50 research outputs found
Electronic Correlations Near a Peierls-CDW Transition
Results of a phenomenological Monte carlo calculation for a 2D
electron-phonon Holstein model near a Peierls-CDW transition are presented.
Here the zero Matsubara frequency part of the phonon action is dominant and we
approximated it by a phenomenological form that as an Ising-like Peierls-CDW
transition. The resulting model is studied on a 32 by 32 lattice. The single
particle spectral weight A(k,\omega), the density of states N(\omega), and the
real part of the conductivity \sigma_1(\omega) all show evidence of a pseudogap
which develops in the low-energy electronic degrees of freedom as the
Peierls-CDW transition is approachedComment: 14 pages, 7 figure
String Propagator: a Loop Space Representation
The string quantum kernel is normally written as a functional sum over the
string coordinates and the world--sheet metrics. As an alternative to this
quantum field--inspired approach, we study the closed bosonic string
propagation amplitude in the functional space of loop configurations. This
functional theory is based entirely on the Jacobi variational formulation of
quantum mechanics, {\it without the use of a lattice approximation}. The
corresponding Feynman path integral is weighed by a string action which is a
{\it reparametrization invariant} version of the Schild action. We show that
this path integral formulation is equivalent to a functional ``Schrodinger''
equation defined in loop--space. Finally, for a free string, we show that the
path integral and the functional wave equation are {\it exactly } solvable.Comment: 15 pages, no figures, ReVTeX 3.
Following Gluonic World Lines to Find the QCD Coupling in the Infrared
Using a parametrization of the Wilson loop with the minimal-area law, we
calculate the polarization operator of a valence gluon, which propagates in the
confining background. This enables us to obtain the infrared freezing (i.e.
finiteness) of the running strong coupling in the confinement phase, as well as
in the deconfinement phase up to the temperature of dimensional reduction. The
momentum scale defining the onset of freezing is found both analytically and
numerically. The nonperturbative contribution to the thrust variable,
originating from the freezing, makes the value of this variable closer to the
experimental one.Comment: 25 pages, 5 figure
Zig Zag symmetry in AdS/CFT duality
The validity of the Bianchi identity, which is intimately connected with the
zig zag symmetry, is established, for piecewise continuous contours, in the
context of Polakov's gauge field-string connection in the large 'tHooft
coupling limit, according to which the chromoelectric `string' propagates in
five dimensions with its ends attached on a Wilson loop in four dimensions. An
explicit check in the wavy line approximation is presented.Comment: 24 pages version to appear in EPJ
Noncomputability Arising In Dynamical Triangulation Model Of Four-Dimensional Quantum Gravity
Computations in Dynamical Triangulation Models of Four-Dimensional Quantum
Gravity involve weighted averaging over sets of all distinct triangulations of
compact four-dimensional manifolds. In order to be able to perform such
computations one needs an algorithm which for any given and a given compact
four-dimensional manifold constructs all possible triangulations of
with simplices. Our first result is that such algorithm does not
exist. Then we discuss recursion-theoretic limitations of any algorithm
designed to perform approximate calculations of sums over all possible
triangulations of a compact four-dimensional manifold.Comment: 8 Pages, LaTex, PUPT-132
Heavy-quark condensate at zero- and nonzero temperatures for various forms of the short-distance potential
With the use of the world-line formalism, the heavy-quark condensate in the
SU(N)-QCD is evaluated for the cases when the next-to-1/r term in the
quark-antiquark potential at short distances is either quadratic, or linear. In
the former case, the standard QCD-sum-rules result is reproduced, while the
latter result is a novel one. Explicitly, it is UV-finite only in less than
four dimensions. This fact excludes a possibility to have, in four dimensions,
very short strings (whose length has the scale of the lattice spacing), and
consequently the short-range linear potential (if it exists) cannot violate the
OPE. In any number of dimensions, the obtained novel expression for the quark
condensate depends on the string tension at short distances, rather than on the
gluon condensate, and grows linearly with the number of colors in the same way
as the standard QCD-sum-rules expression. The use of the world-line formalism
enables one to generalize further both results to the case of finite
temperatures. A generalization of the QCD-sum-rules expression to the case of
an arbitrary number of space-time dimensions is also obtained and is shown to
be UV-finite, provided this number is smaller than six.Comment: 11 pages, no figure
Holstein model in infinite dimensions at half-filling
The normal state of the Holstein model is studied at half-filling in infinite
dimensions and in the adiabatic regime. The dynamical mean-field equations are
solved using perturbation expansions around the extremal paths of the effective
action for the atoms. We find that the Migdal-Eliashberg expansion breaks down
in the metallic state if the electron-phonon coupling exceeds a value
of about 1.3 in spite of the fact that the formal expansion parameter ( is the phonon frequency, the Fermi energy) is
much smaller than 1. The breakdown is due to the appearance of more than one
extremal path of the action. We present numerical results which illustrate in
detail the evolution of the local Green's function, the self-energy and the
effective atomic potential as a function of .Comment: Revtex + 17 postscript figures include
Dynamical Mean-Field Theory of Electron-Phonon Interactions in Correlated Systems: Application to Isotope Effects on Electronic Properties
We use a recently developed formalism (combining an adiabatic expansion and
dynamical mean-field theory) to obtain expressions for isotope effects on
electronic properties in correlated systems. As an example we calculate the
isotope effect on electron effective mass for the Holstein model as a function
of electron-phonon interaction strength and doping. Our systematic expansion
generates diagrams neglected in previous studies, which turn out to give the
dominant contributions. The isotope effect is small unless the system is near a
lattice instability. We compare this to experiment.Comment: 6 pages, 4 figures; added discussion of isotope effect away from half
fillin
QCD strings with spinning quarks
We construct a consistent action for a massive spinning quark on the end of a
QCD string that leads to pure Thomas precession of the quark's spin. The string
action is modified by the addition of Grassmann degrees of freedom to the
string such that the equations of motion for the quark spin follow from
boundary conditions, just as do those for the quark's position.Comment: REVTeX4, 10 pages, no figure
Coherent Radio Pulses From GEANT Generated Electromagnetic Showers In Ice
Radio Cherenkov radiation is arguably the most efficient mechanism for
detecting showers from ultra-high energy particles of 1 PeV and above. Showers
occuring in Antarctic ice should be detectable at distances up to 1 km. We
report on electromagnetic shower development in ice using a GEANT Monte Carlo
simulation. We have studied energy deposition by shower particles and
determined shower parameters for several different media, finding agreement
with published results where available. We also report on radio pulse emission
from the charged particles in the shower, focusing on coherent emission at the
Cherenkov angle. Previous work has focused on frequencies in the 100 MHz to 1
GHz range. Surprisingly, we find that the coherence regime extends up to tens
of Ghz. This may have substantial impact on future radio-based neutrino
detection experiments as well as any test beam experiment which seeks to
measure coherent Cherenkov radiation from an electromagnetic shower. Our study
is particularly important for the RICE experiment at the South Pole.Comment: 44 pages, 29 figures. Minor changes made, reference added, accepted
for publication in Phys. Rev.