595 research outputs found
Evidence of Strong Correlation between Instanton and QCD-monopole on SU(2) Lattice
The correlation between instantons and QCD-monopoles is studied both in the
lattice gauge theory and in the continuum theory. An analytical study in the
Polyakov-like gauge, where is diagonalized, shows that the
QCD-monopole trajectory penetrates the center of each instanton, and becomes
complicated in the multi-instanton system. Using the SU(2) lattice with ,
the instanton number is measured in the singular (monopole-dominating) and
regular (photon-dominating) parts, respectively. The monopole dominance for the
topological charge is found both in the maximally abelian gauge and in the
Polyakov gauge.Comment: 4 pages, Latex, 3 figures. Talk presented by H. Suganuma at
International Symposium on 'Lattice Field Theory', July 11 - 15, 1995,
Melbourne, Australi
Confinement Properties in the Multi-Instanton System
We investigate the confinement properties in the multi-instanton system,
where the size distribution is assumed to be for the large
instanton size . We find that the instanton vacuum gives the area law
behavior of the Wilson loop, which indicates existence of the linear confining
potential. In the multi-instanton system, the string tension increases
monotonously with the instanton density, and takes the standard value for the density . Thus, instantons
directly relate to color confinement properties.Comment: Talk presented by M. Fukushima at ``Lattice '97'', the International
Symposium on Lattice Field Theory, 22 - 26 July 1997, in Edinburgh, Scotland,
3 pages, Plain Late
Monopole Current Dynamics and Color Confinement
Color confinement can be understood by the dual Higgs theory, where monopole
condensation leads to the exclusion of the electric flux from the QCD vacuum.
We study the role of the monopole for color confinement by investigating the
monopole current system. When the self-energy of the monopole current is small
enough, long and complicated monopole world-lines appear, which is a signal of
monopole condensation. In the dense monopole system, the Wilson loop obeys the
area-law, and the string tension and the monopole density have similar behavior
as the function of the self-energy, which seems that monopole condensation
leads to color confinement. On the long-distance physics, the monopole current
system almost reproduces essential features of confinement properties in
lattice QCD. In the short-distance physics, however, the monopole-current
theory would become nonlocal and complicated due to the monopole size effect.
This monopole size would provide a critical scale of QCD in terms of the dual
Higgs mechanism.Comment: 6 pages LaTeX, 5 figures, uses espcrc1.sty, Talk presented at
International Conference on Quark Lepton Nuclear Physics, Osaka, May. 199
Confinement and Topological Charge in the Abelian Gauge of QCD
We study the relation between instantons and monopoles in the abelian gauge.
First, we investigate the monopole in the multi-instanton solution in the
continuum Yang-Mills theory using the Polyakov gauge. At a large instanton
density, the monopole trajectory becomes highly complicated, which can be
regarded as a signal of monopole condensation. Second, we study instantons and
monopoles in the SU(2) lattice gauge theory both in the maximally abelian (MA)
gauge and in the Polyakov gauge. Using the lattice, we find
monopole dominance for instantons in the confinement phase even at finite
temperatures. A linear-type correlation is found between the total
monopole-loop length and the integral of the absolute value of the topological
density (the total number of instantons and anti-instantons) in the MA gauge.
We conjecture that instantons enhance the monopole-loop length and promote
monopole condensation.Comment: 3 pages, LaTeX, Talk presented at LATTICE96(topology
Distribution of fermionic and topological observables on the lattice
We analyze the topological and fermionic vacuum structure of four-dimensional
QCD on the lattice by means of correlators of fermionic observables and
topological densities. We show the existence of strong local correlations
between the topological charge and monopole density on the one side and the
quark condensate, charge and chiral density on the other side. Visualization of
individual gauge configurations demonstrates that instantons (antiinstantons)
carry positive (negative) chirality, whereas the quark charge density
fluctuates in sign within instantons.Comment: 10 pages, 5 eps figures, to appear in Phys. Lett.
BMB activity defines refractory and competent hair follicle populations during the propagation of regenerative waves
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The Role of Monopoles for Color Confinement
We study the role of the monopole for color confinement by using the monopole
current system. For the self-energy of the monopole current less than
ln, long and complicated monopole world-lines appear and the Wilson
loop obeys the area law, and therefore the monopole current system almost
reproduces essential features of confinement properties in the long-distance
physics. In the short-distance physics, however, the monopole-current theory
would become nonlocal due to the monopole size effect. This monopole size would
provide a critical scale of QCD in terms of the dual Higgs mechanism.Comment: 3 pages LaTeX, 3 figures, uses espcrc2.sty, Talk presented at
lattice97, Edinburgh, Scotland, July. 199
Temporal meson correlators at finite temperature on quenched anisotropic lattice
We study charmonium correlators at finite temperature in quenched anisotropic
lattice QCD. The smearing technique is applied to enhance the low energy part
of the correlator. We use two analysis procedures: the maximum entropy method
for extraction of the spectral function without assuming specific form, as an
estimate of the shape of spectral function, and the fit assuming
typical forms as quantitative evaluation of the parameters associated to the
forms. We find that at the ground state peak has almost the
same mass as at T=0 and almost vanishing width. At , our result
suggests that the correlator still has nontrivial peak structure at almost the
same position as below with finite width.Comment: Lattice 2002 Nonzero temperature 3page
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