4,862 research outputs found
Yang-Mills theory constructed from Cho--Faddeev--Niemi decomposition
We give a new way of looking at the Cho--Faddeev--Niemi (CFN) decomposition
of the Yang-Mills theory to answer how the enlarged local gauge symmetry
respected by the CFN variables is restricted to obtain another Yang-Mills
theory with the same local and global gauge symmetries as the original
Yang-Mills theory. This may shed new light on the fundamental issue of the
discrepancy between two theories for independent degrees of freedom and the
role of the Maximal Abelian gauge in Yang-Mills theory. As a byproduct, this
consideration gives new insight into the meaning of the gauge invariance and
the observables, e.g., a gauge-invariant mass term and vacuum condensates of
mass dimension two. We point out the implications for the Skyrme--Faddeev
model.Comment: 17pages, 1 figure; English improved; a version appeared in Prog.
Theor. Phy
Solving the Schwinger-Dyson Equations for Gluodynamics in the Maximal Abelian Gauge
We derive the Schwinger-Dyson equations for the SU(2) Yang-Mills theory in
the maximal Abelian gauge and solve them in the infrared asymptotic region. We
find that the infrared asymptotic solutions for the gluon and ghost propagators
are consistent with the hypothesis of Abelian dominance.Comment: 3 pages, 1 figure; Lattice2003(topology
Single and Double Universal Seesaw Mechanisms with Universal Strength for Yukawa Couplings
Single and double universal seesaw mechanisms and the hypothesis of universal
strength for Yukawa couplings are applied to formulate a unified theory of
fermion mass spectrum in a model based on an extended Pati-Salam symmetry. Five
kinds of Higgs fields are postulated to mediate scalar interactions among
electroweak doublets of light fermions and electroweak singlets of heavy exotic
fermions with relative Yukawa coupling constants of exponential form. At the
first-order seesaw approximation, quasi-democratic mass matrices with equal
diagonal elements are derived for all charged fermion sectors and a diagonal
mass matrix is obtained for the neutrino sector under an additional ansatz.
Assuming the vacuum neutrino oscillation, the problems of solar and atmospheric
neutrino anomalies are investigated.Comment: 13 pages, LaTeX; a reference adde
Renormalizable Abelian-projected effective gauge theory derived from Quantum Chromodynamics II
In the previous paper\cite{KS00b}, we derived the Abelian projected effective
gauge theory as a low energy effective theory of the SU(N) Yang-Mills theory by
adopting the maximal Abelian gauge. At that time, we have demonstrated the
multiplicative renormalizability of the propagators for the diagonal gluon and
the dual Abelian anti-symmetric tensor field. In this paper, we show the
multiplicative renormalizability of the Green's functions also for the
off-diagonal gluon. Moreover we complement the previous results by calculating
the anomalous dimension and the renormalization group functions which are
undetermined in the previous paper.Comment: 11 pages, 3 figure
Approximate Sum Rules of CKM Matrix Elements from Quasi-Democratic Mass Matrices
To extract sum rules of CKM matrix elements, eigenvalue problems for
quasi-democratic mass matrices are solved in the first order perturbation
approximation with respect to small deviations from the democratic limit. Mass
spectra of up and down quark sectors and the CKM matrix are shown to have clear
and distinctive hierarchical structures. Numerical analysis shows that the
absolute values of calculated CKM matrix elements fit the experimental data
quite well. The order of the magnitude of the Jarlskog parameter is estimated
by the relation .Comment: Latex, 15 pages, no figure
Nuclear Excitations Described by Randomly Selected Multiple Slater Determinants
We propose a new stochastic method to describe low-lying excited states of
finite nuclei superposing multiple Slater determinants without assuming
generator coordinates a priori. We examine accuracy of our method by using
simple BKN interaction.Comment: Talk at International Symposium on Correlation Dynamics in Nuclei,
Tokyo, Japan, 31 Jan.-- 4 Feb. 200
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