246 research outputs found
Coherent charge transport through molecular wires: "Exciton blocking" and current from electronic excitations in the wire
We consider exciton effects on current in molecular nanojunctions, using a
model comprising a two two-level sites bridge connecting free electron
reservoirs. Expanding the density operator in the many-electron eigenstates of
the uncoupled sites, we obtain a 16X16 density matrix in the bridge subspace
whose dynamics is governed by Liuoville equation that takes into account
interactions on the bridge as well as electron injection and damping to and
from the leads. Our consideration can be considerably simplified by using the
pseudospin description based on the symmetry properties of Lie group SU(2). We
study the influence of the bias voltage, the Coulomb repulsion and the
energy-transfer interactions on the steady-state current and in particular
focus on the effect of the excitonic interaction between bridge sites. Our
calculations show that in case of non-interacting electrons this interaction
leads to reduction in the current at high voltage for a homodimer bridge. In
other words, we predict the effect of \textquotedblleft
exciton\textquotedblright blocking. The effect of \textquotedblleft
exciton\textquotedblright blocking is modified for a heterodimer bridge, and
disappears for strong Coulomb repulsion at sites. In the latter case the
exciton type interactions can open new channels for electronic conduction. In
particular, in the case of strong Coulomb repulsion, conduction exists even
when the electronic connectivity does not exist.Comment: 14 pages, 15 figure
Self-amplified Cherenkov radiation from a relativistic electron in a waveguide partially filled with a laminated material
The radiation from a relativistic electron uniformly moving along the axis of
cylindrical waveguide filled with laminated material of finite length is
investigated. Expressions for the spectral distribution of radiation passing
throw the transverse section of waveguide at large distances from the laminated
material are derived with no limitations on the amplitude and variation profile
of the layered medium permittivity and permeability. Numerical results for
layered material consisting of dielectric plates alternated with vacuum gaps
are given. It is shown that at a special choice of problem parameters,
Cherenkov radiation generated by the relativistic electron inside the plates is
self-amplified. The visual explanation of this effect is given and a possible
application is discussed.Comment: 8 pages, 4 figures,1 table, the paper is accepted for publication in
the Journal of Physics: Conference Serie
The Path Integral Quantization And The Construction Of The S-matrix In The Abelian And Non-Abelian Chern-Simons Theories
The cvariant path integral quantization of the theory of the scalar and
spinor particles interacting through the abelian and non-Abelian Chern-Simons
gauge fields is carried out and is shown to be mathematically ill defined due
to the absence of the transverse components of these gauge fields. This is
remedied by the introduction of the Maxwell or the Maxwell-type (in the
non-Abelian case)term which makes the theory superrenormalizable and guarantees
its gauge-invariant regularization and renormalization. The generating
functionals are constructed and shown to be formally the same as those of QED
(or QCD) in 2+1 dimensions with the substitution of the Chern-Simons propagator
for the photon (gluon) propagator. By constructing the propagator in the
general case, the existence of two limits; pure Chern-Simons and QED (QCD)
after renormalization is demonstrated.
By carrying out carefully the path integral quantization of the non-Abelian
Chern-Simons theories using the De Witt-Fadeev-Popov and the Batalin-Fradkin-
Vilkovisky methods it is demonstrated that there is no need to quantize the
dimensionless charge of the theory. The main reason is that the action in the
exponent of the path integral is BRST-invariant which acquires a zero winding
number and guarantees the BRST renormalizability of the model.
The S-matrix operator is constructed, and starting from this S-matrix
operator novel topological unitarity identities are derived that demand the
vanishing of the gauge-invariant sum of the imaginary parts of the Feynman
diagrams with a given number of intermediate on-shell topological photon lines
in each order of perturbation theory. These identities are illustrated by an
explicit example.Comment: LaTex file, 31 pages, two figure
Fermion Propagators in Type II Fivebrane Backgrounds
The fermion propagators in the fivebrane background of type II superstring
theories are calculated. The propagator can be obtained by explicitly
evaluating the transition amplitude between two specific NS-R boundary states
by the propagator operator in the non-trivial world-sheet conformal field
theory for the fivebrane background. The propagator in the field theory limit
can be obtained by using point boundary states. We can explicitly investigate
the lowest lying fermion states propagating in the non-trivial ten-dimensional
space-time of the fivebrane background: M^6 x W_k^(4), where W_k^(4) is the
group manifold of SU(2)_k x U(1). The half of the original supersymmetry is
spontaneously broken, and the space-time Lorentz symmetry SO(9,1) reduces to
SO(5,1) in SO(5,1) x SO(4) \subset SO(9,1) by the fivebrane background. We find
that there are no propagations of SO(4) (local Lorentz) spinor fields, which is
consistent with the arguments on the fermion zero-modes in the fivebrane
background of low-energy type II supergravity theories.Comment: 15 page
On The Universality Class Of Little String Theories
We propose that Little String Theories in six dimensions are quasilocal
quantum field theories. Such field theories obey a modification of Wightman
axioms which allows Wightman functions (i.e. vacuum expectation values of
products of fundamental fields) to grow exponentially in momentum space.
