752 research outputs found
Space-time correlation and momentum exchanges in compound open-channel flow by simultaneous measurements of two-sets of ADVs
River hydrodynamicsOverbank flows and vegetatio
Techni-dilaton at Conformal Edge
Techni-dilaton (TD) was proposed long ago in the technicolor (TC) near
criticality/conformality. To reveal the critical behavior of TD, we explicitly
compute the nonperturbative contributions to the scale anomaly
, which
are generated by the dynamical mass m of the techni-fermions. Our computation
is based on the (improved) ladder Schwinger-Dyson equation, with the gauge
coupling replaced by the two-loop running one having the
Caswell-Banks-Zaks IR fixed point : for the IR region , where is
the intrinsic scale (analogue of of QCD) relevant to the
perturbative scale anomaly. We find that
and in the
criticality limit () ("conformal edge"). Our result precisely
reproduces the formal identity , where is the nonperturbative beta function
corresponding to the above essential singularity scaling of .
Accordingly, the PCDC implies at criticality limit, where is the mass of TD and
the decay constant of TD. We thus conclude that at criticality limit
the TD could become a "true (massless) Nambu-Goldstone boson" ,
only when , namely getting decoupled, as was the case of
"holographic TD" of Haba-Matsuzaki-Yamawaki. The decoupled TD can be a
candidate of dark matter.Comment: 17 pages, 14 figures; discussions clarified, references added, to
appear in Phys.Rev.
The Brieva-Rook Localization of the Microscopic Nucleon-Nucleus Potential
The nonlocality of the microscopic nucleon-nucleus optical potential is
commonly localized by the Brieva-Rook approximation. The validity of the
localization is tested for the proton+Zr scattering at the incident
energies from 65 MeV to 800 MeV. The localization is valid in the wide
incident-energy range.Comment: 20 pages, 8 figure
A -anaolg of the sixth Painlev\'e equation
A -difference analog of the sixth Painlev\'e equation is presented. It
arises as the condition for preserving the connection matrix of linear
-difference equations, in close analogy with the monodromy preserving
deformation of linear differential equations. The continuous limit and special
solutions in terms of -hypergeometric functions are also discussed.Comment: 8 pages, LaTeX file (Two misprints corrected
Collective excitations, instabilities, and ground state in dense quark matter
We study the spectrum of light plasmons in the (gapped and gapless)
two-flavor color superconducting phases and its connection with the
chromomagnetic instabilities and the structure of the ground state. It is
revealed that the chromomagnetic instabilities in the 4-7th and 8th gluonic
channels correspond to two very different plasmon spectra. These spectra lead
us to the unequivocal conclusion about the existence of gluonic condensates
(some of which can be spatially inhomogeneous) in the ground state. We also
argue that spatially inhomogeneous gluonic condensates should exist in the
three-flavor quark matter with the values of the mass of strange quark
corresponding to the gapless color-flavor locked state.Comment: Revtex, 5 pages, 4 figures, two figures and clarifications added, to
appear in PRD (Rapid Communications
Neutral Larkin--Ovchinnikov--Fulde--Ferrell state and chromomagnetic instability in two-flavor dense QCD
In two-flavor dense quark matter, we describe the dynamics in the single
plane wave Larkin--Ovchinnikov--Fulde--Ferrell (LOFF) state satisfying the
color and electric neutrality conditions. We find that because the neutral LOFF
state itself suffers from a chromomagnetic instability in the whole region
where it coexists with the (gapped/gapless) two-flavor superconducting
(2SC/g2SC) phases, it cannot cure this instability in those phases. This is
unlike the recently revealed gluonic phase which seems to be able to resolve
this problem.Comment: Revtex4, 5 pages, 3 figures, clarifications added, to appear in
Phys.Rev.Let
Gluonic phases, vector condensates, and exotic hadrons in dense QCD
We study the dynamics in phases with vector condensates of gluons (gluonic
phases) in dense two-flavor quark matter. These phases yield an example of
dynamics in which the Higgs mechanism is provided by condensates of gauge (or
gauge plus scalar) fields. Because vacuum expectation values of spatial
