1,247 research outputs found
Instantaneous Interquark Potential in Generalized Landau Gauge in SU(3) Lattice QCD: A Linkage between the Landau and the Coulomb Gauges
We investigate in detail "instantaneous interquark potentials", interesting
gauge-dependent quantities defined from the spatial correlators of the temporal
link-variable , in generalized Landau gauge using SU(3) quenched lattice
QCD. The instantaneous Q potential has no linear part in the
Landau gauge, and it is expressed by the Coulomb plus linear potential in the
Coulomb gauge, where the slope is 2-3 times larger than the physical string
tension. Using the generalized Landau gauge, we find that the instantaneous
potential can be continuously described between the Landau and the Coulomb
gauges, and its linear part rapidly grows in the neighborhood of the Coulomb
gauge. We also investigate the instantaneous 3Q potential in the generalized
Landau gauge, and obtain similar results to the Q case. -length
terminated Polyakov-line correlators and their corresponding "finite-time
potentials" are also investigated in generalized Landau gauge
Lattice analysis for the energy scale of QCD phenomena
We formulate a new framework in lattice QCD to study the relevant energy
scale of QCD phenomena. By considering the Fourier transformation of link
variable, we can investigate the intrinsic energy scale of a physical quantity
nonperturbatively. This framework is broadly available for all lattice QCD
calculations. We apply this framework for the quark-antiquark potential and
meson masses in quenched lattice QCD. The gluonic energy scale relevant for the
confinement is found to be less than 1 GeV in the Landau or Coulomb gauge.Comment: 4 pages, 4 figure
The System of Multi Color-flux-tubes in the Dual Ginzburg-Landau Theory
We study the system of multi color-flux-tubes in terms of the dual Ginzburg
-Landau theory. We consider two ideal cases, where the directions of all the
color-flux-tubes are the same in one case and alternative in the other case for
neighboring flux-tubes. We formulate the system of multi color-flux -tubes by
regarding it as the system of two color-flux-tubes penetrating through a two
dimensional sphere surface. We find the multi flux-tube configuration becomes
uniform above some critical flux-tube number density . On the other hand, the inhomogeneity on the color electric
distribution appears when the flux-tube density is smaller than . We
discuss the relation between the inhomogeneity in the color-electric
distribution and the flux-tube number density in the multi-flux-tube system
created during the QGP formation process in the ultra-relativistic heavy-ion
collision.Comment: 17 pages, Revtex, ( 7 figures - available on request from
[email protected]
Detailed analysis of the gluonic excitation in the three-quark system in lattice QCD
We study the excited-state potential and the gluonic excitation in the static
three-quark (3Q) system using SU(3) lattice QCD with at
=5.8 and 6.0 at the quenched level. For about 100 different patterns of
spatially-fixed 3Q systems, we accurately extract the excited-state potential
together with the ground-state potential by diagonalizing the QCD Hamiltonian in the presence of three
quarks. The gluonic excitation energy is found to be about 1 GeV at the typical hadronic
scale. This large gluonic-excitation energy is conjectured to give a physical
reason of the success of the quark model for low-lying hadrons even without
explicit gluonic modes. We investigate the functional form of in terms of the 3Q location. The lattice data of are
relatively well reproduced by the ``inverse Mercedes Ansatz'' with the
``modified Y-type flux-tube length'', which indicates that the
gluonic-excitation mode is realized as a complicated bulk excitation of the
whole 3Q system.Comment: 13pages, 13figure
QCD Phase Transition at Finite Temperature in the Dual Ginzburg-Landau Theory
We study the pure-gauge QCD phase transition at finite temperatures in the
dual Ginzburg-Landau theory, an effective theory of QCD based on the dual Higgs
mechanism. We formulate the effective potential at various temperatures by
introducing the quadratic source term, which is a new useful method to obtain
the effective potential in the negative-curvature region. Thermal effects
reduce the QCD-monopole condensate and bring a first-order deconfinement phase
transition. We find a large reduction of the self-interaction among
QCD-monopoles and the glueball masses near the critical temperature by
considering the temperature dependence of the self-interaction. We also
calculate the string tension at finite temperatures.Comment: 13 pages, uses PHYZZX ( 5 figures - available on request from
[email protected]
Lattice QCD analysis for Faddeev-Popov eigenmodes in terms of gluonic momentum components in the Coulomb gauge
We analyze the relation between Faddeev-Popov eigenmodes and gluon-momentum
components in the Coulomb gauge using SU(3) lattice QCD. In the Coulomb gauge,
the color-Coulomb energy is largely enhanced by near-zero Faddeev-Popov
eigenmodes, which would lead to the confining potential. By the
ultraviolet-momentum gluon cut, the color-Coulomb energy and the Faddeev-Popov
spectrum are almost unchanged. In contrast to the ultraviolet insensitivity,
the color-Coulomb energy and the Faddeev-Popov eigenmodes drastically change by
infrared-momentum gluon cut. Without infrared gluons, the color-Coulomb energy
tends to become non-confining, and near-zero Faddeev-Popov eigenmodes vanish.
