Phys.Rept.266:1-126,1996 The heat-kernel expansion and $\zeta$-regularization techniques for quantum
field theory and extended objects on curved space-times are reviewed. In
particular, ultrastatic ...space-times with spatial section consisting in manifold
with constant curvature are discussed in detail. Several mathematical results,
relevant to physical applications are presented, including exact solutions of
the heat-kernel equation, a simple exposition of hyperbolic geometry and an
elementary derivation of the Selberg trace formula. With regards to the
physical applications, the vacuum energy for scalar fields, the one-loop
renormalization of a self-interacting scalar field theory on a hyperbolic
space-time, with a discussion on the topological symmetry breaking, the finite
temperature effects and the Bose-Einstein condensation, are considered. Some
attempts to generalize the results to extended objects are also presented,
including some remarks on path integral quantization, asymptotic properties of
extended objects and a novel representation for the one-loop (super)string free
energy.
The heat-kernel expansion and \(\zeta\)-regularization techniques for quantum field theory and extended objects on curved space-times are reviewed. In particular, ultrastatic space-times with spatial ...section consisting in manifold with constant curvature are discussed in detail. Several mathematical results, relevant to physical applications are presented, including exact solutions of the heat-kernel equation, a simple exposition of hyperbolic geometry and an elementary derivation of the Selberg trace formula. With regards to the physical applications, the vacuum energy for scalar fields, the one-loop renormalization of a self-interacting scalar field theory on a hyperbolic space-time, with a discussion on the topological symmetry breaking, the finite temperature effects and the Bose-Einstein condensation, are considered. Some attempts to generalize the results to extended objects are also presented, including some remarks on path integral quantization, asymptotic properties of extended objects and a novel representation for the one-loop (super)string free energy.
The case of a patient, died at 48 hours after the birth, with transposition of the great arteries and pulmonary vascular disease grade 3 is described. The evaluation of VPD was carried out in several ...sections from each lung, stained with H&E and elastico-Van Gieson. These histologic features is strongly in opposition with previous reports, in which pulmonary vessels exhibits only grade 1 or even grade 0 (hypoplasia of the media) modifications at the birth. However, many authors underline that children of same age and associated defects had widely differing degrees of VPD. Because our histologic findings, it is advisable an open lung biopsy and the evaluation of pulmonary vascular disease to plan the type of repair also early in life.
