2,268 research outputs found
Monopole action and condensation in SU(2) QCD
An effective monopole action for various extended monopoles is derived from
vacuum configurations after abelian projection in the maximally abelian gauge
in QCD. The action appears to be independent of the lattice volume.
Moreover it seems to depend only on the physical lattice spacing of the
renormalized lattice, not on . Entropy dominance over energy of monopole
loops is seen on the renormalized lattice with the spacing . This suggests that monopole condensation
always (for all ) occurs in the infinite-volume limit of lattice QCD.Comment: 15 Pages+7 figures, KANAZAWA 94-1
String tension and monopoles in SU(2) QCD
Monopole and photon contributions to abelian Wilson loops are calculated
using Monte-Carlo simulations of finite-temperature QCD in the
maximally abelian gauge. Long monopole loops alone are responsible for the
behavior of the string tension in the confinement phase up to the critical
. Short monopole loops and photons do not contribute to the string
tension. The abelian and the monopole spacial string tensions (both of which
agree with the normal ones for ) show a scaling
behavior in the deconfinement phase. The abelian spacial string tension is in
agreement with the full one even in the deconfinement phase.Comment: 10 Pages + 1 table + 8 figures, KANAZAWA 94-1
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
Monopole action and monopole condensation in SU(3) lattice QCD
Effective monopole actions for various extended monopoles are derived from
vacuum configurations after abelian projection in the maximally abelian gauge
in and lattice QCD. The actions obtained appear to be
independent of the lattice volume adopted. At zero temperature, monopole
condensation is seen to occur from energy-entropy balance in the strong
coupling region.
Larger is included in the monopole condensed phase as more extended
monopoles are considered. The scaling seen in the case is not yet
observed. The renormalization flow diagram suggests the existence of an
infrared fixed point. A hysteresis behavior is seen around the critical
temperature in the case of the action.Comment: 22 pages, latex, 10 figure
Structural and dynamical heterogeneities in two-dimensional melting
Using molecular dynamics simulation, we study structural and dynamical
heterogeneities at melting in two-dimensional one-component systems with 36000
particles. Between crystal and liquid we find intermediate hexatic states,
where the density fluctuations are enhanced at small wave number k as well as
those of the six-fold orientational order parameter. Their structure factors
both grow up to the smallest wave number equal to the inverse system length.
The intermediate scattering function of the density S(k,t) is found to relax
exponentially with decay rate Gamma_k ~ k^z with z~2.6 at small k in the
hexatic phase.Comment: 6 pages, 8 figure
Critical exponents and abelian dominance in QCD
The critical properties of the abelian Polyakov loop and the Polyakov loop in
terms of Dirac string are studied in finite temperature abelian projected
QCD. We evaluate the critical point and the critical exponents from
each Polyakov loop in the maximally abelian gauge using the finite-size scaling
analysis. Abelian dominance in this case is proved quantitatively. The critical
point of each abelian Polyakov loop is equal to that of the non-abelian
Polyakov loop within the statistical errors. Also, the critical exponents are
in good agreement with those from non-abelian Polyakov loops.Comment: 14 pages, latex, 4 figure
Distribution of Microscopic Energy Flux in Equilibrium State
The distribution function P(j) of the microscopic energy flux, j, in
equilibrium state is studied. It is observed that P(j) has a broad peak in
small j regime and a stretched-exponential decay for large j. The peak
structure originates in a potential advection term and energy transfer term
between the particles. The stretched exponential tail comes from the momentum
energy advection term.Comment: 5 pages, 2 figure
Monopole action from vacuum configurations in compact QED
It is possible to derive a monopole action from vacuum configurations
obtained in Monte-Carlo simulations extending the method developed by Swendsen.
We apply the method to compact QED both in the Villain and in the Wilson forms.
The action of the natural monopoles in the Villain case is in fairly good
agreement with that derived by the exact dual transformation. Comparing the
monopole actions, we find (1) the DeGrand-Toussaint monopole definition may be
useful for larger than about 0.5, (2) the Villain model well
approximates the Wilson one for smaller than and (3) in the
Wilson action the monopole condensation occurs in the confinement phase and
may be explained by the energy-entropy balance of monopole loops like
in the Villain case.Comment: 12 Pages+7 figures, KANAZAWA 94-1
Monopoles and Spatial String Tension in the High Temperature Phase of SU(2) QCD
We studied a behavior of monopole currents in the high temperature
(deconfinement) phase of abelian projected finite temperature SU(2) QCD in
maximally abelian gauge. Wrapped monopole currents closed by periodic boundary
play an important role for the spatial string tension which is a
non-perturbative quantity in the deconfinement phase. The wrapped monopole
current density seems to be non-vanishing in the continuum limit. These results
may be related to Polyakov's analysis of the confinement mechanism using
monopole gas in 3-dimensional SU(2) gauge theory with Higgs fields.Comment: 13pages (3 figures), Late
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