10,766 research outputs found
A Theory of the Casimir Effect for Compact Regions
We develop a mathematically precise framework for the Casimir effect. Our
working hypothesis, verified in the case of parallel plates, is that only the
regularization-independent Ramanujan sum of a given asymptotic series
contributes to the Casimir pressure. As an illustration, we treat two cases:
parallel plates, identifying a previous cutoff free version (by G. Scharf and
W. W.) as a special case, and the sphere.We finally discuss the open problem of
the Casimir force for the cube. We propose an Ansatz for the exterior force and
argue why it may provide the exact solution, as well as an explanation of the
repulsive sign of the force.Comment: version published, 23 page
Causal Theory for the Gauged Thirring Model
We consider the (2+1)-dimensional massive Thirring model as a gauge theory,
with one fermion flavor, in the framework of the causal perturbation theory and
address the problem of dynamical mass generation for the gauge boson. In this
context we get an unambiguous expression for the coefficient of the induced
Chern-Simons term.Comment: LaTex, 21 pages, no figure
Radiative Corrections for the Gauged Thirring Model in Causal Perturbation Theory
We evaluate the one-loop fermion self-energy for the gauged Thirring model in
(2+1) dimensions, with one massive fermion flavor, in the framework of the
causal perturbation theory. In contrast to QED, the corresponding two-point
function turns out to be infrared finite on the mass shell. Then, by means of a
Ward identity, we derive the on-shell vertex correction and discuss the role
played by causality for nonrenormalizable theories.Comment: LaTex, 09 pages, no figures. Title changed and introduction enlarged.
To be published in Eur. Phys. J.
Axial Anomaly through Analytic Regularization
In this work we consider the 2-point Green's functions in (1+1) dimensional
quantum electrodynamics and show that the correct implementation of analytic
regularization gives a gauge invariant result for the vaccum polarization
amplitude and the correct coefficient for the axial anomaly.Comment: 8 pages, LaTeX, no figure
Labor mobility patterns over the life-course:A comparison of retrospective and prospective data in different labor markets
Distributional approach to point interactions in one-dimensional quantum mechanics
We consider the one-dimensional quantum mechanical problem of defining
interactions concentrated at a single point in the framework of the theory of
distributions. The often ill-defined product which describes the interaction
term in the Schr\"odinger and Dirac equations is replaced by a well-defined
distribution satisfying some simple mathematical conditions and, in addition,
the physical requirement of probability current conservation is imposed. A
four-parameter family of interactions thus emerges as the most general point
interaction both in the non-relativistic and in the relativistic theories (in
agreement with results obtained by self-adjoint extensions). Since the
interaction is given explicitly, the distributional method allows one to carry
out symmetry investigations in a simple way, and it proves to be useful to
clarify some ambiguities related to the so-called interaction.Comment: Open Access link:
http://journal.frontiersin.org/Journal/10.3389/fphy.2014.00023/abstrac
Gauged Thirring Model in the Heisenberg Picture
We consider the (2+1)-dimensional gauged Thirring model in the Heisenberg
picture. In this context we evaluate the vacuum polarization tensor as well as
the corrected gauge boson propagator and address the issues of generation of
mass and dynamics for the gauge boson (in the limits of QED and Thirring
model as a gauge theory, respectively) due to the radiative corrections.Comment: 14 pages, LaTex, no figure
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