Wightman functions of quasilocal fields in x-space violate microlocality at
short distances. With additional assumptions about the ultraviolet behavior of
quasilocal fields, one can define approximately local observables associated to
big enough compact regions. The minimum size of such a region can be
interpreted as the minimum distance which observables can probe. We argue that
for Little String Theories this distance is of order {\sqrt N}/M_s.Comment: 25 pages, late
Confining Properties of the Homogeneous Self-Dual Field and the Effective Potential in SU(2) Yang-Mills Theory
We examine in non-Abelian gauge theory the heavy quark limit in the presence
of the (anti-)self-dual homogeneous background field and see that a confining
potential emerges, consistent with the Wilson criterion, although the potential
is quadratic and not linear in the quark separation. This builds upon the
well-known feature that propagators in such a background field are entire
functions. The way in which deconfinement can occur at finite temperature is
then studied in the static temporal gauge by calculation of the effective
potential at high temperature. Finally we discuss the problems to be surmounted
in setting up the calculation of the effective potential nonperturbatively on
the lattice.Comment: 31 pages, LaTeX, expanded discussion and derivations in Sections 2
and
Gene pathway development in human epicardial adipose tissue during early life
Studies in rodents and newborn humans demonstrate the influence of brown adipose tissue (BAT) in temperature control and energy balance and a critical role in the regulation of body weight. Here, we obtained samples of epicardial adipose tissue (EAT) from neonates, infants, and children in order to evaluate changes in their transcriptional landscape by applying a systems biology approach. Surprisingly, these analyses revealed that the transition to infancy is a critical stage for changes in the morphology of EAT and is reflected in unique gene expression patterns of a substantial proportion of thermogenic gene transcripts (~10%). Our results also indicated that the pattern of gene expression represents a distinct developmental stage, even after the rebound in abundance of thermogenic genes in later childhood. Using weighted gene coexpression network analyses, we found precise anthropometric-specific correlations with changes in gene expression and the decline of thermogenic capacity within EAT. In addition, these results indicate a sequential order of transcriptional events affecting cellular pathways, which could potentially explain the variation in the amount, or activity, of BAT in adulthood. Together, these results provide a resource to elucidate gene regulatory mechanisms underlying the progressive development of BAT during early life
On Equivalence of Duffin-Kemmer-Petiau and Klein-Gordon Equations
A strict proof of equivalence between Duffin-Kemmer-Petiau (DKP) and
Klein-Gordon (KG) theories is presented for physical S-matrix elements in the
case of charged scalar particles interacting in minimal way with an external or
quantized electromagnetic field. First, Hamiltonian canonical approach to DKP
theory is developed in both component and matrix form. The theory is then
quantized through the construction of the generating functional for Green
functions (GF) and the physical matrix elements of S-matrix are proved to be
relativistic invariants. The equivalence between both theories is then proved
using the connection between GF and the elements of S-matrix, including the
case of only many photons states, and for more general conditions - so called
reduction formulas of Lehmann, Symanzik, Zimmermann.Comment: 23 pages, no figures, requires macro tcilate
Flat-space scattering and bulk locality in the AdS/CFT correspondence
The large radius limit in the AdS/CFT correspondence is expected to provide a
holographic derivation of flat-space scattering amplitudes. This suggests that
questions of locality in the bulk should be addressed in terms of properties of
the S-matrix and their translation into the conformal field theory. There are,
however, subtleties in this translation related to generic growth of amplitudes
near the boundary of anti de-Sitter space. Flat space amplitudes are recovered
after a delicate projection of CFT correlators onto normal-mode frequencies of
AdS. Once such amplitudes are obtained from the CFT, possible criteria for
approximate bulk locality include bounds on growth of amplitudes at high
energies and reproduction of semiclassical gravitational scattering at long
distances.Comment: 25 pages, harvmac. v2: Very minor corrections to eqs. v3: Minor
improvements of discussion of locality bounds and string scattering v4. Typos
fixe
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