Related papers: Connection between Diffraction and Small-$x$
We discuss various forms of the classical van der Corput's difference theorem and explore applications to and connections with the theory of uniform distribution, ergodic theory, topological dynamics and combinatorics.
For over a century diffraction theory has been thought to limit the resolution of focusing and imaging in the optical domain. The size of the smallest spot achievable is inversely proportional to the range of spatial wavevectors available.…
Following the Good-and-Walker picture, hard diffraction in the high-energy/small-x limit of QCD can be described in terms of eigenstates of the scattering matrix off a Color Glass Condensate. From the CGC non-linear evolution equations, it…
Recent developments in the theory and experiment of QCD hard scattering are described.
The main aims of this article are to characterize a class of operators associated with the symmetrized polydisc that admit rational dilations on the minimal space and to show an interplay between rational dilation and distinguished…
We refute past suggestions that the data on soft diffraction dissociation demand modifications to conventional Regge theory.
Some of the experimental and theoretical results discussed at the Fifth International Workshop on Deep Inelastic Scattering and QCD are reviewed.
I review recent progress in the determination of PDFs with the inclusion of small-x resummation, and its impact in precision phenomenology, and discuss future prospects.
A perspective on charm physics, emphasizing recent developments, future prospects, and the interplay with lattice QCD.
Based on the exact relationship to Random Matrix Theory, we derive the probability distribution of the k-th smallest Dirac operator eigenvalue in the microscopic finite-volume scaling regime of QCD and related gauge theories.
X-ray reflectivity and grazing incidence diffraction (XGID) from liquid surfaces are described.
This is an introduction to small divisors problems. The material treated in this book was brought together for a PhD course I tought at the University of Pisa in the spring of 1999. Here is a Table of Contents: Part I One Dimensional Small…
The correlation function of a $V-A$ current with a $V+A$ current is discussed within the framework of QCD in the limit of a large number of colours $N_c$. Applications to the evaluation of chiral condensates of dimension six and higher, as…
This Paper summarize the present status and near term perspectives for Diffractive Physics at Tevatron. We describe the new detectors that are being installed around the CDF and D0 interaction regions, and discuss he physics topics…
A new representation of Dirac's delta-distribution, based on the so-called q-exponentials, has been recently conjectured. We prove here that this conjecture is indeed valid.
Using a chiral random matrix theory we can now derive the low energy partition functions and Dirac eigenvalue correlations of QCD with different chemical potentials for the dynamical and valence quarks. The results can also be extended to…
We are raising questions on discrete and dense subgroups of Diff(I). Most of the questions are around the problems discussed in [A1]-[A4].
In this lecture we review recent lattice QCD studies of the statistical properties of the eigenvalues of the QCD Dirac operator. We find that the fluctuations of the smallest Dirac eigenvalues are described by chiral Random Matrix Theories…
I review the recent progress in small $x$ physics, concentrating on the topics relevant to the BFKL evolution.
This review is focused on QCD theoretical issues and their phenomenological relevance specially for LHC. It is incomplete and mostly neglects the phenomenology of long distance physics