93 research outputs found
Oddballs and a Low Odderon Intercept
We report an odderon Regge trajectory emerging from a field theoretical
Coulomb gauge QCD model for the odd signature JPC (P=C= -1) glueball states
(oddballs). The trajectory intercept is clearly smaller than the pomeron and
even the omega trajectory's intercept which provides an explanation for the
nonobservation of the odderon in high energy scattering data. To further
support this result we compare to glueball lattice data and also perform
calculations with an alternative model based upon an exact Hamiltonian
diagonalization for three constituent gluons.Comment: 4 pages, 2 figures, 1 tabl
New limits on "odderon" amplitudes from analyticity constraints
In studies of high energy and scattering, the odd (under
crossing) forward scattering amplitude accounts for the difference between the
and cross sections. Typically, it is taken as
(),
which has as , where is the
ratio of the real to the imaginary portion of the forward scattering amplitude.
However, the odd-signatured amplitude can have in principle a strikingly
different behavior, ranging from having non-zero constant to
having as , the maximal behavior
allowed by analyticity and the Froissart bound. We reanalyze high energy
and scattering data, using new analyticity constraints, in order to
put new and precise limits on the magnitude of ``odderon'' amplitudes.Comment: 13 pages LaTex, 6 figure
A classical Odderon in QCD at high energies
We show that the weight functional for color sources in the classical theory
of the Color Glass Condensate includes a term which generates Odderon
excitations. Remarkably, the classical origin of these excitations can be
traced to the random walk of partons in the two dimensional space spanned by
the SU(3) Casimirs. This term is naturally suppressed for a large nucleus at
high energies.Comment: 19 pages. No figur
Lattice approach to high-energy hadron-hadron scattering
We discuss the non perturbative approach to the problem of high-energy
hadron-hadron (dipole-dipole) scattering at low momentum transfer by means of
numerical simulations in Lattice Gauge Theory.Comment: 4 pages, 5 figures, LaTeX with espcrc2.sty (v. 2.7). To appear in the
proceedings of the 14th International QCD Conference (QCD 08), Montpellier,
France, 7-12 July 200
Elastic and scattering in the models of unitarized pomeron
Elastic scattering amplitudes dominated by the Pomeron singularity which obey
the principal unitarity bounds at high energies are constructed and analyzed.
Confronting the models of double and triple (at ) Pomeron pole
(supplemented by some terms responsible for the low energy behaviour) with
existing experimental data on and total and differential cross
sections at GeV and GeV we are able to tune
the form of the Pomeron singularity. Actually the good agreement with those
data is received for both models though the behaviour given by the dipole model
is more preferable in some aspects. The predictions made for the LHC energy
values display, however, the quite noticeable difference between the
predictions of models at GeV. Apparently the future
results of TOTEM will be more conclusive to make a true choice.Comment: Revtex4, 8 pages, 5 figures. Text is improved, no changes in figures
and conclusions. Version to be published in Phys. Rev.
Heisenberg's Universal (lns)**2 Increase of Total Cross Sections
The (lns)**2 behaviour of total cross-sections, first obtained by Heisenberg
50 years ago, receives now increased interest both on phenomenological and
theoretical levels. In this paper we present a modification of the Heisenberg's
model in connection with the presence of glueballs and we show that it leads to
a realistic description of all existing hadron total cross-section data.Comment: 6 pages, 3 figure
A simple recipe to detect possible C-Odd effects in high energy and
We provide a theorem to suggest that data may already be sufficient to
detect possible asymptotic C-odd (Odderon) contributions. This can be done by
comparing and observables such as total cross sections,
forward angular distributions and ratios of real to imaginary forward
amplitudes for which well defined model independent correlations {must} exist
which could already show up at RHIC energy but definitely at LHC energies.Comment: 10 pages in TeX, no figur
High Energy Bounds on Soft N=4 SYM Amplitudes from AdS/CFT
Using the AdS/CFT correspondence, we study the high-energy behavior of
colorless dipole elastic scattering amplitudes in N=4 SYM gauge theory through
the Wilson loop correlator formalism and Euclidean to Minkowskian analytic
continuation. The purely elastic behavior obtained at large impact-parameter L,
through duality from disconnected AdS_5 minimal surfaces beyond the
Gross-Ooguri transition point, is combined with unitarity and analyticity
constraints in the central region. In this way we obtain an absolute bound on
the high-energy behavior of the forward scattering amplitude due to the
graviton interaction between minimal surfaces in the bulk. The dominant
"Pomeron" intercept is bounded by alpha less than or equal to 11/7 using the
AdS/CFT constraint of a weak gravitational field in the bulk. Assuming the
elastic eikonal approximation in a larger impact-parameter range gives alpha
between 4/3 and 11/7. The actual intercept becomes 4/3 if one assumes the
elastic eikonal approximation within its maximally allowed range L larger than
exp{Y/3}, where Y is the total rapidity. Subleading AdS/CFT contributions at
large impact-parameter due to the other d=10 supergravity fields are obtained.
A divergence in the real part of the tachyonic KK scalar is cured by
analyticity but signals the need for a theoretical completion of the AdS/CFT
scheme.Comment: 25 pages, 3 eps figure
Asymptotic Energy Dependence of Hadronic Total Cross Sections from Lattice QCD
The nonperturbative approach to soft high-energy hadron-hadron scattering,
based on the analytic continuation of Wilson-loop correlation functions from
Euclidean to Minkowskian theory, allows to investigate the asymptotic energy
dependence of hadron-hadron total cross sections in lattice QCD. In this paper
we will show, using best fits of the lattice data with proper functional forms
satisfying unitarity and other physical constraints, how indications emerge in
favor of a universal asymptotic high-energy behavior of the kind B log^2 s for
hadronic total cross sections.Comment: Revised and extended version; 29 pages, 4 figure
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