276 research outputs found
Regional Integration in Asia and Its Effects on the EU and North America
Consequences of free trade agreements (FTAs) among the ASEAN+3 countries and ASEAN+6 countries are explored using a dynamic computable general equilibrium (CGE) model. Quantitative assessments of intra and extra-regional effects on welfare, trade and output are offered. When both trade facilitation and endogenously determined productivity are included in the FTA scenarios, Singapore, other ASEAN countries and China would be able to realize relatively large welfare gains, while the welfare effects on the EU and North America are negligible. The trade and output effects on the latter two regions are also relatively small, with the notable exception of crops, other than rice, in North America.Regional integration, FTA, East Asia, welfare effects, CGE model
Parametric resonance at the critical temperature in high energy heavy ion collisions
Parametric resonance in soft modes at the critical temperature () in
high energy heavy ion collisions is studied in the case when the temperature
() of the system is almost constant for a long time. By deviding the fields
into three parts, zero mode (condensate), soft modes and hard modes and
assuming that the hard modes are in thermal equilibrium, we derive the equation
of motion for soft modes at . Enhanced modes are extracted by
comparing with the Mathieu equation for the condensate oscillating along the
sigma axis at . It is found that the soft mode of fields at
about 174 MeV is enhanced.Comment: 8 pages, 1 figure Some statements and equations are modified to
clarif
Form factors of the XXZ model and the affine quantum group symmetry
We present new expressions of form factors of the XXZ model which satisfy
Smirnov's three axioms. These new form factors are obtained by acting the
affine quantum group to the known ones obtained
in our previous works. We also find the relations among all the new and known
form factors, i.e., all other form factors can be expressed as kind of
descendents of a special one.Comment: 11 pages, latex; Some explanation is adde
Annihilation poles of a Smirnov-type integral formula for solutions to quantum Knizhnik--Zamolodchikov equation
We consider the recently obtained integral representation of quantum
Knizhnik-Zamolodchikov equation of level 0. We obtain the condition for the
integral kernel such that these solutions satisfy three axioms for form factor
\'{a} la Smirnov. We discuss the relation between this integral representation
and the form factor of XXZ spin chain.Comment: 14 pages, latex, no figures
Nodal degenerations of plane curves and Galois covers
Globally irreducible nodes (i.e. nodes whose branches belong to the same
irreducible component) have mild effects on the most common topological
invariants of an algebraic curve. In other words, adding a globally irreducible
node (simple nodal degeneration) to a curve should not change them a lot. In
this paper we study the effect of nodal degeneration of curves on fundamental
groups and show examples where simple nodal degenerations produce
non-isomorphic fundamental groups and this can be detected in an algebraic way
by means of Galois coverings.Comment: 16 pages, 3 figure
Dynamical Pion Production via Parametric Resonance from Disoriented Chiral Condensate
We discuss a dynamical mechanism of pion production from disoriented chiral
condensates (DCC). It leads to an explosive production of pions via the
parametric amplification mechanism, which is similar to the reheating mechanism
in inflationary cosmology. Classically, it is related with the instability in
the solutions of the Mathieu equation and we explore the quantum aspects of the
mechanism. We show that nonlinearlities and back reactions can be ignorable for
sufficiently long time under the small amplitude approximations of background
oscillations, which may be appropriate for the late stage of
nonequilibrium phase transition. It allows us to obtain an explicit quantum
state of the produced pions and , the squeezed state of BCS type.
Single particle distributions and two-pion correlation functions are computed
within these approximations. The results obtained illuminate the characteristic
features of multi-pion states produced through the parametric amplification
mechanism. In particular, two-pion correlations of various charge combinations
contain back-to-back correlations which cannot be masked by the identical
particle interference effect.Comment: REVTEX 18 pages and 10 figure
Nonequilibrium evolution in scalar O(N) models with spontaneous symmetry breaking
We consider the out-of-equilibrium evolution of a classical condensate field
and its quantum fluctuations for a scalar O(N) model with spontaneously broken
symmetry. In contrast to previous studies we do not consider the large N limit,
but the case of finite N, including N=1, i.e., plain theory.
The instabilities encountered in the one-loop approximation are prevented, as
in the large-N limit, by back reaction of the fluctuations on themselves, or,
equivalently, by including a resummation of bubble diagrams.
For this resummation and its renormalization we use formulations developed
recently based on the effective action formalism of Cornwall, Jackiw and
Tomboulis. The formulation of renormalized equations for finite N derived here
represents a useful tool for simulations with realistic models. Here we
concentrate on the phase structure of such models. We observe the transition
between the spontaneously broken and the symmetric phase at low and high energy
densities, respectively. This shows that the typical structures expected in
thermal equilibrium are encountered in nonequilibrium dynamics even at early
times, i.e., before an efficient rescattering can lead to thermalization.Comment: 31 pages, 19 Figures, LaTeX; extended discussion on the basis of:
fluctuations, eff. potential, correlations, analytic calculation of
parametric resonance for "pion"_and_ "sigma" field
Point absorbers in Advanced LIGO
Small, highly absorbing points are randomly present on the surfaces of the main interferometer optics in Advanced LIGO. The resulting nanometer scale thermo-elastic deformations and substrate lenses from these micronscale absorbers significantly reduce the sensitivity of the interferometer directly though a reduction in the power-recycling gain and indirect interactions with the feedback control system. We review the expected surface deformation from point absorbers and provide a pedagogical description of the impact on power buildup in second generation gravitational wave detectors (dual-recycled Fabry-Perot Michelson interferometers). This analysis predicts that the power-dependent reduction in interferometer performance will significantly degrade maximum stored power by up to 50% and, hence, limit GW sensitivity, but it suggests system wide corrections that can be implemented in current and future GW detectors. This is particularly pressing given that future GW detectors call for an order of magnitude more stored power than currently used in Advanced LIGO in Observing Run 3. We briefly review strategies to mitigate the effects of point absorbers in current and future GW wave detectors to maximize the success of these enterprises. (C) 2021 Optical Society of America
Nonlinear evolution of the momentum dependent condensates in strong interaction: the ``pseudoscalar laser''
We discuss the relaxation of the scalar and pseudoscalar condensates after a
rapid quench from an initial state with fluctuations. If we include not only
the zero-mode but also higher modes of the condensates in the classical
evolution, we observe parametric amplification of those ``hard'' modes. Thus,
they couple nonlinearly to the ``soft'' modes. As a consequence, domains of
coherent pi-field emerge long after the initial spinodal decomposition. The
momentum-space distribution of pions emerging from the decay of that
momentum-dependent condensate is discussed.Comment: 6 Pages, REVTEX, 8 Figures; one reference and one figure adde
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