90 research outputs found
Thermal Two Point Function of a Heavy Muon in hot QED plasma within Bloch Nordsieck Approximation
The thermal propagator of a heavy muon propagating in a hot QED plasma is
examined within the Bloch-Nordsieck approximation, which is valid in the
infrared region. It is shown that the muon damping rate is finite, in contrast
to the lower-order calculation with hard thermal loop resummations taken into
account.Comment: 18 pages, RevTe
Purely perturbative Boltzmann equation for hot non-Abelian gauge theories
In the perturbation theory, trasnport phenomena in hot non-Abelian gauge
theories like QCD are often plagued with infrared singularities or
nonperturbative effects. We show, in the context of the Kadanoff & Baym
formalism, that there are certain nonequilibrium processes which are free from
such difficulties. For these processes, due to an interplay between the
macroscopic and microscopic physics, characteristic time scale (the mesoscale)
naturally enters as an infrared cutoff and purely perturbative description by
the Boltzmann equation is valid.Comment: 4 pages, revtex, to appear in Physical Review
Lifetimes of quasiparticles and collective excitations in hot QED plasmas
The perturbative calculation of the lifetime of fermion excitations in a QED
plasma at high temperature is plagued with infrared divergences which are not
eliminated by the screening corrections. The physical processes responsible for
these divergences are the collisions involving the exchange of longwavelength,
quasistatic, magnetic photons, which are not screened by plasma effects. The
leading divergences can be resummed in a non-perturbative treatement based on a
generalization of the Bloch-Nordsieck model at finite temperature. The
resulting expression of the fermion propagator is free of infrared problems,
and exhibits a {\it non-exponential} damping at large times: , where is the plasma
frequency and .Comment: LaTex file, 57 pages, 11 eps figures include
Non-perturbative dynamics of hot non-Abelian gauge fields: beyond leading log approximation
Many aspects of high-temperature gauge theories, such as the electroweak
baryon number violation rate, color conductivity, and the hard gluon damping
rate, have previously been understood only at leading logarithmic order (that
is, neglecting effects suppressed only by an inverse logarithm of the gauge
coupling). We discuss how to systematically go beyond leading logarithmic order
in the analysis of physical quantities. Specifically, we extend to
next-to-leading-log order (NLLO) the simple leading-log effective theory due to
Bodeker that describes non-perturbative color physics in hot non-Abelian
plasmas. A suitable scaling analysis is used to show that no new operators
enter the effective theory at next-to-leading-log order. However, a NLLO
calculation of the color conductivity is required, and we report the resulting
value. Our NLLO result for the color conductivity can be trivially combined
with previous numerical work by G. Moore to yield a NLLO result for the hot
electroweak baryon number violation rate.Comment: 20 pages, 1 figur
Dynamical Renormalization Group Approach to Quantum Kinetics in Scalar and Gauge Theories
We derive quantum kinetic equations from a quantum field theory implementing
a diagrammatic perturbative expansion improved by a resummation via the
dynamical renormalization group. The method begins by obtaining the equation of
motion of the distribution function in perturbation theory. The solution of
this equation of motion reveals secular terms that grow in time, the dynamical
renormalization group resums these secular terms in real time and leads
directly to the quantum kinetic equation. We used this method to study the
relaxation in a cool gas of pions and sigma mesons in the O(4) chiral linear
sigma model. We obtain in relaxation time approximation the pion and sigma
meson relaxation rates. We also find that in large momentum limit emission and
absorption of massless pions result in threshold infrared divergence in sigma
meson relaxation rate and lead to a crossover behavior in relaxation. We then
study the relaxation of charged quasiparticles in scalar electrodynamics
(SQED). While longitudinal, Debye screened photons lead to purely exponential
relaxation, transverse photons, only dynamically screened by Landau damping
lead to anomalous relaxation, thus leading to a crossover between two different
relaxational regimes. We emphasize that infrared divergent damping rates are
indicative of non-exponential relaxation and the dynamical renormalization
group reveals the correct relaxation directly in real time. Finally we also
show that this method provides a natural framework to interpret and resolve the
issue of pinch singularities out of equilibrium and establish a direct
correspondence between pinch singularities and secular terms. We argue that
