1,108 research outputs found
Perturbative and Nonperturbative Kolmogorov Turbulence in a Gluon Plasma
In numerical simulations of nonabelian plasma instabilities in the hard-loop
approximation, a turbulent spectrum has been observed that is characterized by
a phase-space density of particles with exponent , which is larger than expected from relativistic
scatterings. Using the approach of Zakharov, L'vov and Falkovich, we analyse
possible Kolmogorov coefficients for relativistic -particle
processes, which give at most perturbatively for an energy cascade.
We discuss nonperturbative scenarios which lead to larger values. As an extreme
limit we find the result generically in an inherently nonperturbative
effective field theory situation, which coincides with results obtained by
Berges et al.\ in large- scalar field theory. If we instead assume that
scaling behavior is determined by Schwinger-Dyson resummations such that the
different scaling of bare and dressed vertices matters, we find that
intermediate values are possible. We present one simple scenario which would
single out .Comment: published versio
Quantum simulation of lattice gauge theories using Wilson fermions
Quantum simulators have the exciting prospect of giving access to real-time
dynamics of lattice gauge theories, in particular in regimes that are difficult
to compute on classical computers. Future progress towards scalable quantum
simulation of lattice gauge theories, however, hinges crucially on the
efficient use of experimental resources. As we argue in this work, due to the
fundamental non-uniqueness of discretizing the relativistic Dirac Hamiltonian,
the lattice representation of gauge theories allows for an optimization that up
to now has been left unexplored. We exemplify our discussion with lattice
quantum electrodynamics in two-dimensional space-time, where we show that the
formulation through Wilson fermions provides several advantages over the
previously considered staggered fermions. Notably, it enables a strongly
simplified optical lattice setup and it reduces the number of degrees of
freedom required to simulate dynamical gauge fields. Exploiting the optimal
representation, we propose an experiment based on a mixture of ultracold atoms
trapped in a tilted optical lattice. Using numerical benchmark simulations, we
demonstrate that a state-of-the-art quantum simulator may access the Schwinger
mechanism and map out its non-perturbative onset.Comment: 19 pages, 11 figure
Scattering in an environment
The cross section of elastic electron-proton scattering taking place in an
electron gas is calculated within the Closed Time Path method. It is found to
be the sum of two terms, one being the expression in the vacuum except that it
involves dressing due to the electron gas. The other term is due to the
scattering particles-electron gas entanglement. This term dominates the usual
one when the exchange energy is in the vicinity of the Fermi energy.
Furthermore it makes the trajectories of the colliding particles more
consistent and the collision more irreversible, rendering the scattering more
classical in this regime.Comment: final version to appear in Phys. Rev.
BCS-Bose Crossover in Color Superconductivity
It is shown that the onset of the color superconducting phase occurs in the
BCS-BE crossover region.Comment: 5 pages, LaTeX, references adde
Quantum versus classical statistical dynamics of an ultracold Bose gas
We investigate the conditions under which quantum fluctuations are relevant
for the quantitative interpretation of experiments with ultracold Bose gases.
This requires to go beyond the description in terms of the Gross-Pitaevskii and
Hartree-Fock-Bogoliubov mean-field theories, which can be obtained as classical
(statistical) field-theory approximations of the quantum many-body problem. We
employ functional-integral techniques based on the two-particle irreducible
(2PI) effective action. The role of quantum fluctuations is studied within the
nonperturbative 2PI 1/N expansion to next-to-leading order. At this accuracy
level memory-integrals enter the dynamic equations, which differ for quantum
and classical statistical descriptions. This can be used to obtain a
'classicality' condition for the many-body dynamics. We exemplify this
condition by studying the nonequilibrium evolution of a 1D Bose gas of sodium
atoms, and discuss some distinctive properties of quantum versus classical
statistical dynamics.Comment: 19 pages, 10 figure
Anomalous scaling of fermions and order parameter fluctuations at quantum criticality
We analyze the quantum phase transition between a semimetal and a superfluid
in a model of attractively interacting fermions with a linear dispersion. The
quantum critical properties of this model cannot be treated by the Hertz-Millis
approach since integrating out the fermions leads to a singular Landau-Ginzburg
order parameter functional. We therefore derive and solve coupled
renormalization group equations for the fermionic degrees of freedom and the
bosonic order parameter fluctuations. In two spatial dimensions, fermions and
bosons acquire anomalous scaling dimensions at the quantum critical point,
associated with non-Fermi liquid behavior and non-Gaussian order parameter
fluctuations.Comment: 8 pages, 9 figures, highlighted differences to Gross-Neveu model,
updated version as publishe
Correlations and Equilibration in Relativistic Quantum Systems
In this article we study the time evolution of an interacting field
theoretical system, i.e. \phi^4-field theory in 2+1 space-time dimensions, on
the basis of the Kadanoff-Baym equations for a spatially homogeneous system
including the self-consistent tadpole and sunset self-energies. We find that
equilibration is achieved only by inclusion of the sunset self-energy.
Simultaneously, the time evolution of the scalar particle spectral function is
studied for various initial states. We also compare associated solutions of the
corresponding Boltzmann equation to the full Kadanoff-Baym theory. This
comparison shows that a consistent inclusion of the spectral function has a
significant impact on the equilibration rates only if the width of the spectral
function becomes larger than 1/3 of the particle mass. Furthermore, based on
these findings, the conventional transport of particles in the on-shell
quasiparticle limit is extended to particles of finite life time by means of a
dynamical spectral function A(X,\vec{p},M^2). The off-shell propagation is
implemented in the Hadron-String-Dynamics (HSD) transport code and applied to
the dynamics of nucleus-nucleus collisions.Comment: 20 pages, 7 figures to appear in "Nonequilibrium at short time scales
- Formation of correlations", edited by K. Morawetz, Springer, Berlin (2003),
p16
Temperature dependence of antiferromagnetic order in the Hubbard model
We suggest a method for an approximative solution of the two dimensional
Hubbard model close to half filling. It is based on partial bosonisation,
supplemented by an investigation of the functional renormalisation group flow.
The inclusion of both the fermionic and bosonic fluctuations leads in lowest
order to agreement with the Hartree-Fock result or Schwinger-Dyson equation and
cures the ambiguity of mean field theory . We compute the temperature
dependence of the antiferromagnetic order parameter and the gap below the
critical temperature. We argue that the Mermin-Wagner theorem is not
practically applicable for the spontaneous breaking of the continuous spin
symmetry in the antiferromagnetic state of the Hubbard model. The long distance
behavior close to and below the critical temperature is governed by the
renormalisation flow for the effective interactions of composite Goldstone
bosons and deviates strongly from the Hartree-Fock result.Comment: New section on critical behavior 31 pages,17 figure
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