2,015,895 research outputs found
Quantal Extension of Mean-Field Dynamics
A method is presented for numerical implementation of the extended TDHF
theory in which two-body correlations beyond the mean-field approximation are
incorporated in the form of a quantal collision term. The method is tested in a
model problem in which the exact solution can be obtained numerically. Whereas
the usual TDHF fails to reproduce the long time evolution, a very good
agreement is found between the extended TDHF and the exact solution.Comment: 22 Latex pages including 7 figure
TFD Extension of Open String Field Theory
We study the application of the rules of Thermo Field Dynamics (TFD) to the
covariant formulation of Open String Field Theory (OSFT). We extend the states
space and fields according to the duplication rules of TFD and construct the
corresponding classical action. The result is interpreted as a theory whose
fields would encode the statistical information of open strings.
The physical spectrum of the free theory is studied through the cohomology of
the extended BRST charge, and, as a result, we get new fields in the spectrum
emerging by virtue of the quantum entanglement and, noticeably, it presents
degrees of freedom that could be identified as those of closed strings. We also
show, however, that their appearing in the action is directly related to the
choice of the inner product in the extended algebra, so that different sectors
of fields could be eliminated from the theory by choosing that product
conveniently.
Finally, we study the extension of the three-vertex interaction and provide a
simple prescription for it whose results at tree-level agree with those of the
conventional theory.Comment: 25 pages, no figures. File format, typos, Abstract and references
modified. New subsection and concluding comments were added. To appear in
Phys. Rev.
Real fields and repeated radical extensions
The main result of this paper is that if E is a field extension of finite odd
degree over a real field Q, and if E is a repeated radical extension of Q, then
every intermediate field is also a repeated radical extension of Q. This paper
also contains a number of other results about repeated radical extensions
Schroedinger Self-adjoint Extension and Quantum Field Theory
We argue that the results obtained using the quantum mechanical method of
self-adjoint extension of the Schr\"odinger Hamiltonian can also be derived
using Feynman perturbation theory in the investigation of the corresponding
non-relativistic field theories. We show that this is indeed what happens in
the study of an anyon system, and, in doing so, we establish a field
theoretical description for ``colliding anyons", {\it i.e.} anyons whose
quantum mechanical wave functions satisfy the non-conventional boundary
conditions obtained with the method of self-adjoint extension. We also show
that analogous results hold for a system of non-abelian Chern-Simons particles.Comment: 9 pages, Plain LaTex, MIT-CTP-232
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