34 research outputs found
The Radiative Corrections to the Mass of the Kink Using an Alternative Renormalization Program
In this paper we compute the radiative correction to the mass of the kink in
theory in 1+1 dimensions, using an alternative renormalization
program. In this newly proposed renormalization program the breaking of the
translational invariance and the topological nature of the problem, due to the
presence of the kink, is automatically taken into account. This will naturally
lead to uniquely defined position dependent counterterms. We use the mode
number cutoff in conjunction with the above program to compute the mass of the
kink up to and including the next to the leading order quantum correction. We
discuss the differences between the results of this procedure and the
previously reported ones.Comment: 8 pages, 2 figures. arXiv admin note: substantial text overlap with
arXiv:0806.036
Canonical wave packets in quantum cosmology
We discuss the construction of wave packets resulting from the solutions of a
class of Wheeler-DeWitt equations in Robertson-Walker type cosmologies, for
arbitrary curvature. We show that there always exists a ``canonical initial
slope" for a given initial wave function, which optimizes some desirable
properties of the resulting wave packet, most importantly good
classical-quantum correspondence. This can be properly denoted as a canonical
wave packet. We introduce a general method for finding these canonical initial
slopes which is generalization of our earlier work.Comment: 19 pages, 8 figure
Casimir Energy For a Massive Dirac Field in One Spatial Dimension: A Direct Approach
In this paper we calculate the Casimir energy for a massive fermionic field
confined between two points in one spatial dimension, with the MIT Bag Model
boundary condition. We compute the Casimir energy directly by summing over the
allowed modes. The method that we use is based on the Boyer's method, and there
will be no need to resort to any analytic continuation techniques. We
explicitly show the graph of the Casimir energy as a function of the distance
between the points and the mass of the fermionic field. We also present a
rigorous derivation of the MIT Bag Model boundary condition.Comment: 8 Pages, 4 Figure
Quantum Stephani exact cosmological solutions and the selection of time variable
We study perfect fluid Stephani quantum cosmological model. In the present
work the Schutz's variational formalism which recovers the notion of time is
applied. This gives rise to Wheeler-DeWitt equation for the scale factor. We
use the eigenfunctions in order to construct wave packets for each case. We
study the time-dependent behavior of the expectation value of the scale factor,
using many-worlds and deBroglie-Bohm interpretations of quantum mechanics.Comment: 19 pages, 7 figure