27,785 research outputs found
Henry Simons and the Other Minsky Moment
This paper examines the influence of Henry Simons on Hyman Minsky. Simons' proposals for banking reform are contrasted with Minsky's alternative 'big bank' and 'big government' programme for stabilising the economy. The paper concludes by arguing that Simons' proposals for stabilising banking would have prevented a credit bubble, but would not avoid economic instability. Nevertheless, Minsky remained an admirer of Simons’ ‘banking’ approach to the study of capitalism
Deligne-Beilinson cohomology and abelian link invariants: torsion case
For the abelian Chern-Simons field theory, we consider the quantum functional
integration over the Deligne-Beilinson cohomology classes and present an
explicit path-integral non-perturbative computation of the Chern-Simons link
invariants in , a toy example of 3-manifold with
torsion
Comment on the ``-term renormalization in the (2+1)-dimensional model with term''
It is found that the recently published first coefficient of nonzero
-function for the Chern-Simons term in the expansion of the
model is untrue numerically. The correct result is given. The main
conclusions of Park's paper are not changed.Comment: 3 pages, LATE
Note on Self-Duality and the Kodama State
An interesting interplay between self-duality, the Kodama (Chern-Simons)
state and knot invariants is shown to emerge in the quantum theory of an
Abelian gauge theory. More precisely, when a self-dual representation of the
CCR is chosen, the corresponding vacuum in the Schroedinger representation is
precisely given by the Kodama state. Several consequences of this construction
are explored.Comment: 4 pages, no figures. References and discussion added. Final version
to appear in PR
On asymmetric Chern-Simons number diffusion
We show that CP-violation can lead to an asymmetric diffusion of the
Chern-Simons number in thermal equilibrium. This asymmetry leads to a linearly
growing expectation value of the third power of the Chern-Simons number. In the
long-time limit all expectation values of powers of Chern-Simon numbers are
determined by their appropriate disconnected parts.Comment: 5 pages, contribution to the proceedings of SEWM 200
Self-dual solitons in N=2 supersymmetric semilocal Chern-Simons theory
We embed the semilocal Chern-Simons-Higgs theory into an N=2 supersymmetric
system. We construct the corresponding conserved supercharges and derive the
Bogomol'nyi equations of the model from supersymmetry considerations. We show
that these equations hold provided certain conditions on the coupling constants
as well as on the Higgs potential of the system, which are a consequence of the
huge symmetry of the theory, are satisfied. They admit string-like solutions
which break one half of the supersymmetries --BPS Chern-Simons semilocal cosmic
strings-- whose magnetic flux is concentrated at the center of the vortex. We
study such solutions and show that their stability is provided by supersymmetry
through the existence of a lower bound for the energy, even though the manifold
of the Higgs vacuum does not contain non-contractible loops.Comment: 12 pages, LaTeX, no figures, to appear in Modern Physics Letters
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