4 research outputs found
Two and Three-Dimensional Spin Systems with Gonihedric Action
We perform numerical simulations of the two and three-dimensional spin
systems with competing interaction. They describe the model of random surfaces
with linear-gonihedric action.The degeneracy of the vacuum state of this spin
system is equal to for the lattice of the size .
We observe the second order phase transition of the three-dimensional system,
at temperature which almost coincides with
of the 2D Ising model. This confirms the earlier analytical result
for the case when self-interaction coupling constant is equal to zero. We
suggest the full set of order parameters which characterize the structure of
the vacuum states and of the phase transition.Comment: 10 pages,Latex,The figures are availabl
Evidence for a first order transition in a plaquette 3d Ising-like action
We investigate a 3d Ising action which corresponds to a a class of models
defined by Savvidy and Wegner, originally intended as discrete versions of
string theories on cubic lattices. These models have vanishing bare surface
tension and the couplings are tuned in such a way that the action depends only
on the angles of the discrete surface, i.e. on the way the surface is embedded
in . Hence the name gonihedric by which they are known. We show that
the model displays a rather clear first order phase transition in the limit
where self-avoidance is neglected and the action becomes a plaquette one. This
transition persists for small values of the self avoidance coupling, but it
turns to second order when this latter parameter is further increased. These
results exclude the use of this type of action as models of gonihedric random
surfaces, at least in the limit where self avoidance is neglected.Comment: 4 pages Latex text, 4 postscript figure
String tension in gonihedric 3D Ising models
For the 3D gonihedric Ising models defined by Savvidy and Wegner the bare
string tension is zero and the energy of a spin interface depends only on the
number of bends and self-intersections, in antithesis to the standard
nearest-neighbour 3D Ising action. When the parameter kappa weighting the
self-intersections is small the model has a first order transition and when it
is larger the transition is continuous.
In this paper we investigate the scaling of the renormalized string tension,
which is entirely generated by fluctuations, using Monte Carlo simulations This
allows us to obtain an estimate for the critical exponents alpha and nu using
both finite-size-scaling and data collapse for the scaling function.Comment: Latex + postscript figures. 8 pages text plus 7 figures, spurious
extra figure now removed
Annihilation range and final-state interaction in the antiproton-proton annihilation into pi-pi+
The large set of accurate data on differential cross section and analyzing
power from the CERN LEAR experiment on in the range
from 360 to 1550 MeV/c is well reproduced within a distorted wave approximation
approach. The initial scattering wave functions originate from a
recent model. The transition operator is obtained from a combination
of the and quark-antiquark annihilation mechanisms. A good fit
to the data, in particular the reproduction of the double dip structure
observed in the analyzing powers, requires quark wave functions for proton,
antiproton, and pions with radii slightly larger than the respective measured
charge radii. This corresponds to an increase in range of the annihilation
mechanisms and consequently the amplitudes for total angular momentum J=2 and
higher are much larger than in previous approaches. The final state
wave functions, parameterized in terms of phase shifts and
inelasticities, are also a very important ingredient for the fine tuning of the
fit to the observables.Comment: 11 pages, 11 figures (Revtex 4), revised version with one additional
figure. Accepted for publication in PR