1,381 research outputs found
Chiral symmetry in lattice QCD
A chiral invariant effective action for lattice QCD is proposed. Its
connection to the multifermion model is established. A possibility of using
this action for computer simulations is discussed.Comment: 3 pages, Lattice 2000(chiral fermions
Patterns of Lorentz symmetry breaking in QED by CPT-odd interaction
A tiny Lorentz symmetry breaking can be mediated in Electrodynamics by means
of the Chern-Simons (CS) interaction polarized along a constant CS vector. Its
presence makes the vacuum optically active that has been recently estimated
from astrophysical data. We examine two possibilities for the CS vector to be
time-like or space-like, under the assumption that it originates from v.e.v. of
some pseudoscalar matter. It is shown that: a) a time-like CS vector makes the
vacuum unstable under pairs creation of tachyonic photon modes with the finite
vacuum decay rate, i.e. it is unlikely realized at macroscopic time scales; b)
on the contrary, the space-like CS vector does not yield any tachyonic modes
and, moreover, if its dynamical counterpart is substantially described by a
scale invariant interaction, then the QED radiation effects induce the
dynamical breaking of Lorentz symmetry, i.e. the occurrence of space-like CS
vector appears to be rather natural.Comment: 9 pages, LaTeX, version to appear in Phys.Lett.
Three-body decays: structure, decay mechanism and fragment properties
We discuss the three-body decay mechanisms of many-body resonances. R-matrix
sequential description is compared with full Faddeev computation. The role of
the angular momentum and boson symmetries is also studied. As an illustration
we show the computed -particle energy distribution after the decay of
12C(1^+) resonance at 12.7 MeV.Comment: 4 pages, 3 figures. Proceedings of the workshop "Critical Stability
of Few-Body Quantum Systems" 200
Lattice QCD with Exponentially Small Chirality Breaking
A new multifermion formulation of lattice QCD is proposed. The model is free
of spectrum doubling and preserves all nonanomalous chiral symmetries up to
exponentially small corrections. It is argued that a small number of fermion
fields may provide a good approximation making computer simulations feasible.Comment: 14 pages, no figures; typos correcte
Entanglement of a Single Spin-1 Object: An Example of Ubiquitous Entanglement
Using a single spin-1 object as an example, we discuss a recent approach to
quantum entanglement. The key idea of the approach consists in presetting of
basic observables in the very definition of quantum system. Specification of
basic observables defines the dynamic symmetry of the system. Entangled states
of the system are then interpreted as states with maximal amount of uncertainty
of all basic observables. The approach gives purely physical picture of
entanglement. In particular, it separates principle physical properties of
entanglement from inessential. Within the model example under consideration, we
show relativity of entanglement with respect to dynamic symmetry and argue
existence of single-particle entanglement. A number of physical examples are
considered.Comment: 12 pages, 2 figure : title has been changed, paper is re-organized,
new section "Violation of Bell-type condition by single spin-1" is adde
Quantum theory as a relevant framework for the statement of probabilistic and many-valued logic
Based on ideas of quantum theory of open systems we propose the consistent
approach to the formulation of logic of plausible propositions. To this end we
associate with every plausible proposition diagonal matrix of its likelihood
and examine it as density matrix of relevant quantum system. We are showing
that all logical connectives between plausible propositions can be represented
as special positive valued transformations of these matrices. We demonstrate
also the above transformations can be realized in relevant composite quantum
systems by quantum engineering methods. The approach proposed allows one not
only to reproduce and generalize results of well-known logical systems
(Boolean, Lukasiewicz and so on) but also to classify and analyze from unified
point of view various actual problems in psychophysics and social sciences.Comment: 7 page
Foreground removal from WMAP 7yr polarization maps using an MLP neural network
One of the fundamental problems in extracting the cosmic microwave background
signal (CMB) from millimeter/submillimeter observations is the pollution by
emission from the Milky Way: synchrotron, free-free, and thermal dust emission.
To extract the fundamental cosmological parameters from CMB signal, it is
mandatory to minimize this pollution since it will create systematic errors in
the CMB power spectra. In previous investigations, it has been demonstrated
that the neural network method provide high quality CMB maps from temperature
data. Here the analysis is extended to polarization maps. As a concrete
example, the WMAP 7-year polarization data, the most reliable determination of
the polarization properties of the CMB, has been analysed. The analysis has
adopted the frequency maps, noise models, window functions and the foreground
models as provided by the WMAP Team, and no auxiliary data is included. Within
this framework it is demonstrated that the network can extract the CMB
polarization signal with no sign of pollution by the polarized foregrounds. The
errors in the derived polarization power spectra are improved compared to the
errors derived by the WMAP Team.Comment: Accepted for publication in Astrophysics & Space Scienc
Entanglement entropies in free fermion gases for arbitrary dimension
We study the entanglement entropy of connected bipartitions in free fermion
gases of N particles in arbitrary dimension d. We show that the von Neumann and
Renyi entanglement entropies grow asymptotically as N^(1-1/d) ln N, with a
prefactor that is analytically computed using the Widom conjecture both for
periodic and open boundary conditions. The logarithmic correction to the
power-law behavior is related to the area-law violation in lattice free
fermions. These asymptotic large-N behaviors are checked against exact
numerical calculations for N-particle systems.Comment: 6 pages, 9 fig
One-loop effective action for Einstein gravity in special background gauge
The one-loop effective action for Einstein gravity in a special one-parameter
background gauge is calculated up to first order in a gauge parameter. It is
shown that the effective action does not depend upon the gauge parameter on
shell.Comment: 17 pages, Latex, no figure
Bogomol'nyi equations for solitons in Maxwell-Chern-Simons gauge theories with the magnetic moment interaction term
Without assuming rotational invariance, we derive Bogomol'nyi equations for
the solitons in the abelian Chern-Simons gauge theories with the anomalous
magnetic moment interaction. We also evaluate the number of zero modes around a
static soliton configuration.Comment: 9 pages, Revtex, SNUTP-94/6
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