593 research outputs found

### A fresh look on the flux tube in Abelian-projected SU(2) gluodynamics

We reconsider the properties of the $Q\bar{Q}$ flux tube within
Abelian-projected SU(2) lattice gauge theory in terms of electric field and
monopole current. In the maximal Abelian gauge we assess the influence of the
Gribov copies on the apparent flux-tube profile. For the optimal gauge fixing
we study the independence of the profile on the lattice spacing for $\beta=$
2.3, 2.4, and 2.5115 on a $32^4$ lattice. We decompose the Abelian Wilson loop
into monopole and photon parts and compare the electric and monopole profile
emerging from different sources with the field strength and monopole current
within the dual Ginzburg-Landau theory.Comment: 3 pages, 6 figures, Lattice2002(topology

### Glueball masses in U(1) LGT using the multi-level algorithm

The multi-level algorithm allows, at least for pure gauge theories, reliable
measurement of exponentially small expectation values. The implementation of
the algorithm depends strongly on the observable one wants to measure. Here we
report measurement of glueball masses using the multi-level algorithm in 4
dimensional compact U(1) theory as a case study.Comment: Lattice 2003 (algorithm) 3 pages, 3 figures and 2 table

### Quark Confinement Physics in Quantum Chromodynamics

We study abelian dominance and monopole condensation for the quark
confinement physics using the lattice QCD simulations in the MA gauge. These
phenomena are closely related to the dual superconductor picture of the QCD
vacuum, and enable us to construct the dual Ginzburg-Landau (DGL) theory as an
useful effective theory of nonperturbative QCD. We then apply the DGL theory to
the studies of the low-lying hadron structure and the scalar glueball
properties.Comment: Talk given at 15th International Conference on Particle and Nuclei
(PANIC 99), Uppsala, Sweden, 10-16 Jun 1999, 4 page

### Flavor independent systematics of excited baryons and intra-band transition

Transitions among excited nucleons are studied within a non-relativistic
quark model with a deformed harmonic oscillator potential. The transition
amplitudes are factorized into the $l$-th moment and a geometrical factor. This
fact leads to an analogous result to the ``Alaga-rule'' for baryons.Comment: 4 Pages, 2 figures, Talk given at XVI International Conference on
Particles and Nuclei (PaNic02), Osaka, Japan, Sep.30 - Oct.4, 200

### Finite-temperature chiral condensate and low-lying Dirac eigenvalues in quenched SU(2) lattice gauge theory

The spectrum of low-lying eigenvalues of overlap Dirac operator in quenched
SU(2) lattice gauge theory with tadpole-improved Symanzik action is studied at
finite temperatures in the vicinity of the confinement-deconfinement phase
transition defined by the expectation value of the Polyakov line. The value of
the chiral condensate obtained from the Banks-Casher relation is found to drop
down rapidly at T = Tc, though not going to zero. At Tc' = 1.5 Tc = 480 MeV the
chiral condensate decreases rapidly one again and becomes either very small or
zero. At T < Tc the distributions of small eigenvalues are universal and are
well described by chiral orthogonal ensemble of random matrices. In the
temperature range above Tc where both the chiral condensate and the expectation
value of the Polyakov line are nonzero the distributions of small eigenvalues
are not universal. Here the eigenvalue spectrum is better described by a
phenomenological model of dilute instanton - anti-instanton gas.Comment: 8 pages RevTeX, 5 figures, 2 table

### Isolated Eigenvalues of the Ferromagnetic Spin-J XXZ Chain with Kink Boundary Conditions

We investigate the low-lying excited states of the spin J ferromagnetic XXZ
chain with Ising anisotropy Delta and kink boundary conditions. Since the third
component of the total magnetization, M, is conserved, it is meaningful to
study the spectrum for each fixed value of M. We prove that for J>= 3/2 the
lowest excited eigenvalues are separated by a gap from the rest of the
spectrum, uniformly in the length of the chain. In the thermodynamic limit,
this means that there are a positive number of excitations above the ground
state and below the essential spectrum

### Takahashi Integral Equation and High-Temperature Expansion of the Heisenberg Chain

Recently a new integral equation describing the thermodynamics of the 1D
Heisenberg model was discovered by Takahashi. Using the integral equation we
have succeeded in obtaining the high temperature expansion of the specific heat
and the magnetic susceptibility up to O((J/T)^{100}). This is much higher than
those obtained so far by the standard methods such as the linked-cluster
algorithm. Our results will be useful to examine various approximation methods
to extrapolate the high temperature expansion to the low temperature region.Comment: 5 pages, 4 figures, 2 table

### Stability of quantum states of finite macroscopic systems against classical noises, perturbations from environments, and local measurements

We study the stability of quantum states of macroscopic systems of finite
volume V, against weak classical noises (WCNs), weak perturbations from
environments (WPEs), and local measurements (LMs). We say that a pure state is
`fragile' if its decoherence rate is anomalously great, and `stable against
LMs' if the result of a LM is not affected by another LM at a distant point. By
making full use of the locality and huge degrees of freedom, we show the
following: (i) If square fluctuation of every additive operator is O(V) or less
for a pure state, then it is not fragile in any WCNs or WPEs. (ii) If square
fluctuations of some additive operators are O(V^2) for a pure state, then it is
fragile in some WCNs or WPEs. (iii) If a state (pure or mixed) has the `cluster
property,' then it is stable against LMs, and vice versa. These results have
many applications, among which we discuss the mechanism of symmetry breaking in
finite systems.Comment: 6 pages, no figure.Proof of the theorem is described in the revised
manuscrip

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