58 research outputs found

### Finite Temperature Effective Potential for the Abelian Higgs Model to the Order $e^4,\lambda^2$

A complete calculation of the finite temperature effective potential for the
abelian Higgs model to the order $e^4,\lambda^2$ is presented and the result is
expressed in terms of physical parameters defined at zero temperature. The
absence of a linear term is verified explicitly to the given order and proven
to survive to all orders. The first order phase transition has weakened in
comparison with lower order calculation, which shows up in a considerable
decrease of the surface tension. The only difference from the original version
is the splitting of some overlong lines causing problems with certain mailers.Comment: 13 pages LaTex ( figures not included , hardcopy available on request
: [email protected] or t00heb@dhhdesy3 ) , DESY 93-08

### Spontaneous breaking of axial symmetry for Schroedinger's equation in the presence of a magnetic field

For appropriate parameters, the ground state for the Schroedinger and Ampere
coupled equations in a cylindric domain does not have axial symmetry.Comment: 2 page

### Inflation and String Cosmology

Inflationary theory is already 20 years old, and it is impossible to describe
all of its versions and implications in a short talk. I will concentrate on
several subjects which I believe to be most important. First of all, I will
give a brief review of the first versions of inflationary theory, from
Starobinsky model to new inflation. Then I will describe chaotic inflation, the
theory of quantum fluctuations and density perturbations, the theory of eternal
inflation, and recent observational data. In the second part of the talk I will
discuss the recently proposed ekpyrotic scenario and argue that in its present
form it does not provide a viable alternative to inflation.Comment: 22 pages, contribution to the Proceedings of PASCOS 200

### Static overscreening and nonlinear response in the Hubbard Model

We investigate the static charge response for the Hubbard model. Using the
Slave-Boson method in the saddle-point approximation we calculate the charge
susceptibility. We find that RPA works quite well close to half-filling,
breaking, of course, down close to the Mott transition. Away from half filling
RPA is much less reliable: Already for very small values of the Hubbard
interaction U, the linear response becomes much more efficient than RPA,
eventually leading to overscreening already beyond quite moderate values of U.
To understand this behavior we give a simple argument, which implies that the
response to an external perturbation at large U should actually be strongly
non-linear. This prediction is confirmed by the results of exact
diagonalization.Comment: 10 pages, 7 figures, RevTe

### Ferromagnetic properties of charged vector boson condensate

Bose-Einstein condensation of W bosons in the early universe is studied. It
is shown that, in the broken phase of the standard electroweak theory,
condensed W bosons form a ferromagnetic state with aligned spins. In this case
the primeval plasma may be spontaneously magnetized inside macroscopically
large domains and form magnetic fields which may be seeds for the observed
today galactic and intergalactic fields. However, in a modified theory, e.g. in
a theory without quartic self interactions of gauge bosons or for a smaller
value of the weak mixing angle, antiferromagnetic condensation is possible. In
the latter case W bosons form scalar condensate with macroscopically large
electric charge density i.e. with a large average value of the bilinear product
of W-vector fields but with microscopically small average value of the field
itself.Comment: Some numerical estimates and discussions are added according to the
referee's suggestions. This version is accepted for publication in JCA

### Towards the Theory of Cosmological Phase Transitions

We discuss recent progress (and controversies) in the theory of finite
temperature phase transitions. This includes the structure of the effective
potential at a finite temperature, the infrared problem in quantum statistics
of gauge fields, the theory of formation of critical and subcritical bubbles
and the theory of bubble wall propagation.Comment: 50 p

### Scaling in Numerical Simulations of Domain Walls

We study the evolution of domain wall networks appearing after phase
transitions in the early Universe. They exhibit interesting dynamical scaling
behaviour which is not yet well understood, and are also simple models for the
more phenomenologically acceptable string networks. We have run numerical
simulations in two- and three-dimensional lattices of sizes up to 4096^3. The
theoretically predicted scaling solution for the wall area density A ~ 1/t is
supported by the simulation results, while no evidence of a logarithmic
correction reported in previous studies could be found. The energy loss
mechanism appears to be direct radiation, rather than the formation and
collapse of closed loops or spheres. We discuss the implications for the
evolution of string networks.Comment: 7pp RevTeX, 9 eps files (including six 220kB ones

### Real time thermal propagtors for massive gauge bosons

We derive Feynman rules for gauge theories exhibiting spontaneous symmetry
breaking using the real-time formalism of finite temperature field theory. We
also derive the thermal propagators where only the physical degrees of freedom
are given thermal boundary conditions. We analyse the abelian Higgs model and
find that these new propagators simplify the calculation of the thermal
contribution to the self energy.Comment: 7 pages, late

### The Electroweak Phase Transition on Orbifolds with Gauge-Higgs Unification

The dynamics of five dimensional Wilson line phases at finite temperature is
studied in the one-loop approximation. We show that at temperatures of order T
\sim 1/L, where L is the length of the compact space, the gauge symmetry is
always restored and the electroweak phase transition appears to be of first
order.
Particular attention is devoted to the study of a recently proposed five
dimensional orbifold model (on S1/Z2) where the Wilson line phase is identified
with the Higgs field (gauge-Higgs unification). Interestingly enough, an
estimate of the leading higher-loop ``daisy'' (or ``ring'') diagram
contributions to the effective potential in a simple five dimensional model,
seems to suggest that the electroweak phase transition can be studied in
perturbation theory even for Higgs masses above the current experimental limit
of 114 GeV. The transition is still of first order for such values of the Higgs
mass. If large localized gauge kinetic terms are present, the transition might
be strong enough to give baryogenesis at the electroweak transition.Comment: 35 pages, 34 figures; v2: discussion on higher loop contributions
improved, two figures added, minor correction

### Finite Temperature and Density Effect on Symmetry Breaking by Wilson Loops

A finite temperature and density effect of Wilson loop elements on non-simply
connected space is investigated in the model suggested by Hosotani. Using
one-loop calculations it is shown that the value of an "order parameter" does
not shift as the temperature grows. We find that finite density effect is of
much importance for restoration of symmetry.Comment: 11pages, no figur

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