Real-time Relaxation of Condensates and Kinetics in Hot Scalar QED: Landau Damping
The real time evolution of field condensates with soft length scales ∼ k−1 > (eT )−1 is solved in hot scalar electrodynamics. We rederive the HTL effective action using the techniques of non-equilibrium field theory for small amplitude condensates. We find that transverse gauge invariant condensates relax as 1/t2 and longitudinal condensates associated with plasmon (charge density) excitations relax with 1/[t log t] behavior to asymptotic amplitudes that are determined by the quasiparticle poles. The relaxational dynamics and relevant time scales are determined by the global analytic structure of the retarded propagators. To leading order, the long-time behaviour is determined by the Landau discontinuities associated with off-shell processes. Landau damping follows from the contribution of such discontinuities. We derive the influence functional for the soft (gauge invariant) degrees of freedom by integrating out the hard scales in the HTL approximation and obtain consistently the Langevin equation, the relevant fluctuation-dissipation relation and identify the correlation functions that emerge in the classical limit. We point out that both the dissipative and noise kernels are long-ranged and a Markovian approximation fails to describe the dynamics both at short and long times. A novel kinetic approach is introduced that goes beyond the standard Boltzmann equation and incorporates off-shell processes in the description of relaxation of the distribution function. We find that the distribution function for soft quasiparticles relaxes with a power law through Landau damping. We also find an unusual dressing dynamics of bare particles and anomalous (logarithmic) relaxation of hard quasiparticles.

title: Theory at quark matter '02
abstract: I summarize theory at Quark Matter '02, stressing the continuing inability model to describe all notable features of the data from √ s /A: 55 → 200GeV

title: Soft Amplitudes in Hot Gauge Theories: A General Analysis
abstract: A systematic method for the calculation of amplitudes in hot gauge theories is developed. It is necessary to distinguish between hard momenta (of order T ) and soft momenta (of order gT ). Ordinary perturbation theory applies at hard momenta, but over soft momenta, effective propagators and vertices are required. These effective quantities resum the leading contributions from thermal fluctuations with hard virtual momenta. These “hard thermal loops” arise solely from subdiagrams at one-loop order: they are ultraviolet finite, gauge independent, and satisfy simple Ward identities. To illustrate the method we apply it to the quark and gluon self-energies. Ward identities are used to show that to one-loop order in this effective perturbation expansion, the two-point T -matrix elements constructed from the self-energies are gauge invariant. This proves that to leading order in g , the quark and gluon damping rates are gauge invariant.

title: Cool pions move at less than the speed of light
abstract: At nonzero temperature, pions propagate through a thermal medium at less than the speed of light. About low temperature, this effect begins not at $\sim T^2$, but at next to leading order, $\sim T^4$. We also derive the generalization of the relation of Gell-Mann, Oakes, and Renner to nonzero temperature.

title: Damping rates for moving particles in hot QCD.
abstract: Using a program of perturbative resummation I compute the damping rates for fields at nonzero spatial momentum to leading order in weak coupling in hot QCD. Sum rules for spectral densities are used to simplify the calculations. For massless fields the damping rate has an apparent logarithmic divergence in the infrared limit, which is cut off by the screening of static magnetic fields ("magnetic mass"). This demonstrates how at high temperature even perturbative quantities are sensitive to nonperturbative phenomena.

title: Nonabelian Debye screening, tsunami waves, and worldline fermions
abstract: I give a pedagogical review of the derivation for the effective lagrangian for nonabelian Debye screening, or hard thermal loops. Following Kelly, Liu, Lucchesi, and Manuel, I give the simplest derivation possible, using classical kinetic theory. 
The result is valid not just for a thermal, but for an arbitrary initial distributions. I use this to study the evolution, at short times, of a gluonic ``tsunami wave''. 
I also suggest how classical kinetic theory may arise at one loop order. Using the wordline representation of the one loop effective action, I follow D'Hoker and Gagn\'{e} to replace the Wilson line by an integral over worldline fermions. A bilinear of these worldline fermions naturally defines a nonabelian charge, whose equation of motion is Wong's equation.

title: The ROSAT HRI X-Ray Survey of the Cygnus Loop
abstract: We describe and report progress on the joint U.S. and German campaign to map the X-ray emission from the entire Cygnus Loop with the ROSAT High Resolution Imager. The Cygnus Loop is the prototype for a supernova remnant that is dominated by interactions with the interstellar medium and supplies fundamental physical information on this basic mechanism for shaping the interstellar medium. The global view that these high-resolution (FWHM ~ 10'') observations provide emphasizes the inhomogeneity of the interstellar medium and the pivotal nature of cloud-blast-wave interactions in determining the X-ray morphology of the supernova remnant. While investigating the details of the evolution of the blast wave, we also describe the interstellar medium in the vicinity of the Cygnus Loop, which the progenitor star has processed. Although we do not expect the X-ray observations to be complete until 1997 September, the incomplete data combined with deep Hα images provide definitive evidence that the Cygnus Loop was formed by an explosion within a preexisting cavity.