17 research outputs found
BRST QUANTIZATION OF NON-ABELIAN BF TOPOLOGICAL THEORIES
The off-shell nilpotent BRST charge and the BRST invariant effective action
for non-abelian BF topological theories over D-dimensional manifolds are
explicitly constructed. These theories have the feature of being reducible with
exactly D-3 stages of reducibility. The adequate extended phase space including
the different levels of ghosts for ghosts is explicitly obtained. Using the
structure of the resulting BRST charge we show that for topological BF theories
the semi-classical approximation completely describes the quantum theory. The
independence of the partition function on the metric also follows from our
explicit construction in a straightforward way.Comment: 13 pages, amste
Monopole creation operators as confinement--deconfinement order parameters
We study numerically two versions of the monopole creation operators proposed
by Frohlich and Marchetti. The disadvantage of the old version of the monopole
creation operator is due to visibility of the Dirac string entering the
definition of the creation operator in the theories with coexisting electric
and magnetic charges. This problem does not exist for the new creation operator
which is rather complicated. Using the Abelian Higgs model with a compact gauge
field we show that both definitions of the monopole creation operator can serve
as order parameters for the confinement--deconfinement phase transition. The
value of the monopole condensate for the old version depends on the length of
Dirac string. However, as soon as the length is fixed the old operator
certainly discriminates between the phases with condensed and non--condensed
monopoles.Comment: 12 pages, 7 figures, LaTeX2
Exact eigenstate analysis of finite-frequency conductivity in graphene
We employ the exact eigenstate basis formalism to study electrical
conductivity in graphene, in the presence of short-range diagonal disorder and
inter-valley scattering. We find that for disorder strength, 5, the
density of states is flat. We, then, make connection, using the MRG approach,
with the work of Abrahams \textit{et al.} and find a very good agreement for
disorder strength, = 5. For low disorder strength, = 2, we plot the
energy-resolved current matrix elements squared for different locations of the
Fermi energy from the band centre. We find that the states close to the band
centre are more extended and falls of nearly as as we move away
from the band centre. Further studies of current matrix elements versus
disorder strength suggests a cross-over from weakly localized to a very weakly
localized system. We calculate conductivity using Kubo Greenwood formula and
show that, for low disorder strength, conductivity is in a good qualitative
agreement with the experiments, even for the on-site disorder. The intensity
plots of the eigenstates also reveal clear signatures of puddle formation for
very small carrier concentration. We also make comparison with square lattice
and find that graphene is more easily localized when subject to disorder.Comment: 11 pages,15 figure
Abelian Magnetic Monopole Dominance in Quark Confinement
We prove Abelian magnetic monopole dominance in the string tension of QCD.
Abelian and monopole dominance in low energy physics of QCD has been confirmed
for various quantities by recent Monte Carlo simulations of lattice gauge
theory. In order to prove this dominance, we use the reformulation of continuum
Yang-Mills theory in the maximal Abelian gauge as a deformation of a
topological field theory of magnetic monopoles, which was proposed in the
previous article by the author. This reformulation provides an efficient way
for incorporating the magnetic monopole configuration as a topological
non-trivial configuration in the functional integral. We derive a version of
the non-Abelian Stokes theorem and use it to estimate the expectation value of
the Wilson loop. This clearly exhibits the role played by the magnetic monopole
as an origin of the Berry phase in the calculation of the Wilson loop in the
manifestly gauge invariant manner. We show that the string tension derived from
the diagonal (abelian) Wilson loop in the topological field theory (studied in
the previous article) converges to that of the full non-Abelian Wilson loop in
the limit of large Wilson loop. Therefore, within the above reformulation of
QCD, this result (together with the previous result) completes the proof of
quark confinement in QCD based on the criterion of the area law of the full
non-Abelian Wilson loop.Comment: 33 pages, Latex, no figures, version accepted for publication in
Phys. Rev. D (additions of sec. 4.5 and references, and minor changes
Scaling Regimes, Crossovers, and Lattice Corrections in 2D Heisenberg Antiferromagnets
We study scaling behavior in 2D, S=1/2 and S=1 Heisenberg antiferromagnets
using the data on full q-dependences of the equal time structure factor and the
static susceptibility, calculated through high temperature expansions. We also
carry out comparisons with a model of two coupled S=1/2 planes with the
interlayer coupling tuned to the T=0 critical point. We separately determine
the spin-wave velocity c and mass , in addition to the correlation
length, , and find that c is temperature dependent; only for T\alt JS,
it approaches its known T=0 value . Despite this temperature dependent
spin-wave velocity, full q- and -dependences of the dynamical
susceptibility agree with the universal scaling functions
computable for the -model, for temperatures upto .
