810 research outputs found
Supersymmetric Scattering in Two Dimensions
We briefly review results on two-dimensional supersymmetric quantum field
theories that exhibit factorizable particle scattering. Our particular focus is
on a series of supersymmetric theories, for which exact -matrices
have been obtained. A Thermodynamic Bethe Ansatz (TBA) analysis for these
theories has confirmed the validity of the proposed -matrices and has
pointed at an interesting `folding' relation with a series of
supersymmetric theories.Comment: 3 pages, wstwocl.sty, epsfig.sty, talk delivered at the HEP95
Conference of the EPS, Brussels, July/August 199
Recommended from our members
Tricritical Ising Model with a Boundary
We study the integrable and supersymmetric massive deformation of the tricritical Ising model in the presence of a boundary. We use constraints from supersymmetry in order to compute the exact boundary -matrices, which turn out to depend explicitly on the topological charge of the supersymmetry algebra. We also solve the general boundary Yang-Baxter equation and show that in appropriate limits the general reflection matrices go over the supersymmetry preserving solutions. Finally, we briefly discuss the possible connection between our reflection matrices and boundary perturbations within the framework of perturbed boundary conformal field theory
Conformal Invariance in (2+1)-Dimensional Stochastic Systems
Stochastic partial differential equations can be used to model second order
thermodynamical phase transitions, as well as a number of critical
out-of-equilibrium phenomena. In (2+1) dimensions, many of these systems are
conjectured (and some are indeed proved) to be described by conformal field
theories. We advance, in the framework of the Martin-Siggia-Rose field
theoretical formalism of stochastic dynamics, a general solution of the
translation Ward identities, which yields a putative conformal energy-momentum
tensor. Even though the computation of energy-momentum correlators is
obstructed, in principle, by dimensional reduction issues, these are bypassed
by the addition of replicated fields to the original (2+1)-dimensional model.
The method is illustrated with an application to the Kardar-Parisi-Zhang (KPZ)
model of surface growth. The consistency of the approach is checked by means of
a straightforward perturbative analysis of the KPZ ultraviolet region, leading,
as expected, to its conformal fixed point.Comment: Title, abstract and part of the text have been rewritten. To be
published in Physical Review E
Quantum Integrability of Certain Boundary Conditions
We study the quantum integrability of the O(N) nonlinear (nls) model
and the O(N) Gross-Neveu (GN) model on the half-line. We show that the \nls
model is integrable with Neumann, Dirichlet and a mixed boundary condition, and
that the GN model is integrable if \psi_+^a\x=\pm\psi_-^a\x. We also comment
on the boundary condition found by Corrigan and Sheng for the O(3) nls model.Comment: 11 pages, Latex file, minor changes, one reference adde
Supersymmetric Reflection Matrices
We briefly review the general structure of integrable particle theories in
1+1 dimensions having N=1 supersymmetry. Examples are specific perturbed
superconformal field theories (of Yang-Lee type) and the N=1 supersymmetric
sine-Gordon theory. We comment on the modifications that are required when the
N=1 supersymmetry algebra contains non-trivial topological charges.Comment: 7 pages, Revtex, 2 figures, talk given at the International Seminar
on Supersymmetry and Quantum Field Theory, dedicated to the memory of
D.V.Volkov, Kharkov (Ukraine), January 5-7, 199
Non-perturbative approach to backscattering off a dynamical impurity in 1D Fermi systems
We investigate the problem of backscattering off a time-dependent impurity in
a one-dimensional electron gas. By combining the Schwinger-Keldysh method with
an adiabatic approximation in order to deal with the corresponding out of
equilibrium Dirac equation, we compute the total energy density (TED) of the
system. We show how the free fermion TED is distorted by the backscattering
amplitude and the geometry of the impurity.Comment: 5 pages, 2 figures, RevTex4. Appendix and some text added. Results
and conclusions did not change. Version accepted for publication in Phys.
Rev.
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