Evidence for fine tuning of fermionic modes in lattice gluodynamics
May, 2005
7 pages
Published in:
- JETP Lett. 82 (2005) 343-349,
- Pisma Zh.Eksp.Teor.Fiz. 82 (2005) 381-387
e-Print:
- hep-lat/0505016 [hep-lat]
DOI:
Report number:
- ITEP-LAT-2005-08
View in:
Citations per year
Abstract:
We consider properties of zero and near-zero fermionic modes in lattice gluodynamics. The modes are known to be sensitive to the topology of the underlying gluonic fields in the quantum vacuum state of the gluodynamics. We find evidence that these modes are fine tuned, that is exhibit sensitivity to both physical (one can say, hadronic) scale and to the ultraviolet cutoff. Namely, the density of the states is in physical units while the localization volume of the modes tends to zero in physical units with the lattice spacing tending to zero. We discuss briefly possible theoretical implications and also include some general, review-type remarks.Note:
- 7 pages, 7 eps figures, uses JETP Letters style (included): substantial stylistic changes, discussions added, conclusions unchanged. Supplementary materials and computer animations are available at http://lattice.itep.ru/overlap Report-no: ITEP-LAT/2005-08
- 12.38.Gc
- 11.30.Rd
- 11.15.Ha
- gauge field theory: SU(2)
- fermion: lattice field theory
- operator: Dirac
- symmetry: chiral
- continuum limit
- approximation: quenching
- fluctuation
References(41)
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