3,532 research outputs found
Determination of Boundary Scattering, Intermagnon Scattering, and the Haldane Gap in Heisenberg Chains
Low-lying magnon dispersion in a S=1 Heisenberg antiferromagnetic (AF) chain
is analyzed using the non-Abelian DMRG method. The scattering length of the boundary coupling and the inter-magnon scattering length are
determined. The scattering length is found to exhibit a
characteristic diverging behavior at the crossover point. In contrast, the
Haldane gap , the magnon velocity , and remain constant at the
crossover. Our method allowed estimation of the gap of the S=2 AF chain to be
using a chain length longer than the correlation length
.Comment: 6 pages, 3 figures, 1 table, accepted in Phys. Rev.
How Market Power Changes in Monopoly: Using Lau’s Hessian Identities
This research examines market power using Lau’s Hessian Identity relationships based on the empirical properties of duality theory. We compare the performance of the proposed dual approach using Lau’s Hessian Identity relationships with the simple traditional dual approach.Lau’s Hessian Identity, Monte Carlo simulation, Market Power, Monopoly, Marketing,
Skyrmions coupled with the electromagnetic field via the gauged Wess-Zumino term
In soliton models expressed in terms of the non-linear chiral field, the
electric current has an anomalous gauge-field contribution as the baryon
current does. We study the spin polarized Skyrmions coupled with the
electromagnetic field via the gauged Wess-Zumino term and calculate
configurations of the Skyrmion and the gauge field with boundary conditions to
ensure the physical charge number for baryons.
Although the electromagnetic field via the gauged Wess-Zumino term affects
physical quantities in small amounts, we find that the magnetic field forms a
dipole structure owing to a circular electric current around the spin
quantization axis of the soliton. This is understood on an analogy with the
Meissner effect in the super conductor.The electric charge distributions turn
out to have characteristic structures depending on the total charge, which
suggests the intrinsic deformation of baryons due to orbital motions of the
constituents.Comment: 8 pages, 5 figure
Holographic QCD Integrated back to Hidden Local Symmetry
We develop a previously proposed gauge-invariant method to integrate out
infinite tower of Kaluza-Klein (KK) modes of vector and axialvector mesons in a
class of models of holographic QCD (HQCD). The HQCD is reduced by our method to
the chiral perturbation theory with the hidden local symmetry (HLS) having only
the lowest KK mode identified as the HLS gauge boson. We take the
Sakai-Sugimoto model as a concrete HQCD, and completely determine the terms as well as the terms from the DBI part and the
anomaly-related (intrinsic parity odd) gauge-invariant terms from the CS part.
Effects of higher KK modes are fully included in these terms. To demonstrate
power of our method, we compute momentum-dependences of several form factors
such as the pion electromagnetic form factors, the - and
- transition form factors compared with experiment, which was
not achieved before due to complication to handle infinite sums. We also study
other anomaly-related quantities like --- and
--- vertex functions.Comment: 4 eps figures, 37 pages, latex, typos fixed; some discussions and
references added; fig.4 replace
Expectation values of chiral primary operators in holographic interface CFT
We consider the expectation values of chiral primary operators in the
presence of the interface in the 4 dimensional N=4 super Yang-Mills theory.
This interface is derived from D3-D5 system in type IIB string theory. These
expectation values are computed classically in the gauge theory side. On the
other hand, this interface is a holographic dual to type IIB string theory on
AdS_5 x S^5 spacetime with a probe D5-brane. The expectation values are
computed by GKPW prescription in the gravity side. We find non-trivial
agreement of these two results: the gauge theory side and the gravity side.Comment: 17pages, no figur
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