1,422 research outputs found
String tension and glueball masses of SU(2) QCD from perfect action for monopoles and strings
We study the perfect monopole action as an infrared effective theory of SU(2)
QCD. It is transformed exactly into a lattice string model. Since the monopole
interactions are weak in the infrared SU(2) QCD, the string interactions become
strong. The strong coupling expansion of string model shows the quantum
fluctuation is small. The classical string tension is estimated analytically,
and we see it is very close to the quantum one in the SU(2) QCD. We also
discuss how to calculate the glueball mass in our model.Comment: LATTICE99(Confinement), 3 pages and 1 EPS figure
On the perfect lattice actions of abelian-projected SU(2) QCD
We study the perfect lattice actions of abelian-projected SU(2) gluodynamics.
Using the BKT and duality transformations on the lattice, an effective string
model is derived from the direction-dependent quadratic monopole action,
obtained numerically from SU(2) gluodynamics in maximally abelian gauge. The
string tension and the restoration of continuum rotational invariance are
investigated using strong coupling expansion of lattice string model
analytically. We also found that the block spin transformation can be performed
analytically for the quadratic monopole action.Comment: 3 pages, Latex, 1 figures; talk presented at LATTICE9
An Almost Perfect Quantum Lattice Action for Low-energy SU(2) Gluodynamics
We study various representations of infrared effective theory of SU(2)
Gluodynamics as a (quantum) perfect lattice action. In particular we derive a
monopole action and a string model of hadrons from SU(2) Gluodynamics. These
are lattice actions which give almost cut-off independent physical quantities
even on coarse lattices. The monopole action is determined by numerical
simulations in the infrared region of SU(2) Gluodynamics. The string model of
hadrons is derived from the monopole action by using BKT transformation. We
illustrate the method and evaluate physical quantities such as the string
tension and the mass of the lowest state of the glueball analytically using the
string model of hadrons. It turns out that the classical results in the string
model is near to the one in quantum SU(2) Gluodynamics.Comment: 39 pages, 10 figure
Screening and confinement in U(1)^{N-1} Abelian effective theories
We discuss the effect of dynamical charged particles in U(1)^{N-1} Abelian
effective theories of QCD. Screening and confinement at zero temperature are
explained qualitatively. The effect of dynamically charged particle is
expressed in terms of an effective action of integer electric currents. When a
screening is expected, the static potential shows a flattening in the
long-range region and a linear behavior in the intermediate region. We show why
the screening is better observed in the Polyakov-loop correlators than in the
Wilson loops. The breaking of the adjoint string is explained without the Z(N)
picture.Comment: 4 pages, RevTex
Blocking from continuum and monopoles in gluodynamics
We review the method of blocking of topological defects from continuum used
as a non--perturbative tool to construct effective actions for these defects.
The actions are formulated in the continuum limit while the couplings of these
actions can be derived from simple observables calculated numerically on
lattices with a finite lattice spacing. We demonstrate the success of the
method in deriving the effective actions for Abelian monopoles in the pure
SU(2) gauge models in an Abelian gauge. In particular, we discuss the
gluodynamics in three and four space--time dimensions at zero and non--zero
temperatures. Besides the action the quantities of our interest are the
monopole density, the magnetic Debye mass and the monopole condensate.Comment: 24 pages, 16 figures, RevTeX 4; To be published in Phys. Atom. Nucl.
dedicated to the 70th Birthday of Professor Yu. A. Simono
Blocking of lattice monopoles from the continuum in hot lattice gluodynamics
The Abelian monopoles in lattice gluodynamics are associated with continuum
monopoles blocked to the lattice. This association allows to predict the
lattice monopole action and density of the (squared) monopole charges from a
continuum monopole model. The method is applied to the static monopoles in high
temperature gluodynamics. We show that the numerical data both for the density
and the action of the lattice monopoles can be described in terms of a Coulomb
gas of Abelian monopoles in the continuum.Comment: 23 pages, 9 EPS figures, LaTeX2e uses JHEP3 class file; replaced to
match published versio
Exact Critical Exponents for Pseudo-Particles in the Kondo Problem
Exact critical exponents of the Green functions for pseudo-fermions and slave
bosons in the SU() Anderson model with are obtained by
using the Bethe ansatz solution and boundary conformal field theory. They are
evaluated exactly for mixed valence systems and Kondo systems with crystalline
fields. The results agree with the prediction of Menge and M\"uller-Hartmann,
which coincide with those of the X-ray problem. Some implication of our results
in one-dimensional chiral systems is also discussed.Comment: 9 pages, no figure
Magic numbers in exotic nuclei and spin-isospin properties of {\it NN} interaction
The magic numbers in exotic nuclei are discussed, and their novel origin is
shown to be the spin-isospin dependent part of the nucleon-nucleon interaction
in nuclei. The importance and robustness of this mechanism is shown in terms of
meson exchange, G-matrix and QCD theories. In neutron-rich exotic nuclei, magic
numbers such as N = 8, 20, etc. can disappear, while N = 6, 16, etc. arise,
affecting the structure of lightest exotic nuclei to nucleosynthesis of heavy
elements.Comment: 4 pages, 3 figures, revte
Effect of Vibrational Excitation of Molecular Hydrogen on Hydrogen Recycling in LHD Edge Plasma
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