710 research outputs found
Casimir dependence of transverse distribution of pairs produced from a strong constant chromo-electric background field
The transverse distribution of gluon and quark-antiquark pairs produced from
a strong constant chromo-electric field depends on two gauge invariant
quantities, and , as shown earlier in
[G.C. Nayak and P. van Nieuwenhuizen, Phys. Rev. D 71, 125001 (2005)] for
gluons and in [G.C. Nayak, Phys. Rev. D 72, 125010 (2005)] for quarks. Here, we
discuss the explicit dependence of the distribution on the second Casimir
invariant, C_2, and show the dependence is at most a 15% effect.Comment: 5 fig
Quantum Electro and Chromodynamics treated by Thompson's heuristic approach
In this work we apply Thompson's method (of the dimensions and scales) to
study some features of the Quantum Electro and Chromodynamics. This heuristic
method can be considered as a simple and alternative way to the Renormalisation
Group (R.G.) approach and when applied to QED-lagrangian is able to obtain in a
first approximation both the running coupling constant behavior of alpha(mu)
and the mass m(mu).The calculations are evaluated just at d_c=4, where d_c is
the upper critical dimension of the problem, so that we obtain the logarithmic
behavior both for the coupling alpha and the excess of mass Delta m on the
energy scale mu. Although our results are well-known in the vast literature of
field theories,it seems that one of the advantages of Thompson's method, beyond
its simplicity is that it is able to extract directly from QED-lagrangian the
physical (finite) behavior of alpha(mu) and m(mu), bypassing hard problems of
divergences which normally appear in the conventional renormalisation schemes
applied to field theories like QED. Quantum Chromodynamics (QCD) is also
treated by the present method in order to obtain the quark condensate value.
Besides this, the method is also able to evaluate the vacuum pressure at the
boundary of the nucleon. This is done by assumming a step function behavior for
the running coupling constant of the QCD, which fits nicely to some quantities
related to the strong interaction evaluated through the MIT-bag model.Comment: RevTex, 25 pages, no figure
Singularity-Free Electrodynamics for Point Charges and Dipoles: Classical Model for Electron Self-Energy and Spin
It is shown how point charges and point dipoles with finite self-energies can
be accomodated into classical electrodynamics. The key idea is the introduction
of constitutive relations for the electromagnetic vacuum, which actually
mirrors the physical reality of vacuum polarization. Our results reduce to
conventional electrodynamics for scales large compared to the classical
electron radius cm. A classical simulation for a
structureless electron is proposed, with the appropriate values of mass, spin
and magnetic moment.Comment: 3 page
Quantum simulator for the Schwinger effect with atoms in bi-chromatic optical lattices
Ultra-cold atoms in specifically designed optical lattices can be used to
mimic the many-particle Hamiltonian describing electrons and positrons in an
external electric field. This facilitates the experimental simulation of (so
far unobserved) fundamental quantum phenomena such as the Schwinger effect,
i.e., spontaneous electron-positron pair creation out of the vacuum by a strong
electric field.Comment: 4 pages, 2 figures; minor corrections and improvements in text and in
figures; references adde
Effective action for Einstein-Maxwell theory at order RF**4
We use a recently derived integral representation of the one-loop effective
action in Einstein-Maxwell theory for an explicit calculation of the part of
the effective action containing the information on the low energy limit of the
five-point amplitudes involving one graviton, four photons and either a scalar
or spinor loop. All available identities are used to get the result into a
relatively compact form.Comment: 13 pages, no figure
Dynamically assisted Schwinger mechanism
We study electron-positron pair creation {from} the Dirac vacuum induced by a
strong and slowly varying electric field (Schwinger effect) which is
superimposed by a weak and rapidly changing electromagnetic field (dynamical
pair creation). In the sub-critical regime where both mechanisms separately are
strongly suppressed, their combined impact yields a pair creation rate which is
{dramatically} enhanced. Intuitively speaking, the strong electric field lowers
the threshold for dynamical particle creation -- or, alternatively, the fast
electromagnetic field generates additional seeds for the Schwinger mechanism.
These findings could be relevant for planned ultra-high intensity lasers.Comment: 4 pages, 2 figure
Thermally-induced vacuum instability in a single plane wave
Ever since Schwinger published his influential paper [J. Schwinger, Phys.
Rev. \textbf{82}, 664 (1951)], it has been unanimously accepted that the vacuum
is stable in the presence of an electromagnetic plane wave. However, we advance
an analysis that indicates this statement is not rigorously valid in a real
situation, where thermal effects are present. We show that the thermal vacuum,
in the presence of a single plane-wave field, even in the limit of zero
frequency (a constant crossed field), decays into electron-positron pairs.
Interestingly, the pair-production rate is found to depend nonperturbatively on
both the amplitude of the constant crossed field and on the temperature.Comment: 5 pages, 3 figure
Sauter-Schwinger like tunneling in tilted Bose-Hubbard lattices in the Mott phase
We study the Mott phase of the Bose-Hubbard model on a tilted lattice. On the
(Gutzwiller) mean-field level, the tilt has no effect -- but quantum
fluctuations entail particle-hole pair creation via tunneling. For small
potential gradients (long-wavelength limit), we derive a quantitative analogy
to the Sauter-Schwinger effect, i.e., electron-positron pair creation out of
the vacuum by an electric field. For large tilts, we obtain resonant tunneling
related to Bloch oscillations.Comment: 4 pages, 1 figur
Timelapse
We discuss the existence in an arbitrary frame of a finite time for the
transformation of an initial quantum state into another e.g. in a decay.
This leads to the introduction of a timelapse in analogy with
the lifetime of a particle. An argument based upon the Heisenberg uncertainty
principle suggests the value of . Consequences for the
exponential decay formula and the modifications that introduces
into the Breit-Wigner mass formula are described.Comment: 5 pages [2 figs], ReV-Te
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