709 research outputs found
Pressure in Chern-Simons Field Theory to Three-Loop Order
We calculate perturbatively the pressure of a dilute gas of anyons through
second order in the anyon coupling constant, as described by Chern-Simons field
theory. Near Bose statistics , the divergences in the perturbative expansion
are exactly cancelled by a two-body -function potential which is not
required near Fermi statistics. To the order considered, we find no need for a
non-hermitian Hamiltonian. (This paper precedes the article ''Three loop
calculation of the full anyonic partition function'', by R. Emparan and M.
Valle Basagoiti, hep-th/9304103)Comment: 10 pages, PlainTeX with macro manumac (included), report EHU-FT-92/
Second Virial Coefficient for Noncommutative Space
The second virial coefficient for non-interacting particles
moving in a two-dimensional noncommutative space and in the presence of a
uniform magnetic field is presented. The noncommutativity parameter
\te can be chosen such that the can be interpreted as the
second virial coefficient for anyons of statistics \al in the presence of
and living on the commuting plane. In particular in the high
temperature limit \be\lga 0, we establish a relation between the parameter
\te and the statistics \al. Moreover, can also be
interpreted in terms of composite fermions.Comment: 11 pages, misprints corrected and references adde
Feynman path-integral approach to the QED3 theory of the pseudogap
In this work the connection between vortex condensation in a d-wave
superconductor and the QED gauge theory of the pseudogap is elucidated. The
approach taken circumvents the use of the standard Franz-Tesanovic gauge
transformation, borrowing ideas from the path-integral analysis of the
Aharonov-Bohm problem. An essential feature of this approach is that
gauge-transformations which are prohibited on a particular multiply-connected
manifold (e.g. a superconductor with vortices) can be successfully performed on
the universal covering space associated with that manifold.Comment: 15 pages, 1 Figure. Int. J. Mod. Phys. B 17, 4509 (2003). Minor
changes from previous versio
A -matrix generalization of the Kitaev model
We extend the Kitaev model defined for the Pauli-matrices to the Clifford
algebra of -matrices, taking the representation as an
example. On a decorated square lattice, the ground state spontaneously breaks
time-reversal symmetry and exhibits a topological phase transition. The
topologically non-trivial phase carries gapless chiral edge modes along the
sample boundary. On the 3D diamond lattice, the ground states can exhibit
gapless 3D Dirac cone-like excitations and gapped topological insulating
states. Generalizations to even higher rank -matrices are also
discussed.Comment: A revised versio
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