Shrinking fermionic modes, on the lattice and in the continuum
arXiv:hep-ph/0612341
Abstract
Recent lattice data indicates that volume occupied by topological fermionic modes shrinks to zero in the continuum limit of vanishing lattice spacing. The data apparently cannot be accommodated within, say, conventional instanton model. We review field-theoretic arguments which demonstrate that the topological fermionic modes are to shrink to a vanishing submanifold of the whole four dimensional space provided that measurements are performed with high resolution. Moreover, the data fit well the emerging overall picture of lower-dimensional defects in the Euclidean vacuum of Yang-Mills theories. We also mention results on localization of scalar particles.
11 pages; Talk at the ``QUARKS-2006'', 14th International Seminar on High Energy Physics, St Petersburg, Russia, 19-25 May, 2006
References in corpus (13)
- Instantons in QCD
- A construction of lattice chiral gauge theories
- Theta Dependence In The Large N Limit Of Four-Dimensional Gauge Theories
- Fine tuned vortices in lattice SU(2) gluodynamics
- Anatomy of the lattice magnetic monopoles
- On the Local Structure of Topological Charge Fluctuations in QCD
- Localized eigenmodes of covariant Laplacians in the Yang-Mills vacuum
- Three dimensional vacuum domains in four dimensional SU(2) gluodynamics
- On topological properties of vacuum defects in lattice Yang-Mills theories
- Peculiarities in the Spectrum of the Adjoint Scalar Kinetic Operator in Yang-Mills Theory
- Matter of resolution: from quasiclassics to fine tuning
- The clash of positivities in topological density correlators
- The scaling dimension of low lying Dirac eigenmodes and of the topological charge density