198 research outputs found
On radiative damping in plasma-based accelerators
Radiative damping in plasma-based electron accelerators is analyzed. The
electron dynamics under combined influence of the constant accelerating force
and the classical radiation reaction force is studied. It is shown that
electron acceleration cannot be limited by radiation reaction. If initially the
accelerating force was stronger than the radiation reaction force then the
electron acceleration is unlimited. Otherwise the electron is decelerated by
radiative damping up to a certain instant of time and then accelerated without
limits. Regardless of the initial conditions the infinite-time asymptotic
behavior of an electron is governed by self-similar solution providing
unlimited acceleration. The relative energy spread induced by the radiative
damping decreases with time in the infinite-time limit
Radiative Losses in Plasma Accelerators
We investigate the dynamics of a relativistic electron in a strongly
nonlinear plasma wave in terms of classical mechanics by taking into account
the action of the radiative reaction force. The two limiting cases are
considered. In the first case where the energy of the accelerated electrons is
low, the electron makes many betatron oscillations during the acceleration. In
the second case where the energy of the accelerated electrons is high, the
betatron oscillation period is longer than the electron residence time in the
accelerating phase. We show that the force of radiative friction can severely
limit the rate of electron acceleration in a plasma accelerator.Comment: 17 pages, 5 figure
On Nonperturbative Calculations in Quantum Electrodynamics
A new approach to nonperturbative calculations in quantum electrodynamics is
proposed. The approach is based on a regular iteration scheme for solution of
Schwinger-Dyson equations for generating functional of Green functions. The
approach allows one to take into account the gauge invariance conditions (Ward
identities) and to perform the renormalization program. The iteration scheme
can be realized in two versions. The first one ("perturbative vacuum")
corresponds to chain summation in the diagram language. In this version in
four-dimensional theory the non-physical singularity (Landau pole) arises which
leads to the triviality of the renormalized theory. The second version
("nonperturbative vacuum") corresponds to ladder summation and permits one to
make non-perturbative calculations of physical quantities in spite of the
triviality problem. For chiral-symmetrical leading approximation two terms of
the expansion of the first-step vertex function over photon momentum are
calculated. A formula for anomalous magnetic moment is obtained. A problem of
dynamical chiral symmetry breaking (DCSB) is considered, the calculations are
performed for renormalized theory in Minkowsky space. In the strong coupling
region DCSB-solutions arise. For the renormalized theory a DCSB-solution is
also possible in the weak coupling region but with a subsidiary condition on
the value of .Comment: 31 pages, Plain LaTex, no figures. Journal version: some discussion
and refs. are adde
Role of causality in ensuring unconditional security of relativistic quantum cryptography
The problem of unconditional security of quantum cryptography (i.e. the
security which is guaranteed by the fundamental laws of nature rather than by
technical limitations) is one of the central points in quantum information
theory. We propose a relativistic quantum cryptosystem and prove its
unconditional security against any eavesdropping attempts. Relativistic
causality arguments allow to demonstrate the security of the system in a simple
way. Since the proposed protocol does not employ collective measurements and
quantum codes, the cryptosystem can be experimentally realized with the present
state-of-art in fiber optics technologies. The proposed cryptosystem employs
only the individual measurements and classical codes and, in addition, the key
distribution problem allows to postpone the choice of the state encoding scheme
until after the states are already received instead of choosing it before
sending the states into the communication channel (i.e. to employ a sort of
``antedate'' coding).Comment: 9 page
Scenario for Ultrarelativistic Nuclear Collisions: Space--Time Picture of Quantum Fluctuations and the Birth of QGP
We study the dynamics of quantum fluctuations which take place at the
earliest stage of high-energy processes and the conditions under which the data
from e-p deep-inelastic scattering may serve as an input for computing the
initial data for heavy-ion collisions at high energies. Our method is
essentially based on the space-time picture of these seemingly different
phenomena. We prove that the ultra-violet renormalization of the virtual loops
does not bring any scale into the problem. The scale appears only in connection
with the collinear cut-off in the evolution equations and is defined by the
physical properties of the final state. In heavy-ion collisions the basic
screening effect is due to the mass of the collective modes (plasmons) in the
dense non-equilibrium quark-gluon system, which is estimated. We avoid the
standard parton phenomenology and suggest a dedicated class of evolution
equations which describe the dynamics of quantum fluctuations in heavy-ion
collisions.Comment: 54 pages, 11 Postscript figures, uses RevTe
Short-Wave Excitations in Non-Local Gross-Pitaevskii Model
It is shown, that a non-local form of the Gross-Pitaevskii equation allows to
describe not only the long-wave excitations, but also the short-wave ones in
the systems with Bose-condensate. At given parameter values, the excitation
spectrum mimics the Landau spectrum of quasi-particle excitations in superfluid
Helium with roton minimum. The excitation wavelength, at which the roton
minimum exists, is close to the inter-particle interaction range. It is shown,
that the existence domain of the spectrum with a roton minimum is reduced, if
one accounts for an inter-particle attraction.Comment: 5 pages, 5 figures, UJP style; presented at Bogolyubov Kyiv
Conference "Modern Problems of Theoretical and Mathematical Physics",
September 15-18, 200
Casimir type effects for scalar fields interacting with material slabs
We study the field theoretical model of a scalar field in presence of spacial
inhomogeneities in form of one and two finite width mirrors (material slabs).
