5,805 research outputs found
Employment conditions and health inequalities.
Final Report to the WHO Commission on Social Determinants of Health (CSDH), Geneva
Confinement in the 3-dimensional Gross-Neveu model
We consider the -components 3-dimensional massive Gross-Neveu model
compactified in one spatial direction, the system being constrained to a slab
of thickness . We derive a closed formula for the effective renormalized
-dependent coupling constant in the large-N limit, using bag-model boundary
conditions. For values of the fixed coupling constant in absence of boundaries
, we obtain ultra-violet asymptotic
freedom (for ) and confinement for a length such that , being the fermionic mass. Taking
for an average of the masses of the quarks composing the proton, we obtain
a confining legth which is comparable with an estimated proton
diameter.Comment: Latex, 4 pages, 2 figures (one new), some changes in tex
Critical behaviour of the compactified theory
We investigate the critical behaviour of the -component Euclidean model at leading order in -expansion. We consider it in
three situations: confined between two parallel planes a distance apart
from one another, confined to an infinitely long cylinder having a square
cross-section of area and to a cubic box of volume . Taking the mass
term in the form , we retrieve Ginzburg-Landau
models which are supposed to describe samples of a material undergoing a phase
transition, respectively in the form of a film, a wire and of a grain, whose
bulk transition temperature () is known. We obtain equations for the
critical temperature as functions of (film), (wire), (grain) and of
, and determine the limiting sizes sustaining the transition.Comment: 12 pages, no figure
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