (17)
- Theta Dependence In The Large N Limit Of Four-Dimensional Gauge Theories
- Exploring the structure of the quenched QCD vacuum with overlap fermions
- Fine tuned vortices in lattice SU(2) gluodynamics
- Anatomy of the lattice magnetic monopoles
- On the Local Structure of Topological Charge Fluctuations in QCD
- Monopole clusters at short and large distances
- Three dimensional vacuum domains in four dimensional SU(2) gluodynamics
- On topological properties of vacuum defects in lattice Yang-Mills theories
- SU(2) Gluodynamics and HP1 sigma-model embedding: Scaling, Topology and Confinement
- Peculiarities in the Spectrum of the Adjoint Scalar Kinetic Operator in Yang-Mills Theory
- Matter of resolution: from quasiclassics to fine tuning
- Some new results on an old controversy: is perturbation theory the correct asymptotic expansion in nonabelian models?
- Localization of Low Lying Eigenmodes for Chirally Symmetric Dirac Operator
- From confining fields on the lattice to higher dimensions in the continuum
- On the Fine Structure of QCD Confining String
- Eigenmodes of covariant Laplacian in SU(2) Yang-Mills vacuum: higher representations
- Shrinking fermionic modes, on the lattice and in the continuum