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Localized eigenmodes of covariant Laplacians in the Yang-Mills vacuum
| Content Provider | Semantic Scholar |
|---|---|
| Author | Greensite, J. Olejnı́k, Š. Polikarpov, Mikhail I. Syritsyn, Sergey Nikolaevich Zakharov, Viktor |
| Copyright Year | 2005 |
| Abstract | As a probe of the Yang-Mills vacuum, we study numerically the eigenmode spectrum of the covariant lattice Laplacian operator. We find that the eigenmodes at the low and high ends of the spectrum are localized in finite regions whose volume is insensitive to the lattice vol ume. We also find that the vacuum is seen very differently by localized modes of the covariant Laplacian i n d fferent representations of the gauge group. In the fundamental representation, the data suggests that the localization volume is finite in physical units set by the string tension, and localization disappears when cente r vortices are removed. In the adjoint and j = 3/2 representations the low and high-lying modes are far more lo calized, and the localization volume appears to scale to zero, in physical units, in the continuum limit. The adjoint Laplacian is insensitive to vortex removal, but we find that exponential localization is absent for adjoi nt eigenmodes in the Higgs phase of a gauge-Higgs theory. Localization is also absent in the spectrum of the Co ulomb gauge Faddeev-Popov operator, as required in Coulomb gauge confinement scenarios. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://cds.cern.ch/record/832117/files/0504008.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Arabic numeral 0 Normal mode Numerical analysis Prunus mume Telling untruths Tension Time complexity Triune continuum paradigm Unit Volume Vortex YANG |
| Content Type | Text |
| Resource Type | Article |
