446 research outputs found
Towards a quantum field theory of primitive string fields
We denote generating functions of massless even higher spin fields "primitive
string fields" (PSF's). In an introduction we present the necessary definitions
and derive propagators and currents of these PDF's on flat space. Their
off-shell cubic interaction can be derived after all off-shell cubic
interactions of triplets of higher spin fields have become known [2],[3]. Then
we discuss four-point functions of any quartet of PSF's. In subsequent sections
we exploit the fact that higher spin field theories in are
determined by AdS/CFT correspondence from universality classes of critical
systems in dimensional flat spaces. The O(N) invariant sectors of the O(N)
vector models for play for us the role of "standard
models", for varying , they contain e.g. the Ising model for N=1 and the
spherical model for . A formula for the masses squared that break
gauge symmetry for these O(N) classes is presented for d = 3. For the PSF on
space it is shown that it can be derived by lifting the PSF on flat space
by a simple kernel which contains the sum over all spins. Finally we use an
algorithm to derive all symmetric tensor higher spin fields. They arise from
monomials of scalar fields by derivation and selection of conformal
(quasiprimary) fields. Typically one monomial produces a multiplet of spin
conformal higher spin fields for all , they are distinguished by
their anomalous dimensions (in ) or by their mass (in ). We sum
over these multiplets and the spins to obtain "string type fields", one for
each such monomial.Comment: 16 pages,Late
Regularization and finiteness of the Lorentzian LQG vertices
We give an explicit form for the Lorentzian vertices recently introduced for
possibly defining the dynamics of loop quantum gravity. As a result of so
doing, a natural regularization of the vertices is suggested. The regularized
vertices are then proven to be finite. An interpretation of the regularization
in terms of a gauge-fixing is also given.Comment: 16 pages; Added an appendix presenting the gauge-fixing
interpretation, added three references, and made some minor change
Lifting a Conformal Field Theory from D-Dimensional Flat Space to (D+1)-Dimensional Ads Space
A quantum field theory on Anti-de-Sitter space can be constructed from a
conformal field theory on its boundary Minkowski space by an inversion of the
holographic mapping. To do this the conformal field theory must satisfy certain
constraints. The structure of operator product expansions is carried over to
AdS space. We show that this method yields a higher spin field theory HS(4)
from the minimal conformal O(N) sigma model in three dimensions. For these
models AdS/CFT correspondence is hereby proved to second order in the coupling
constant.Comment: Latex file, 19 pages; one section added, 3 references added, typos
correcte
Supersymmetric Distributions, Hilbert Spaces of Supersymmetric Functions and Quantum Fields
The recently investigated Hilbert-Krein and other positivity structures of
the superspace are considered in the framework of superdistributions. These
tools are applied to problems raised by the rigorous supersymmetric quantum
field theory.Comment: 24 page
Multiple algebraisations of an elliptic Calogero-Sutherland model
Recently, Gomez-Ullate et al. (1) have studied a particular N-particle
quantum problem with an elliptic function potential supplemented by an external
field. They have shown that the Hamiltonian operator preserves a finite
dimensional space of functions and as such is quasi exactly solvable (QES). In
this paper we show that other types of invariant function spaces exist, which
are in close relation to the algebraic properties of the elliptic functions.
Accordingly, series of new algebraic eigenfunctions can be constructed.Comment: 9 Revtex pages, 3 PS-figures; Summary, abstract and conclusions
extende
Photoionenspektroskopie an Schwefelchloridpentafluorid SF5Cl, das lonisationspotential von Schwefelpentafluorid SF5
The appearance potentials of fragment ions from SF5Cl have been measured in the energy range 12 - 20 eV by means of photoionization mass spectrometry. From these data, the ionization potential of SF5 comes to 9.65 eV
Local Interactions of Higher-Spin Potentials That are Gauge Invariant in Linear Approximation
We study connected Wightman functions of conserved currents, each of
which is formed from a scalar field and has even spin . The UV
divergence of this vertex function is regularized by the analytic continuation
in the space dimension . We evaluate the residue
of only, which is a local interaction Lagrangian density and
gauge invariant in linearComment: Talk given at Group XXVII Yerevan, Armenia, August 13-29, 2008, v.2
published in Yadernaya Fizika 73 (2010) 518-52
Exactly solvable potentials of Calogero type for q-deformed Coxeter groups
We establish that by parameterizing the configuration space of a
one-dimensional quantum system by polynomial invariants of q-deformed Coxeter
groups it is possible to construct exactly solvable models of Calogero type. We
adopt the previously introduced notion of solvability which consists of
relating the Hamiltonian to finite dimensional representation spaces of a Lie
algebra. We present explicitly the -case for which we construct the
potentials by means of suitable gauge transformations.Comment: 22 pages Late
Conformal partial wave analysis of AdS amplitudes for dilaton-axion four-point functions
Operator product expansions are applied to dilaton-axion four-point
functions. In the expansions of the bilocal fields ,
and , the conformal fields which
are symmetric traceless tensors of rank and have dimensions or
and are identified. The
unidentified fields have dimension with . The anomalous dimensions are calculated at order
for both and and are found to be the same, proving
symmetry. The relevant coupling constants are given at order .Comment: 27 pages, 1 graph, 12 figures, Corrections in eqns. (1.10), (1.11
Gravitation on a Homogeneous Domain
Among all plastic deformations of the gravitational Lorentz vacuum \cite{wr1}
a particular role is being played by conformal deformations. These are
conveniently described by using the homogeneous space for the conformal group
SU(2,2)/S(U(2)x U(2)) and its Shilov boundary - the compactified Minkowski
space \tilde{M} [1]. In this paper we review the geometrical structure involved
in such a description. In particular we demonstrate that coherent states on the
homogeneous Kae}hler domain give rise to Einstein-like plastic conformal
deformations when extended to \tilde{M} [2].Comment: 10 pages, 1 figure; four misprints in the original version corrected:
one lacking closing parenthesis, two letters, and an overall sign in front of
the primitive function on p.
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