8,748 research outputs found
Parametrization of U(N)-monopoles on black holes by the moduli space of holomorphic vector bundles over two-sphere and black hole entropy
We discuss how to describe U(N)-monopoles on the Schwarzschild and
Reissner-Nordstr\"om black holes by the parameters of the moduli space of
holomorphic vector bundles over S^2. For N = 2,3 we obtain such a description
in an explicit form as well as the expressions for the corresponding monopole
masses. This gives a possibility to adduce some reasonings in favour of
existence of both a 'fine structure' for black holes and the statistical
ensemble tied with it which might generate the black hole entropy. Also there
arises some analogy with the famous K-theory in topology.Comment: 19 pages, LaTeX, minor modifications for correspondence to the
published versio
Dirac equation in the confining SU(3)-Yang-Mills field and relativistic effects in charmonium spectrum
The recently obtained solutions of the Dirac equation in the confining
SU(3)-Yang-Mills field in Minkowski spacetime are applied to describe the
energy spectrum of charmonium. The nonrelativistic limit is considered for the
relativistic effects to be estimated in a self-consistent way and it is shown
that the given effects could be extremely important for both the energy
spectrum and the confinement mechanism.Comment: 9 pages,LaTe
Black hole physics, confining solutions of SU(3)-Yang-Mills equations and relativistic models of mesons
The black hole physics techniques and results are applied to find the set of
the exact solutions of the SU(3)-Yang-Mills equations in Minkowski spacetime in
the Lorentz gauge. All the solutions contain only the Coulomb-like or linear in
components of SU(3)-connection. This allows one to obtain some possible
exact and approximate solutions of the corresponding Dirac equation that can
describe the relativistic bound states. Possible application to the
relativistic models of mesons is also outlined.Comment: 13 pages, LaTeX with using the mpla1.sty file from the package of
World Scientific Publishing C
Estimates for parameters and characteristics of the confining SU(3)-gluonic field in neutral kaons and chiral limit for pseudoscalar nonet
First part of the paper is devoted to applying the confinement mechanism
proposed earlier by the author to estimate the possible parameters of the
confining SU(3)-gluonic field in neutral kaons. The estimates obtained are
consistent with the widths of the electromagnetic decays
too. The corresponding estimates of the gluon
concentrations, electric and magnetic colour field strengths are also adduced
for the mentioned field at the scales of the mesons under consideration. The
second part of the paper takes into account the results obtained previously by
the author to estimate the purely gluonic contribution to the masses of all the
mesons of pseudoscalar nonet and also to consider a possible relation with a
phenomenological string-like picture of confinement. Finally, the problem of
masses in particle physics is shortly discussed within the framework of
approach to the chiral symmetry breaking in quantum chromodynamics (QCD)
proposed recently by the author.Comment: LaTeX, 16 pages, 2 figure
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