1,067,754 research outputs found
Lessons from Non-Abelian Plasma Instabilities in Two Spatial Dimensions
Plasma instabilities can play a fundamental role in quark-gluon plasma
equilibration in the high energy (weak coupling) limit. Early simulations of
the evolution of plasma instabilities in non-abelian gauge theory, performed in
one spatial dimension, found behavior qualitatively similar to traditional QED
plasmas. Later simulations of the fully three-dimensional theory found
different behavior, unlike traditional QED plasmas. To shed light on the origin
of this difference, we study the intermediate case of two spatial dimensions.
Depending on how the "two-dimensional'' theory is formulated, we can obtain
either behavior.Comment: 15 pages, 10 figure
Spectral density of the quantum Ising model in two fields: Gaussian and multi-Gaussian approximations
Spectral density of quantum Ising model in two fields for large but finite
number of spins , is discussed in detail. When all coupling constants are of
the same order, spectral densities in the bulk are well approximated by a
Gaussian function which is typical behaviour for many-body models with
short-range interactions. The main part of the paper is devoted to the
investigation of a different characteristic case when spectral densities have
peaks related with strong degeneracies of unperturbed states in certain limits
of coupling constants. In the strict limit , peaks overlap and
disappear but for values of accessible in numerical calculations they often
strongly influence spectral densities and other quantities as well. A simple
method is developed which permits to find general approximation formulae for
multi-peak structure of spectral density in good agreement with numerics.Comment: 32 pages, 13 figure
Heavy Thresholds, Slepton Masses and the Term in Anomaly Mediated Supersymmetry Breaking
The effects of heavy mass thresholds on anomaly-mediated soft supersymmetry
breaking terms are discussed. While heavy thresholds completely decouple to
lowest order in the supersymmetry breaking, it is argued that they do affect
the breaking terms at higher orders. The relevant contributions typically occur
at lower order in the loop expansion compared to purely anomaly mediated
contributions. The non decoupling contributions may be used to render models in
which the only source of supersymmetry breaking is anomaly mediation viable, by
generating positive contributions to the sleptons' masses squared. They can
also be used to generate acceptable mu- and B-terms.Comment: 25 pages, late
Noncollinear magnetic order in quasicrystals
Based on Monte-Carlo simulations, the stable magnetization configurations of
an antiferromagnet on a quasiperiodic tiling are derived theoretically. The
exchange coupling is assumed to decrease exponentially with the distance
between magnetic moments. It is demonstrated that the superposition of
geometric frustration with the quasiperiodic ordering leads to a
three-dimensional noncollinear antiferromagnetic spin structure. The structure
can be divided into several ordered interpenetrating magnetic supertilings of
different energy and characteristic wave vector. The number and the symmetry of
subtilings depend on the quasiperiodic ordering of atoms.Comment: RevTeX, 4 pages, 5 low-resolution color figures (due to size
restrictions); to appear in Physical Review Letter
The Abelianization of QCD Plasma Instabilities
QCD plasma instabilities appear to play an important role in the
equilibration of quark-gluon plasmas in heavy-ion collisions in the theoretical
limit of weak coupling (i.e. asymptotically high energy). It is important to
understand what non-linear physics eventually stops the exponential growth of
unstable modes. It is already known that the initial growth of plasma
instabilities in QCD closely parallels that in QED. However, once the unstable
modes of the gauge-fields grow large enough for non-Abelian interactions
between them to become important, one might guess that the dynamics of QCD
plasma instabilities and QED plasma instabilities become very different. In
this paper, we give suggestive arguments that non-Abelian self-interactions
between the unstable modes are ineffective at stopping instability growth, and
that the growing non-Abelian gauge fields become approximately Abelian after a
certain stage in their growth. This in turn suggests that understanding the
development of QCD plasma instabilities in the non-linear regime may have close
parallels to similar processes in traditional plasma physics. We conjecture
that the physics of collisionless plasma instabilities in SU(2) and SU(3) gauge
theory becomes equivalent, respectively, to (i) traditional plasma physics,
which is U(1) gauge theory, and (ii) plasma physics of U(1)x U(1) gauge theory.Comment: 36 pages; 15 figures [minor changes made to text, and new figure
added, to reflect published version
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