270 research outputs found
Non-abelian plasma instabilities for strong anisotropy
We numerically investigate gauge field instabilities in anisotropic SU(2)
plasmas using weak field initial conditions. The growth of unstable modes is
stopped by non-abelian effects for moderate anisotropy. If we increase the
anisotropy the growth continues beyond the non-abelian saturation bound. We
find strong indications that the continued growth is not due to over-saturation
of infrared field modes, but instead due to very rapid growth of high momentum
modes which are not unstable in the weak field limit. The saturation amplitude
strongly depends on the initial conditions. For strong initial fields we do not
observe the sustained growth.Comment: 28 pages, 17 figure
Fluctuations from dissipation in a hot non-Abelian plasma
We consider a transport equation of the Boltzmann-Langevin type for
non-Abelian plasmas close to equilibrium to derive the spectral functions of
the underlying microscopic fluctuations from the entropy. The correlator of the
stochastic source is obtained from the dissipative processes in the plasma.
This approach, based on classical transport theory, exploits the well-known
link between a linearized collision integral, the entropy and the spectral
functions. Applied to the ultra-soft modes of a hot non-Abelian (classical or
quantum) plasma, the resulting spectral functions agree with earlier findings
obtained from the microscopic theory. As a by-product, it follows that
B\"odeker's effective theory is consistent with the fluctuation-dissipation
theorem.Comment: 9 pages, revtex, no figures, identical to published versio
Hard thermal loops for soft or collinear external momenta
We consider finite temperature 1-loop diagrams with hard loop momenta and an
arbitrary number of external gauge fields when the external momenta are either
soft, or near the light cone and nearly collinear with the loop momentum. We
obtain a recursion relation for these diagrams which we translate into an
equation for their generating functional. By integrating out the soft fields
while keeping two collinear ones we find an integral equation, originally due
to Arnold, Moore, and Yaffe, which sums the bremsstrahlung and pair
annihilation contribution to the thermal photon production rate.Comment: 17 pages, title corrected, clarifying paragraph added to the
appendix, version to appear in JHE
High temperature color conductivity at next-to-leading log order
The non-Abelian analog of electrical conductivity at high temperature has
previously been known only at leading logarithmic order: that is, neglecting
effects suppressed only by an inverse logarithm of the gauge coupling. We
calculate the first sub-leading correction. This has immediate application to
improving, to next-to-leading log order, both effective theories of
non-perturbative color dynamics, and calculations of the hot electroweak baryon
number violation rate.Comment: 47 pages, 6+2 figure
Color conductivity and ladder summation in hot QCD
The color conductivity is computed at leading logarithmic order using a Kubo
formula. We show how to sum an infinite series of planar ladder diagrams,
assuming some approximations based on the dominance of soft scattering
processes between hard particles in the plasma. The result agrees with the one
obtained previously from a kinetical approach.Comment: 15 pages, 4 figures. Explanations enlarged, two figures and some refs
added, typos corrected. Final version to be published in Phys.Rev.
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
On the photoproduction of jets at HERA
We discuss the inclusive jet production at HERA in the next-to-leading
logarithm approximation. Theoretical uncertainties are considered in some
details. We show the importance of the jet rapidity distribution to constrain
the parton densities in the photon. A comparison is made with the recent H1
data.Comment: 10 + 7 figures included uuencoded tar-compressed
([email protected]) , ENSLAPP-A-484/94, LPTHE Orsay 94-8
A remark on non-Abelian classical kinetic theory
It is known that non-Abelian classical kinetic theory reproduces the Hard
Thermal/Dense Loop (HTL/HDL) effective action of QCD, obtained after
integrating out the hardest momentum scales from the system, as well as the
first higher dimensional operator beyond the HTL/HDL level. We discuss here its
applicability at still higher orders, by comparing the exact classical
effective action obtained in the static limit, with the 1-loop quantum
effective potential. We remark that while correct types of operators arise, the
classical colour algebra reproduces correctly the prefactor of the 4-point
function only for matter in asymptotically high dimensional colour
representations.Comment: 6 page
Electroweak Baryogenesis with dimension-6 Higgs interactions
We present the computation of the baryon asymmetry in the SM amplified by
dimension-6 Higgs interactions using the WKB approximation. Analyzing the
one-loop potential it turns out that the phase transition is strongly first
order in a wide range of the parameters. It is ensured not to wash out the net
baryon number gained previously even for Higgs masses up to at least 170 GeV.
In addition dimension-6 operators induce new sources of CP violation. Novel
source terms which enhance the generated baryon asymmetry emerge in the
transport equations. This model predicts a baryon to entropy ratio close to the
observed value for a large part of the parameter space.Comment: 10 pages, 4 figures, Talk given at the 8th International Moscow
School of Physic
Chern-Simons Number Diffusion and Hard Thermal Loops on the Lattice
We develop a discrete lattice implementation of the hard thermal loop
effective action by the method of added auxiliary fields. We use the resulting
model to measure the sphaleron rate (topological susceptibility) of Yang-Mills
theory at weak coupling. Our results give parametric behavior in accord with
the arguments of Arnold, Son, and Yaffe, and are in quantitative agreement with
the results of Moore, Hu, and Muller.Comment: 43 pages, 6 figure
- …