10,470 research outputs found
Covariant - tensor method for quantum groups and applications I:
A covariant - tensor method for is described. This tensor method
is used to calculate q - deformed Clebsch - Gordan coefficients. The connection
with covariant oscillators and irreducible tensor operators is established.
This approach can be extended to other quantum groups.Comment: 18 page
The q-harmonic oscillators, q-coherent states and the q-symplecton
The recently introduced notion of a quantum group is discussed conceptually and then related to deformed harmonic oscillators ('q-harmonic oscillators'). Two developments in applying q-harmonic oscillators are reviewed: q-coherent states and the q-symplecton
Dimension-six top-Higgs interaction and its effect in collider phenomenology
Measurement of the Yukawa interaction between the top quark and the Higgs
boson should be useful to clarify the mechanism of fermion mass generation.
We discuss the impact of non-standard interactions characterized by
dimension-six operators on the effective top Yukawa coupling.
The cross section of the process is calculated including these operators, and possible deviation
from the standard model prediction is evaluated under the constraint from
perturbative unitarity and current experimental data.
We find that if the new physics scale is in a TeV region, the cross section
can be significantly enhanced due to the non-standard interactions.
Such a large effect should be detectable at the International Linear
Collider.Comment: 22 pages, RevTex4, 20 eps figure
Magnetization Plateau of an S=1 Frustrated Spin Ladder
We study the magnetization plateau at 1/4 of the saturation magnetization of
the S=1 antiferromagnetic spin ladder both analytically and numerically, with
the aim of explaining recent experimental results on BIP-TENO by Goto et al. We
propose two mechanisms for the plateau formation and clarify the plateau phase
diagram on the plane of the coupling constants between spins
Ground state of an distorted diamond chain - model of
We study the ground state of the model Hamiltonian of the trimerized
quantum Heisenberg chain in which
the non-magnetic ground state is observed recently. This model consists of
stacked trimers and has three kinds of coupling constants between spins; the
intra-trimer coupling constant and the inter-trimer coupling constants
and . All of these constants are assumed to be antiferromagnetic. By
use of the analytical method and physical considerations, we show that there
are three phases on the plane (, ), the dimer phase, the spin fluid phase
and the ferrimagnetic phase. The dimer phase is caused by the frustration
effect. In the dimer phase, there exists the excitation gap between the
two-fold degenerate ground state and the first excited state, which explains
the non-magnetic ground state observed in . We also obtain the phase diagram on the
plane from the numerical diagonalization data for finite systems by use of the
Lanczos algorithm.Comment: LaTeX2e, 15 pages, 21 eps figures, typos corrected, slightly detailed
explanation adde
Ground-State Phase Diagram of the XXZ Model on a Railroad-Trestle Lattice with Asymmetric Leg Interactions
Using the bosonization and level spectroscopy methods, we study the
ground-state phase diagram of a XXZ antiferromagnet on a railroad-trestle
lattice with asymmetric leg interactions. It is shown that the asymmetry does
not change the dimer/Neel transition line significantly, which agrees with the
expectation based on a naive bosonization procedure, but it does change the
dimer/spin-fluid transition line. To understand this observation, we analyze
eigenvectors of the ground state, dimer excitation, doublet excitation and Neel
excitation, and find that only the doublet excitation is affected by the
asymmetric interaction.Comment: 6 pages, 11 Postscript figures, use jpsj2.cl
The Cosmological Constant in the Quantum Multiverse
Recently, a new framework for describing the multiverse has been proposed
which is based on the principles of quantum mechanics. The framework allows for
well-defined predictions, both regarding global properties of the universe and
outcomes of particular experiments, according to a single probability formula.
This provides complete unification of the eternally inflating multiverse and
many worlds in quantum mechanics. In this paper we elucidate how cosmological
parameters can be calculated in this framework, and study the probability
distribution for the value of the cosmological constant. We consider both
positive and negative values, and find that the observed value is consistent
with the calculated distribution at an order of magnitude level. In particular,
in contrast to the case of earlier measure proposals, our framework prefers a
positive cosmological constant over a negative one. These results depend only
moderately on how we model galaxy formation and life evolution therein.Comment: 18 pages, 4 figures; matches the version published in Phys. Rev.
Higgsless Theory of Electroweak Symmetry Breaking from Warped Space
We study a theory of electroweak symmetry breaking without a Higgs boson,
recently suggested by Csaki et al. The theory is formulated in 5D warped space
with the gauge bosons and matter fields propagating in the bulk. In the 4D dual
picture, the theory appears as the standard model without a Higgs field, but
with an extra gauge group G which becomes strong at the TeV scale. The strong
dynamics of G breaks the electroweak symmetry, giving the masses for the W and
Z bosons and the quarks and leptons. We study corrections in 5D which are
logarithmically enhanced by the large mass ratio between the Planck and weak
scales, and show that they do not destroy the structure of the electroweak
gauge sector at the leading order. We introduce a new parameter, the ratio
between the two bulk gauge couplings, into the theory and find that it allows
us to control the scale of new physics. We also present a potentially realistic
theory accommodating quarks and leptons and discuss its implications, including
the violation of universality in the W and Z boson couplings to matter and the
spectrum of the Kaluza-Klein excitations of the gauge bosons. The theory
reproduces many successful features of the standard model, although some
cancellations may still be needed to satisfy constraints from the precision
electroweak data.Comment: 17 pages, Latex; important correction in discussions on effects from
brane terms, reference adde
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