components of vector fields break the rotational symmetry, it is naturally to
have a spontaneous breakdown both of external and internal symmetries in this
case. In particular, by using the Ginzburg-Landau approach, we establish the
existence of a gluonic phase with both the rotational symmetry and the
electromagnetic U(1) being spontaneously broken. In other words, this phase
describes an anisotropic medium in which the color and electric
superconductivities coexist. It is shown that this phase corresponds to a
minimum of the Ginzburg-Landau potential and, unlike the two-flavor
superconducting (2SC) phase, it does not suffer from the chromomagnetic
instability. The dual (confinement) description of its dynamics is developed
and it is shown that there are light exotic vector hadrons in the spectrum,
some of which condense. Because most of the initial symmetries in this system
are spontaneously broken, its dynamics is very rich.Comment: 33 pages, RevTeX; v.2: Published PRD versio
Ultra-violet Behavior of Bosonic Quantum Membranes
We treat the action for a bosonic membrane as a sigma model, and then compute
quantum corrections by integrating out higher membrane modes. As in string
theory, where the equations of motion of Einstein's theory emerges by setting
, we find that, with certain assumptions, we can recover the
equations of motion for the background fields. Although the membrane theory is
non-renormalizable on the world volume by power counting, the investigation of
the ultra-violet behavior of membranes may give us insight into the
supersymmetric case, where we hope to obtain higher order M-theory corrections
to 11 dimensional supergravity.Comment: 25 pages, Latex, no figure
Gauged Nambu-Jona-Lasinio model with extra dimensions
We investigate phase structure of the D (> 4)-dimensional gauged
Nambu-Jona-Lasinio (NJL) model with extra dimensions
compactified on TeV scale, based on the improved ladder Schwinger-Dyson (SD)
equation in the bulk. We assume that the bulk running gauge coupling in the SD
equation for the SU(N_c) gauge theory with N_f massless flavors is given by the
truncated Kaluza-Klein effective theory and hence has a nontrivial ultraviolet
fixed point (UVFP). We find the critical line in the parameter space of two
couplings, the gauge coupling and the four-fermion coupling, which is similar
to that of the gauged NJL model with fixed (walking) gauge coupling in four
dimensions. It is shown that in the presence of such walking gauge interactions
the four-fermion interactions become ``nontrivial'' even in higher dimensions,
similarly to the four-dimensional gauged NJL model. Such a nontriviality holds
only in the restricted region of the critical line (``nontrivial window'') with
the gauge coupling larger than a non-vanishing value (``marginal triviality
(MT)'' point), in contrast to the four-dimensional case where such a
nontriviality holds for all regions of the critical line except for the pure
NJL point. In the nontrivial window the renormalized effective potential yields
a nontrivial interaction which is conformal invariant. The exisitence of the
nontrivial window implies ``cutoff insensitivity'' of the physics prediction in
spite of the ultraviolet dominance of the dynamics. In the formal limit D -> 4,
the nontrivial window coincides with the known condition of the nontriviality
of the four-dimensional gauged NJL model, .Comment: 34 pages, 6 figures, references added, to appear in Phys.Rev.D. The
title is changed in PR
Coulomb Blockade and Coherent Single-Cooper-Pair Tunneling in Single Josephson Junctions
We have measured the current-voltage characteristics of small-capacitance
single Josephson junctions at low temperatures (T < 0.04 K), where the strength
of the coupling between the single junction and the electromagnetic environment
was controlled with one-dimensional arrays of dc SQUIDs. We have clearly
observed Coulomb blockade of Cooper-pair tunneling and even a region of
negative differential resistance, when the zero-bias resistance of the SQUID
arrays is much higher than the quantum resistance h/e^2 = 26 kohm. The negative
differential resistance is evidence of coherent single-Cooper-pair tunneling in
the single Josephson junction.Comment: RevTeX, 4 pages with 6 embedded figure
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