this method is particularly well suited to study quantum kinetics and transport
in gauge theories.Comment: RevTeX, 40 pages, 4 eps figures, published versio
Anomalous Pseudoscalar-Photon Vertex In and Out of Equilibrium
The anomalous pseudoscalar-photon vertex is studied in real time in and out
of equilibrium in a constituent quark model. The goal is to understand the
in-medium modifications of this vertex, exploring the possibility of enhanced
isospin breaking by electromagnetic effects as well as the formation of neutral
pion condensates in a rapid chiral phase transition in peripheral,
ultrarelativistic heavy-ion collisions. In equilibrium the effective vertex is
afflicted by infrared and collinear singularities that require hard thermal
loop (HTL) and width corrections of the quark propagator. The resummed
effective equilibrium vertex vanishes near the chiral transition in the chiral
limit. In a strongly out of equilibrium chiral phase transition we find that
the chiral condensate drastically modifies the quark propagators and the
effective vertex. The ensuing dynamics for the neutral pion results in a
potential enhancement of isospin breaking and the formation of
condensates. While the anomaly equation and the axial Ward identity are not
modified by the medium in or out of equilibrium, the effective real-time
pseudoscalar-photon vertex is sensitive to low energy physics.Comment: Revised version to appear in Phys. Rev. D. 42 pages, 4 figures, uses
Revte
Real-time nonequilibrium dynamics in hot QED plasmas: dynamical renormalization group approach
We study the real-time nonequilibrium dynamics in hot QED plasmas
implementing a dynamical renormalization group and using the hard thermal loop
(HTL) approximation. The focus is on the study of the relaxation of gauge and
fermionic mean fields and on the quantum kinetics of the photon and fermion
distribution functions. For semihard photons of momentum eT << k << T we find
to leading order in the HTL that the gauge mean field relaxes in time with a
power law as a result of infrared enhancement of the spectral density near the
Landau damping threshold. The dynamical renormalization group reveals the
emergence of detailed balance for microscopic time scales larger than 1/k while
the rates are still varying with time. The quantum kinetic equation for the
photon distribution function allows us to study photon production from a
thermalized quark-gluon plasma (QGP) by off-shell effects. We find that for a
QGP at temperature T ~ 200 MeV and of lifetime 10 < t < 50 fm/c the hard (k ~
T) photon production from off-shell bremsstrahlung (q -> q \gamma and \bar{q}
-> \bar{q}\gamma) at O(\alpha) grows logarithmically in time and is comparable
to that produced from on-shell Compton scattering and pair annihilation at
O(\alpha \alpha_s). Fermion mean fields relax as e^{-\alpha T t ln(\omega_P t)}
with \omega_P=eT/3 the plasma frequency, as a consequence of the emission and
absorption of soft magnetic photons. A quantum kinetic equation for hard
fermions is obtained directly in real time from a field theoretical approach
improved by the dynamical renormalization group. The collision kernel is
time-dependent and infrared finite.Comment: RevTeX, 46 pages, including 5 EPS figures, published versio
Transition rate for process involving particles with high momentum in a plasma and infrared physics for QED plasma
We derive a formula for computing the transition rate for a process involving
particles with momentum much higher than the temperature and chemical
potentials in a plasma by using an effective field theory approach. We apply it
to collision of charged particles with hard momentum inside a QED plasma. The
Debye screening effect and the damping of a charged particle moving in QED
plasma are studied. Using the Bloch-Nordsieck resummation, the infrared
divergences due to the absence of magnetic screening for QED plasma are shown
not to appear in physically measurable rates. The soft plasmon absorption and
emission for charged particles are discussed.Comment: 25 pages, revte
Screening of mass singularities and finite soft-photon production rate in hot QCD
The production rate of a soft photon from a hot quark-gluon plasma is
computed to leading order at logarithmic accuracy. The canonical
hard-thermal-loop resummation scheme leads to logarithmically divergent
production rate due to mass singularities. We show that these mass
singularities are screened by employing the effective hard-quark propagator,
which is obtained through resummation of one-loop self-energy part in a
self-consistent manner. The damping-rate part of the effective hard-quark
propagator, rather than the thermal-mass part, plays the dominant role of
screening mass singularities. Diagrams including photon--(hard-)quark vertex
corrections also yield leading contribution to the production rate.Comment: 41pages, Figures are not include
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