1,531 research outputs found
On the Spectral properties of Multi-branes, M2 and M5 branes
In this note we summarize some of the properties found in several papers. We
characterize spectral properties of the quantum mechanical hamiltonian of
theories with fermionic degrees of freedom beyond semiclassical approximation.
We obtain a general class of bosonic polynomial potentials for which the
Schr\"oedinger operator has a discrete spectrum. This class includes all the
scalar potentials in membrane, 5-brane, p-branes, multiple M2 branes, BLG and
ABJM theories. We also give a sufficient condition for discreteness of the
spectrum for supersymmmetric and non supersymmetric theories with a fermionic
contribution. We characterize then the spectral properties of different
theories: the BMN matrix model, the supermembrane with central charges and a
bound state of D2 with D0. We show that, while the first two models
have a purely discrete spectrum with finite multiplicity, the latter has a
continuous spectrum starting from a constant given in terms of the monopole
charge.Comment: 10pg, Latex, Contributions to the Conference XVI European Workshop on
String Theory 2010, Madrid June 14-18, 201
A Backward Particle Interpretation of Feynman-Kac Formulae
We design a particle interpretation of Feynman-Kac measures on path spaces
based on a backward Markovian representation combined with a traditional mean
field particle interpretation of the flow of their final time marginals. In
contrast to traditional genealogical tree based models, these new particle
algorithms can be used to compute normalized additive functionals "on-the-fly"
as well as their limiting occupation measures with a given precision degree
that does not depend on the final time horizon.
We provide uniform convergence results w.r.t. the time horizon parameter as
well as functional central limit theorems and exponential concentration
estimates. We also illustrate these results in the context of computational
physics and imaginary time Schroedinger type partial differential equations,
with a special interest in the numerical approximation of the invariant measure
associated to -processes
Derecho a un juicio público, libertad de información y derechos al honor y a la vida privada: relaciones, conflictos, interferencias.
The publicity of criminal judicial proceedings appears as a construction
within the declaration of rights of those who face criminal charges. But this publicity
combined with freedom of information sets up risks for other rights such as the
violation of personal privacy, so much so for the accused or third parties -victims,
witnesses...- These pages analyse some of the consequences of these possible conflicts
of rights
On the groundstate of octonionic matrix models in a ball
In this work we examine the existence and uniqueness of the groundstate of a
SU(N)x G2 octonionic matrix model on a bounded domain of R^N. The existence and
uniqueness argument of the groundstate wavefunction follows from the
Lax-Milgram theorem. Uniqueness is shown by means of an explicit argument which
is drafted in some detail.Comment: Latex, 6 page
Arguments towards the construction of a matrix model groundstate
We discuss the existence and uniqueness of wavefunctions for inhomogenoeus
boundary value problems associated to x^2y^2-type matrix model on a bounded
domain of R^2. Both properties involve a combination of the Cauchy-Kovalewski
Theorem and a explicit calculations.Comment: 3 pages, Latex Proceedings for the XIX Simposio Chileno de Fisica,
SOCHIFI 2014 Conference, 26-28 November 2014, held at Concepcion U., Chil
The supermembrane with central charges:(2+1)-D NCSYM, confinement and phase transition
The spectrum of the bosonic sector of the D=11 supermembrane with central
charges is shown to be discrete and with finite multiplicities, hence
containing a mass gap. The result extends to the exact theory our previous
proof of the similar property for the SU(N) regularised model and strongly
suggest discreteness of the spectrum for the complete Hamiltonian of the
supermembrane with central charges. This theory is a quantum equivalent to a
symplectic non-commutative super-Yang-Mills in 2+1 dimensions, where the
space-like sector is a Riemann surface of positive genus. In this context, it
is argued how the theory in 4D exhibits confinement in the N=1 supermembrane
with central charges phase and how the theory enters in the quark-gluon plasma
phase through the spontaneous breaking of the centre. This phase is interpreted
in terms of the compactified supermembrane without central charges.Comment: 33 pages, Latex. In this new version, several changes have been made
and various typos were correcte
Massless ground state for a compact SU(2) matrix model in 4D
We show the existence and uniqueness of a massless supersymmetric ground
state wavefunction of a SU(2) matrix model in a bounded smooth domain with
Dirichlet boundary conditions. This is a gauge system and we provide a new
framework to analyze the quantum spectral properties of this class of
supersymmetric matrix models subject to constraints which can be generalized
for arbitrary number of colors.Comment: 12 pages, Latex. Somme clarifications. Minor changes. Version to
appear at NP
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