Confining Strings and High-Energy Reactions
FRANK DANIEL STEFFEN
We present the loop-loop correlation model that allows us to compute confining flux tubes and to examine their effects and manifestations in high-energy reactions.
CS_and_HER_Confinement2003.tex
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\begin{document}

\title{Confining Strings and High-Energy Reactions}

\author{FRANK DANIEL STEFFEN}
\address{
Institute for Theoretical Physics, Bern University\\
Sidlerstrasse~5, CH-3012 Bern, SWITZERLAND\\
E-mail: steffen@itp.unibe.ch}

%\author{F.~D.~STEFFEN$^1$ and A.~I.~SHOSHI$^2$}
%\footnote{\uppercase{T}his work is done in 
%collaboration with 
%\uppercase{H}.~\uppercase{G}.~\uppercase{D}osch
%(\uppercase{ITP}, \uppercase{H}eidelberg \uppercase{U}niversity) 
%and 
%\uppercase{H}.~\uppercase{J}.~\uppercase{P}irner 
%(\uppercase{ITP}, \uppercase{H}eidelberg \uppercase{U}niversity)}.}
%\address{$^1$ ITP, Bern University, Sidlerstrasse~5, CH-3012 Bern, SWITZERLAND\\ 
%$^2$ ITP, Heidelberg University, Philosophenweg 19, 69120 Heidelberg, GERMANY\\ 
%E-mail: steffen@itp.unibe.ch, shoshi@tphys.uni-heidelberg.de}


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% You may repeat \author \address as often as necessary      %
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\maketitle

\abstracts{We present the loop-loop correlation model that allows us
  to compute confining flux tubes and to examine their effects and
  manifestations in high-energy reactions.}

The loop-loop correlation model (LLCM) combines perturbative gluon
exchange with the non-perturbative stochastic vacuum
model.\cite{Shoshi:2002in+X} This combination describes the static
quark-antiquark potential with color Coulomb behavior for small and
confining linear rise for large source separations in agreement with
lattice results. Computing the chromo-electric fields of a static
color dipole in the fundamental and adjoint representation of
$SU(N_c)$, confining flux tubes are obtained for large dipoles that
show exact Casimir scaling.\cite{Shoshi:2002rd} Based on analytic
continuation, the Euclidean LLCM provides the $S$-matrix element
$S_\mathrm{DD}$ for high-energy dipole-dipole
scattering.\cite{Shoshi:2002rd} For reactions involving large dipoles,
we find clear manifestations of the confining strings. Convoluting
$S_\mathrm{DD}$ with appropriate wave functions to describe
dipole-hadron scattering, the confining string in the dipole can be
decomposed into stringless dipoles with a given dipole number density.
This allows us to calculate unintegrated gluon distributions of
hadrons and photons from dipole-hadron and dipole-photon cross
sections via $k_\perp$ factorization.\cite{Shoshi:2002fq}


\begin{thebibliography}{0}

% Loop-Loop Correlation Model
%
\bibitem{Shoshi:2002in+X}
%
%\bibitem{Shoshi:2002in}
A.~I.~Shoshi, F.~D.~Steffen, and H.~J.~Pirner,
%``S-matrix unitarity, impact parameter profiles, gluon saturation and  high-energy scattering,''
Nucl.\ Phys.\ A {\bf 709} (2002) 131;
%[arXiv:hep-ph/0202012].
%%CITATION = HEP-PH 0202012;%%
%
%\cite{Steffen:2003rd}
%\bibitem{Steffen:2003rd}
F.~D.~Steffen,
%``From static potentials to high-energy scattering,''
arXiv:hep-ph/0301084;
%%CITATION = HEP-PH 0301084;%%
%
%\cite{Shoshi:2002fw}
%\bibitem{Shoshi:2002fw}
A.~I.~Shoshi,
%``Anatomy of QCD strings and saturation effects in high-energy  scattering,''
arXiv:hep-ph/0302179.
%%CITATION = HEP-PH 0302179;%%

%\cite{Shoshi:2002rd}
\bibitem{Shoshi:2002rd}
A.~I.~Shoshi, F.~D.~Steffen, H.~G.~Dosch, and H.~J.~Pirner,
%``Confining QCD strings, Casimir scaling, and a Euclidean approach to  high-energy scattering,''
Phys.\ Rev.\ D, in press;
%{\bf 68} (2003) 0540XX;
arXiv:hep-ph/0211287.
%%CITATION = HEP-PH 0211287;%%

%\cite{Shoshi:2002fq}
\bibitem{Shoshi:2002fq}
A.~I.~Shoshi, F.~D~Steffen, H.~G.~Dosch, and H.~J.~Pirner,
%``Decomposition of the QCD string into dipoles and unintegrated gluon  distributions,''
Phys.\ Rev.\ D {\bf 66} (2002) 094019;
arXiv:hep-ph/0207287.
%%CITATION = HEP-PH 0207287;%%


\end{thebibliography}

\end{document}

hep-ph0310002.extracted_bib
\begin{thebibliography}{0}

% Loop-Loop Correlation Model
%
\bibitem{Shoshi:2002in+X}
%
%\bibitem{Shoshi:2002in}
A.~I.~Shoshi, F.~D.~Steffen, and H.~J.~Pirner,
%``S-matrix unitarity, impact parameter profiles, gluon saturation and  high-energy scattering,''
Nucl.\ Phys.\ A {\bf 709} (2002) 131;
%[arXiv:hep-ph/0202012].
%%CITATION = HEP-PH 0202012;%%
%
%\cite{Steffen:2003rd}
%\bibitem{Steffen:2003rd}
F.~D.~Steffen,
%``From static potentials to high-energy scattering,''
arXiv:hep-ph/0301084;
%%CITATION = HEP-PH 0301084;%%
%
%\cite{Shoshi:2002fw}
%\bibitem{Shoshi:2002fw}
A.~I.~Shoshi,
%``Anatomy of QCD strings and saturation effects in high-energy  scattering,''
arXiv:hep-ph/0302179.
%%CITATION = HEP-PH 0302179;%%

%\cite{Shoshi:2002rd}
\bibitem{Shoshi:2002rd}
A.~I.~Shoshi, F.~D.~Steffen, H.~G.~Dosch, and H.~J.~Pirner,
%``Confining QCD strings, Casimir scaling, and a Euclidean approach to  high-energy scattering,''
Phys.\ Rev.\ D, in press;
%{\bf 68} (2003) 0540XX;
arXiv:hep-ph/0211287.
%%CITATION = HEP-PH 0211287;%%

%\cite{Shoshi:2002fq}
\bibitem{Shoshi:2002fq}
A.~I.~Shoshi, F.~D~Steffen, H.~G.~Dosch, and H.~J.~Pirner,
%``Decomposition of the QCD string into dipoles and unintegrated gluon  distributions,''
Phys.\ Rev.\ D {\bf 66} (2002) 094019;
arXiv:hep-ph/0207287.
%%CITATION = HEP-PH 0207287;%%


\end{thebibliography}