7 research outputs found
Hopping between Random Locations: Spectrum and Instanton
Euclidean random matrices appear in a broad class of physical problems
involving disorder. The problem of determining their spectra can be mapped,
using the replica method, into the study of a scalar field theory with an
interaction of the type e^(psi^2). We apply the instanton method to study their
spectral tails.Comment: 9 pages, Revtex, 2 postscript figure
On the ground-state properties of antiferromagnetic half-integer spin chains with long-range interactions
The Lieb-Shultz-Mattis theorem is extended to Heisenberg chains with
long-range interactions. We prove that the half-integer spin chain has no gap,
if it possesses unique ground state and the exchange decays faster than the
inverse-square of distance between spins. The results can be extended to a wide
class of one-dimensional models.Comment: 3 pages, RevTeX
Landau-Ginzburg Description of Boundary Critical Phenomena in Two Dimensions
The Virasoro minimal models with boundary are described in the
Landau-Ginzburg theory by introducing a boundary potential, function of the
boundary field value. The ground state field configurations become non-trivial
and are found to obey the soliton equations. The conformal invariant boundary
conditions are characterized by the reparametrization-invariant data of the
boundary potential, that are the number and degeneracies of the stationary
points. The boundary renormalization group flows are obtained by varying the
boundary potential while keeping the bulk critical: they satisfy new selection
rules and correspond to real deformations of the Arnold simple singularities of
A_k type. The description of conformal boundary conditions in terms of boundary
potential and associated ground state solitons is extended to the N=2
supersymmetric case, finding agreement with the analysis of A-type boundaries
by Hori, Iqbal and Vafa.Comment: 42 pages, 13 figure
Fermion Representation Of The Rolling Tachyon Boundary Conformal Field Theory
A free fermion representation of the rolling tachyon boundary conformal field
theory is constructed. The representation is used to obtain an explicit,
compact, exact expression for the boundary state. We use the boundary state to
compute the disc and cylinder amplitudes for the half-S-brane.Comment: 27 page