The interaction of the scalar field with the defect is described with
position-dependent mass term. For the single layer system we develop a rigorous
calculation method and derive explicitly the propagator of the theory, S-matrix
elements and the Casimir self-energy of the slab. Detailed investigation of
particular limits of self-energy is presented, and connection to know cases is
discussed. The calculation method is found applicable to the two mirrors case
as well. By means of it we derive the corresponding Casimir energy and analyze
it. For particular values of the parameters of the model the obtained results
recover the Lifshitz formula. We also propose a procedure to obtain
unambiguously the finite Casimir \textit{self}-energy of a single slab without
reference to any renormalizations. We hope that our approach can be applied to
calculation of Casimir self-energies in other demanded cases (such as
dielectric ball, etc.)Comment: 22 pages, 3 figures, published version, significant changes in
Section 4.
Precision Measurement of the Weak Mixing Angle in Moller Scattering
We report on a precision measurement of the parity-violating asymmetry in
fixed target electron-electron (Moller) scattering: A_PV = -131 +/- 14 (stat.)
+/- 10 (syst.) parts per billion, leading to the determination of the weak
mixing angle \sin^2\theta_W^eff = 0.2397 +/- 0.0010 (stat.) +/- 0.0008 (syst.),
evaluated at Q^2 = 0.026 GeV^2. Combining this result with the measurements of
\sin^2\theta_W^eff at the Z^0 pole, the running of the weak mixing angle is
observed with over 6 sigma significance. The measurement sets constraints on
new physics effects at the TeV scale.Comment: 4 pages, 2 postscript figues, submitted to Physical Review Letter
Correlational Origin of the Roton Minimum
We present compelling evidence supporting the conjecture that the origin of
the roton in Bose-condensed systems arises from strong correlations between the
constituent particles. By studying the two dimensional bosonic dipole systems a
paradigm, we find that classical molecular dynamics (MD) simulations provide a
faithful representation of the dispersion relation for a low- temperature
quantum system. The MD simulations allow one to examine the effect of coupling
strength on the formation of the roton minimum and to demonstrate that it is
always generated at a sufficiently high enough coupling. Moreover, the
classical images of the roton-roton, roton-maxon, etc. states also appear in
the MD simulation spectra as a consequence of the strong coupling.Comment: 7 pages, 4 figure
Monopole Vacuum in Non-Abelian Theories
It is shown that, in the theory of interacting Yang -Mills fields and a Higgs
field, there is a topological degeneracy of Bogomol'nyi-Prasad-Sommerfield
(BPS) monopoles and that there arises, in this case, a chromoelectric monopole
characterized by a new topological variable that describes transitions between
topological states of the monopole in the Minkowski space (in just the same way
as an instanton describes such transitions in the Euclidean space). The limit
of an infinitely large mass of the Higgs field at a finite density of the BPS
monopole is considered as a model of the stable vacuum in the pure Yang-Mills
theory. It is shown that, in QCD, such a monopole vacuum may lead to a rising
potential, a topological confinement and an additional mass of the
meson. The relationship between the result obtained here for the generating
functional of perturbation theory and Faddeev-Popov integral is discussed
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