Detailed comparisons show that below the S=1 model is in the renormalized
classical (RC) regime, the two plane model is in the quantum critical (QC)
regime, and the S=1/2 model exhibits a RC-QC crossover, centered at T=0.55J. In
particular, for the S=1/2 model above this crossover and for the two-plane
model at all T, the spin-wave mass is in excellent agreement with the universal
QC prediction, . In contrast, for the S=1/2 model below the
RC-QC crossover, and for the S=1 model at all T, the behavior agrees with the
known RC expression. For all models nonuniversal behavior occurs above . Our results strongly support the conjecture of Chubukov and Sachdev
that the S=1/2 model is close to the T=0 critical point to exhibit QC behavior.Comment: 13 pages, REVTeX with attached PostScript (see file for addl info
On the gauge and BRST invariance of the chiral QED with Faddeevian anomaly
Chiral Schwinger model with the Faddeevian anomaly is considered. It is found
that imposing a chiral constraint this model can be expressed in terms of
chiral boson. The model when expressed in terms of chiral boson remains
anomalous and the Gauss law of which gives anomalous Poisson brackets between
itself. In spite of that a systematic BRST quantization is possible. The
Wess-Zumino term corresponding to this theory appears automatically during the
process of quantization. A gauge invariant reformulation of this model is also
constructed. Unlike the former one gauge invariance is done here without any
extension of phase space. This gauge invariant version maps onto the vector
Schwinger model.The gauge invariant version of the chiral Schwinger model for
has a massive field with identical mass however gauge invariant version
obtained here does not map on to that.Comment: 11 pages latex, no figures, A little change in Title and abstrac
Graphene: new bridge between condensed matter physics and quantum electrodynamics
Graphene is the first example of truly two-dimensional crystals - it's just
one layer of carbon atoms. It turns out to be a gapless semiconductor with
unique electronic properties resulting from the fact that charge carriers in
graphene demonstrate charge-conjugation symmetry between electrons and holes
and possess an internal degree of freedom similar to ``chirality'' for
ultrarelativistic elementary particles. It provides unexpected bridge between
condensed matter physics and quantum electrodynamics (QED). In particular, the
relativistic Zitterbewegung leads to the minimum conductivity of order of
conductance quantum in the limit of zero doping; the concept of Klein
paradox (tunneling of relativistic particles) provides an essential insight
into electron propagation through potential barriers; vacuum polarization
around charge impurities is essential for understanding of high electron
mobility in graphene; index theorem explains anomalous quantum Hall effect.Comment: misprints are fixed; to appear in special issue of Solid State
Communication
Peierls transition in the presence of finite-frequency phonons in the one-dimensional extended Peierls-Hubbard model at half-filling
We report quantum Monte Carlo (stochastic series expansion) results for the
transition from a Mott insulator to a dimerized Peierls insulating state in a
half-filled, 1D extended Hubbard model coupled to optical bond phonons. Using
electron-electron (e-e) interaction parameters corresponding approximately to
polyacetylene, we show that the Mott-Peierls transition occurs at a finite
value of the electron-phonon (e-ph) coupling. We discuss several different
criteria for detecting the transition and show that they give consistent
results. We calculate the critical e-ph coupling as a function of the bare
phonon frequency and also investigate the sensitivity of the critical coupling
to the strength of the e-e interaction. In the limit of strong e-e couplings,
we map the model to a spin-Peierls chain and compare the phase boundary with
previous results for the spin-Peierls transition. We point out effects of a
nonlinear spin-phonon coupling neglected in the mapping to the spin-Peierls
model.Comment: 7 pages, 5 figure
Status of the GAMMA-400 Project
The preliminary design of the new space gamma-ray telescope GAMMA-400 for the
energy range 100 MeV - 3 TeV is presented. The angular resolution of the
instrument, 1-2{\deg} at E{\gamma} ~100 MeV and ~0.01^{\circ} at E{\gamma} >
100 GeV, its energy resolution ~1% at E{\gamma} > 100 GeV, and the proton
rejection factor ~10E6 are optimized to address a broad range of science
topics, such as search for signatures of dark matter, studies of Galactic and
extragalactic gamma-ray sources, Galactic and extragalactic diffuse emission,
gamma-ray bursts, as well as high-precision measurements of spectra of
cosmic-ray electrons, positrons, and nuclei.Comment: 6 pages, 1 figure, 1 table, submitted to Advances in Space Researc
Classical Simulation of Relativistic Quantum Mechanics in Periodic Optical Structures
Spatial and/or temporal propagation of light waves in periodic optical
structures offers a rather unique possibility to realize in a purely classical
setting the optical analogues of a wide variety of quantum phenomena rooted in
relativistic wave equations. In this work a brief overview of a few optical
analogues of relativistic quantum phenomena, based on either spatial light
transport in engineered photonic lattices or on temporal pulse propagation in
Bragg grating structures, is presented. Examples include spatial and temporal
photonic analogues of the Zitterbewegung of a relativistic electron, Klein
tunneling, vacuum decay and pair-production, the Dirac oscillator, the
relativistic Kronig-Penney model, and optical realizations of non-Hermitian
extensions of relativistic wave equations.Comment: review article (invited), 14 pages, 7 figures, 105 reference