693 research outputs found
Two-particle irreducible effective action approach to nonlinear current conserving approximations in driven systems
Using closed-time path two-particle irreducible coarse-grained effective
action (CTP 2PI CGEA) techniques, we study the response of an open interacting
electronic system to time-dependent external electromagnetic fields. We show
that the CTP 2PI CGEA is invariant under a simultaneous gauge transformation of
the external field and the full Schwinger-Keldysh propagator, and that this
property holds even when the loop expansion of the CTP 2PI CGEA is truncated at
arbitrary order. The effective action approach provides a systematic way of
calculating the propagator and response functions of the system, via the
Schwinger-Dyson equation and the Bethe-Salpeter equations, respectively. We
show that, due to the invariance of the CTP 2PI CGEA under external gauge
transformations, the response functions calculated from it satisfy the
Ward-Takahashi hierarchy, thus warranting the conservation of the electronic
current beyond the expectation value level. We also clarify the connection
between nonlinear response theory and the WT hierarchy, and discuss an example
of an ad hoc approximation that violate it. These findings may be useful in the
study of current fluctuations in correlated electronic pumping devices.Comment: 30 pages. Accepted for publication in JPC
Mode decomposition and renormalization in semiclassical gravity
We compute the influence action for a system perturbatively coupled to a
linear scalar field acting as the environment. Subtleties related to
divergences that appear when summing over all the modes are made explicit and
clarified. Being closely connected with models used in the literature, we show
how to completely reconcile the results obtained in the context of stochastic
semiclassical gravity when using mode decomposition with those obtained by
other standard functional techniques.Comment: 4 pages, RevTeX, no figure
Semiclassical Effects and the Onset of Inflation
We present a class of exact solutions to the constraint equations of General
Relativity coupled to a Klein - Gordon field, these solutions being isotropic
but not homogeneous. We analyze the subsequent evolution of the consistent
Cauchy data represented by those solutions, showing that only certain special
initial conditions eventually lead to successfull Inflationary cosmologies. We
argue, however, that these initial conditions are precisely the likely outcomes
of quantum events occurred before the inflationary era.Comment: 22 pages, file written in RevTe
Stochastic Gross-Pitaevsky Equation for BEC via Coarse-Grained Effective Action
We sketch the major steps in a functional integral derivation of a new set of
Stochastic Gross-Pitaevsky equations (GPE) for a Bose-Einstein condensate (BEC)
confined to a trap at zero temperature with the averaged effects of
non-condensate modes incorporated as stochastic sources. The closed-time-path
(CTP) coarse-grained effective action (CGEA) or the equivalent influence
functional method is particularly suitable because it can account for the full
back-reaction of the noncondensate modes on the condensate dynamics
self-consistently. The Langevin equations derived here containing nonlocal
dissipation together with colored and multiplicative noises are useful for a
stochastic (as distinguished from say, a kinetic) description of the
nonequilibrium dynamics of a BEC. This short paper contains original research
results not yet published anywhere.Comment: 6 page
FRW cosmologies between chaos and integrability
A recent paper by Castagnino, Giacomini and Lara concludes that there is no
chaos in a conformally coupled closed Friedmann-Robertson-Walker universe,
which is in apparent contradiction with previous works. We point out that
although nonchaotic the quoted system is nonintegrable.Comment: Revtex, 2 pages, no figure
Stochastic semiclassical cosmological models
We consider the classical stochastic fluctuations of spacetime geometry
induced by quantum fluctuations of massless non-conformal matter fields in the
Early Universe. To this end, we supplement the stress-energy tensor of these
fields with a stochastic part, which is computed along the lines of the
Feynman-Vernon and Schwinger-Keldysh techniques; the Einstein equation is
therefore upgraded to a so called Einstein-Langevin equation. We consider in
some detail the conformal fluctuations of flat spacetime and the fluctuations
of the scale factor in a simple cosmological modelintroduced by Hartle, which
consists of a spatially flat isotropic cosmology driven by radiation and dust.Comment: 29 pages, no figures, ReVTeX fil
Quantum Fields in Nonstatic background: A Histories Perspective
For a quantum field living on a non - static spacetime no instantaneous
Hamiltonian is definable, for this generically necessitates a choice of
inequivalent representation of the canonical commutation relations at each
instant of time. This fact suggests a description in terms of time - dependent
Hilbert spaces, a concept that fits naturally in a (consistent) histories
framework. Our primary tool for the construction of the quantum theory in a
continuous -time histories format is the recently developed formalism based on
the notion of the history group . This we employ to study a model system
involving a 1+1 scalar field in a cavity with moving boundaries.
The instantaneous (smeared) Hamiltonian and a decoherence functional are then
rigorously defined so that finite values for the time - averaged particle
creation rate are obtainable through the study of energy histories. We also
construct the Schwinger - Keldysh closed- time - path generating functional as
a ``Fourier transform'' of the decoherence functional and evaluate the
corresponding n - point functions.Comment: 27 pages, LATEX; minor changes and corrections; version to appear in
JM
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