7,366 research outputs found
Comment on Gauge-Independent Analysis of Chern-Simons Theory with Matter Coupling
It is shown that a recently proposed relativistic field theory of anyons is
mathematically flawed and also does not satisfy reasonable criteria for such a
theory.Comment: 4 page
Soluble field theory with a massless gauge invariant limit
It is shown that there exists a soluble four parameter model in (1+1)
dimensions all of whose propagators can be determined in terms of the
corresponding known propagators of the vector coupling theory. Unlike the
latter case, however, the limit of zero bare mass is nonsingular and yields a
nontrivial theory with a rigorously unbroken gauge invariance.Comment: 7 pages, revtex, no figure
Unification of the Soluble Two-dimensional vector coupling models
The general theory of a massless fermion coupled to a massive vector meson in
two dimensions is formulated and solved to obtain the complete set of Green's
functions. Both vector and axial vector couplings are included. In addition to
the boson mass and the two coupling constants, a coefficient which denotes a
particular current definition is required for a unique specification of the
model.
The resulting four parameter theory and its solution are shown to reduce in
appropriate limits to all the known soluble models, including in particular the
Schwinger model and its axial vector variant.Comment: 10 page
Comment on "Attractive Forces between Electrons in 2 + 1 Dimensional QED"
It is shown that a model recently proposed for numerical calculations of
bound states in QED is in fact an improper truncation of the Aharonov-Bohm
potential.Comment: 4 page
Cutoff dependence of the Casimir effect
The problem of calculating the Casimir force on two conducting planes by
means of the stress tensor is examined. The evaluation of this quantity is
carried out using an explicit regularization procedure which has its origin in
the underlying (2+1) dimensional Poincar\'{e} invariance of the system. The
force between the planes is found to depend on the ratio of two independent
cutoff parameters, thereby rendering any prediction for the Casimir effect an
explicit function of the particular calculational scheme employed. Similar
results are shown to obtain in the case of the conducting sphere.Comment: 7 pages, revtex, no figure
- …