We also investigate the full FP eigenmodes, and find that infrared gluons
widely influence both high and low Faddeev-Popov eigenmodes.Comment: 8 pages, 5 figure
Off-diagonal Gluon Mass Generation and Infrared Abelian Dominance in Maximally Abelian Gauge in SU(3) Lattice QCD
In SU(3) lattice QCD formalism, we propose a method to extract gauge fields
from link-variables analytically. With this method, we perform the first study
on effective mass generation of off-diagonal gluons and infrared Abelian
dominance in the maximally Abelian (MA) gauge in the SU(3) case. Using SU(3)
lattice QCD, we investigate the propagator and the effective mass of the gluon
fields in the MA gauge with U(1)_3 \timesU(1)_8 Landau gauge fixing. The
Monte Carlo simulation is performed on at =5.7, 5.8 and 6.0 at
the quenched level. The off-diagonal gluons behave as massive vector bosons
with the approximate effective mass in the region of fm, and the propagation is
limited within a short range, while the propagation of diagonal gluons remains
even in a large range. In this way, infrared Abelian dominance is shown in
terms of short-range propagation of off-diagonal gluons. Furthermore, we
investigate the functional form of the off-diagonal gluon propagator. The
functional form is well described by the four-dimensional Euclidean Yukawa-type
function with
for fm. This also indicates that the spectral function of
off-diagonal gluons has the negative-value region
Gluon-propagator functional form in the Landau gauge in SU(3) lattice QCD: Yukawa-type gluon propagator and anomalous gluon spectral function
We study the gluon propagator in the Landau gauge in
SU(3) lattice QCD at = 5.7, 5.8, and 6.0 at the quenched level. The
effective gluon mass is estimated as MeV for fm. Through the functional-form analysis of
obtained in lattice QCD, we find that the Landau-gauge
gluon propagator is well described by the Yukawa-type
function with MeV for fm in the
four-dimensional Euclidean space-time. In the momentum space, the gluon
propagator with GeV is
found to be well approximated with a new-type propagator of ,
which corresponds to the four-dimensional Yukawa-type propagator. Associated
with the Yukawa-type gluon propagator, we derive analytical expressions for the
zero-spatial-momentum propagator , the effective mass ,
and the spectral function of the gluon field. The mass parameter
turns out to be the effective gluon mass in the infrared region of
1fm. As a remarkable fact, the obtained gluon spectral function
is almost negative-definite for , except for a positive
-functional peak at .Comment: 20 pages, 15 figure
Scalar-Quark Systems and Chimera Hadrons in SU(3)_c Lattice QCD
Light scalar-quarks \phi (colored scalar particles or idealized diquarks) and
their color-singlet hadronic states are studied with quenched SU(3)_c lattice
QCD in terms of mass generation in strong interaction without chiral symmetry
breaking. We investigate ``scalar-quark mesons'' \phi^\dagger \phi and
``scalar-quark baryons'' \phi\phi\phi which are the bound states of
scalar-quarks \phi. We also investigate the bound states of scalar-quarks \phi
and quarks \psi, i.e., \phi^\dagger \psi, \psi\psi\phi and \phi\phi\psi, which
we name ``chimera hadrons''. All the new-type hadrons including \phi are found
to have a large mass even for zero bare scalar-quark mass m_\phi=0 at
a^{-1}\simeq 1GeV. We find that the constituent scalar-quark and quark picture
is satisfied for all the new-type hadrons. Namely, the mass of the new-type
hadron composed of m \phi's and n \psi's, M_{{m}\phi+{n}\psi}, satisfies
M_{{m}\phi+{n}\psi}\simeq {m} M_\phi +{n} M_\psi, where M_\phi and M_\psi are
the constituent scalar-quark and quark mass, respectively. M_\phi at m_\phi=0
estimated from these new-type hadrons is 1.5-1.6GeV, which is larger than that
of light quarks, M_\psi\simeq 400{\rm MeV}. Therefore, in the systems of
scalar-quark hadrons and chimera hadrons, scalar-quarks acquire large mass due
to large quantum corrections by gluons. Together with other evidences of mass
generations of glueballs and charmonia, we conjecture that all colored
particles generally acquire a large effective mass due to dressed gluon
effects.Comment: 9 pages, 9 figure
Dual Ginzburg-Landau Theory for Nonperturbative QCD
Nonperturbative QCD is studied with the dual Ginzburg-Landau theory, where
color confinement is realized through the dual Higgs mechanism by QCD-monopole
condensation. We obtain a general analytic formula for the string tension. A
compact formula is derived for the screened inter-quark potential in the
presence of light dynamical quarks. The QCD phase transition at finite
temperature is studied using the effective potential formalism. The string
tension and the QCD-monopole mass are largely reduced near the critical
temperature, . The surface tension is estimated from the effective
potential at . We propose also a new scenario of the quark-gluon-plasma
creation through the color-electric flux-tube annihilation. Finally, we discuss
a close relation between instantons and QCD-monopoles.Comment: Talk presented by H. Suganuma at the Int. Conf. ``CONFINEMENT95'',
March 22-24, 1995, Osaka, Japan, 12 pages, uses PHYZZ
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