450 research outputs found
Three-Body approach to the K^- d Scattering Length in Particle Basis
We report on the first calculation of the scattering length A_{K^-d} based on
a relativistic three-body approach where the two-body input amplitudes coupled
to the Kbar N channels have been obtained with the chiral SU(3) constraint, but
with isospin symmetry breaking effects taken into account. Results are compared
with a recent calculation applying a similar set of two-body amplitudes,based
on the fixed center approximation, considered as a good approximation for a
loosely bound target, and for which we find significant deviations from the
exact three-body results. Effects of the hyperon-nucleon interaction, and
deuteron -wave component are also evaluated.Comment: 5 pages, Submitted to Phys. Rev.
Cyclotomic integers, fusion categories, and subfactors
Dimensions of objects in fusion categories are cyclotomic integers, hence
number theoretic results have implications in the study of fusion categories
and finite depth subfactors. We give two such applications. The first
application is determining a complete list of numbers in the interval (2,
76/33) which can occur as the Frobenius-Perron dimension of an object in a
fusion category. The smallest number on this list is realized in a new fusion
category which is constructed in the appendix written by V. Ostrik, while the
others are all realized by known examples. The second application proves that
in any family of graphs obtained by adding a 2-valent tree to a fixed graph,
either only finitely many graphs are principal graphs of subfactors or the
family consists of the A_n or D_n Dynkin diagrams. This result is effective,
and we apply it to several families arising in the classification of subfactors
of index less then 5.Comment: 47 pages, with an appendix by Victor Ostri
Restoration of supersymmetric Slavnov-Taylor and Ward identities in presence of soft and spontaneous symmetry breaking
Supersymmetric Slavnov-Taylor and Ward identities are investigated in
presence of soft and spontaneous symmetry breaking. We consider an abelian
model where soft supersymmetry breaking yields a mass splitting between
electron and selectron and triggers spontaneous symmetry breaking, and we
derive corresponding identities that relate the electron and selectron masses
with the Yukawa coupling. We demonstrate that the identities are valid in
dimensional reduction and invalid in dimensional regularization and compute the
necessary symmetry-restoring counterterms.Comment: 35 pages, LaTeX, 9 postscript figure
N=2 Superparticles, RR Fields and Noncommutative Structures of (super)-Spacetime
The recent developments in superstring theory prompted the study of
non-commutative structures in superspace. Considering bosonic and fermionic
strings in a constant antisymmetric tensor background yields a non-vanishing
commutator between the bosonic coordinates of the spacetime. Likewise, the
presence of constant Ramond-Ramond (RR) background leads to a non-vanishing
anti-commutator for the Grassmann coordinates of the superspace. The
non-vanishing commutation relation between bosonic coordinates can also be
derived using a particle moving in a magnetic background, we use N=2 pure
spinor superparticles and D0-branes to show how the non-commutative structures
emerge in superspace. It is argued how a D0-brane in a background of RR fields
reproduces the results obtained in string theory.Comment: Based on a lectures given at 43rd International School of Subnuclear
Physics, Erice, Sicily, Italy, Aug. 200
On the most compact regular lattice in large dimensions: A statistical mechanical approach
In this paper I will approach the computation of the maximum density of
regular lattices in large dimensions using a statistical mechanics approach.
The starting point will be some theorems of Roger, which are virtually unknown
in the community of physicists. Using his approach one can see that there are
many similarities (and differences) with the problem of computing the entropy
of a liquid of perfect spheres. The relation between the two problems is
investigated in details. Some conjectures are presented, that need further
investigation in order to check their consistency.Comment: 27 page
Relation between the pole and the minimally subtracted mass in dimensional regularization and dimensional reduction to three-loop order
We compute the relation between the pole quark mass and the minimally
subtracted quark mass in the framework of QCD applying dimensional reduction as
a regularization scheme. Special emphasis is put on the evanescent couplings
and the renormalization of the epsilon-scalar mass. As a by-product we obtain
the three-loop on-shell renormalization constants Zm(OS) and Z2(OS) in
dimensional regularization and thus provide the first independent check of the
analytical results computed several years ago.Comment: 22 page
Aspects of Superembeddings
Some aspects of the geometry of superembeddings and its application to
supersymmetric extended objects are discussed. In particular, the embeddings of
(3|16) and (6|16) dimensional superspaces into (11|32) dimensional superspace,
corresponding to supermembranes and superfivebranes in eleven dimensions, are
treated in some detail.Comment: 13 pages, Latex, Contribution to Supersymmetry and Quantum Field
Theory, International Seminar dedicated to the memory of D. V. Volkov
(Kharkov, 1997), some clarifications are mad
Supersymmetric Two-Time Physics
We construct an Sp(2,R) gauge invariant particle action which possesses
manifest space-time SO(d,2) symmetry, global supersymmetry and kappa
supersymmetry. The global and local supersymmetries are non-abelian
generalizations of Poincare type supersymmetries and are consistent with the
presence of two timelike dimensions. In particular, this action provides a
unified and explicit superparticle representation of the superconformal groups
OSp(N/4), SU(2,2/N) and OSp(8*/N) which underlie various AdS/CFT dualities in
M/string theory. By making diverse Sp(2,R) gauge choices our action reduces to
diverse one-time physics systems, one of which is the ordinary (one-time)
massless superparticle with superconformal symmetry that we discuss explicitly.
We show how to generalize our approach to the case of superalgebras, such as
OSp(1/32), which do not have direct space-time interpretations in terms of only
zero branes, but may be realizable in the presence of p-branes.Comment: Latex, 18 page
Duality Symmetry in Momentum Frame
Siegel's action is generalized to the D=2(p+1) (p even) dimensional
space-time. The investigation of self-duality of chiral p-forms is extended to
the momentum frame, using Siegel's action of chiral bosons in two space-time
dimensions and its generalization in higher dimensions as examples. The whole
procedure of investigation is realized in the momentum space which relates to
the configuration space through the Fourier transformation of fields. These
actions correspond to non-local Lagrangians in the momentum frame. The
self-duality of them with respect to dualization of chiral fields is uncovered.
The relationship between two self-dual tensors in momentum space, whose similar
form appears in configuration space, plays an important role in the
calculation, that is, its application realizes solving algebraically an
integral equation.Comment: 11 pages, no figures, to appear in Phys. Rev.
AdS and pp-wave D-particle superalgebras
We derive anticommutators of supercharges with a brane charge for a
D-particle in AdS(2) x S(2) and pp-wave backgrounds. A coset GL(2|2)/(GL(1))^4
and its Penrose limit are used with the supermatrix-valued coordinates for the
AdS and the pp-wave spaces respectively. The brane charges have position
dependence, and can be absorbed into bosonic generators by shift of momenta
which results in closure of the superalgebras.Comment: 15 page
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