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This volume contains articles related to the conference ``Motives, Quantum Field Theory, and Pseudodifferntial Operators'' held at Boston University in June 2008, with partial support from the Clay Mathematics Institute, Boston University, and the National Science Foundation. There are deep but only partially understood connections between the three conference fields, so this book is intended both to explain the known connections and to offer directions for further research. In keeping with the organization of the conference, this book contains introductory lectures on each of the conference themes and research articles on current topics in these fields. The introductory lectures are suitabl...
The production of heavy quarks in high-energy experiments offers a rich field to study, both experimentally and theoretically. Due to the additional quark mass, the description of these processes in the framework of perturbative QCD is much more demanding than it is for those involving only massless partons. In the last two decades, a large amount of precision data has been collected by the deep inelastic HERA experiment. In order to make full use of these data, a more precise theoretical description of charm quark production in deep inelastic scattering is needed. This work deals with the first calculation of fixed moments of the NNLO heavy flavor corrections to the proton structure function F2 in the limit of a small charm-quark mass. The correct treatment of these terms will allow not only a more precise analysis of the HERA data, but starting from there also a more precise determination of the parton distribution functions and the strong coupling constant, which is an essential input for LHC physics. The complexity of this calculation requires the application and development of technical and mathematical methods, which are also explained here in detail.
The book is centered around the research areas of combinatorics, special functions, and computer algebra. What these research fields share is that many of their outstanding results do not only have applications in Mathematics, but also other disciplines, such as computer science, physics, chemistry, etc. A particular charm of these areas is how they interact and influence one another. For instance, combinatorial or special functions' techniques have motivated the development of new symbolic algorithms. In particular, first proofs of challenging problems in combinatorics and special functions were derived by making essential use of computer algebra. This book addresses these interdisciplinary aspects. Algorithmic aspects are emphasized and the corresponding software packages for concrete problem solving are introduced. Readers will range from graduate students, researchers to practitioners who are interested in solving concrete problems within mathematics and other research disciplines.
This book discusses the latest advances in algorithms for symbolic summation, factorization, symbolic-numeric linear algebra and linear functional equations. It presents a collection of papers on original research topics from the Waterloo Workshop on Computer Algebra (WWCA-2016), a satellite workshop of the International Symposium on Symbolic and Algebraic Computation (ISSAC’2016), which was held at Wilfrid Laurier University (Waterloo, Ontario, Canada) on July 23–24, 2016. This workshop and the resulting book celebrate the 70th birthday of Sergei Abramov (Dorodnicyn Computing Centre of the Russian Academy of Sciences, Moscow), whose highly regarded and inspirational contributions to symbolic methods have become a crucial benchmark of computer algebra and have been broadly adopted by many Computer Algebra systems.
Small-x Behavior of Deep Inelastic Structure Functions in QCD covers the proceedings of the DESY topical meeting entitled ""Small-x Behavior of Deep Inelastic Structure Functions in QCD"", held in DESY, Hamburg, Germany on May 14-16, 1990. The book focuses on Quantum Chromo Dynamics (QCD) structure function technology, including structure function measurements, photon structure, multi-parton interactions, and hadronic collisions. The selection first offers information on structure function measurements at Hera and pomeron and odderon in QCD and a two-dimensional conformal field theory. Topics include nucleon structure function measurements, handles on the gluon distribution, and photon struc...
Experts on elementary-particle physics, both theorists and experimentalists, met to present their latest results on the various aspects of HERA physics, specifically, the H1 and ZEUS collaborations at HERA and the collaborations at LEP and the Tevatron were presented. The topics included: proton structure function; polarized "ep" scattering; final states in deep-inelastic scattering (DIS), with special emphasis on jet production at low x, power corrections in DIS, soft particle production, and instanton effects; photon structure function; photoproduction of jets and hadrons; heavy-flavour and charmonium production; elastic and diffractive ep scattering; and new physics at HERA.
Despite his accidental death in June 1942 at the age of 38, Alan Dower Blumlein was unquestionably one of the century s most creative engineers and filed some 140 patents. He was the driving force and inspiration behind a vast number of fundamental innovations in the fields of radar, electronics and sound recording, amongst which he held perhaps the landmark patent enabling stereo sound. Surprisingly, until 1999 there had been no biographies of this remarkable man. The IEE is proud to rectify this by publication of this scholarly treatment of Blumlein's life, which includes a foreword by his eldest son.
DIS 2005 is the 13th in a series of annual workshops on Deep Inelastic Scattering (DIS) and Quantum Chromodynamics (QCD). The aim of these workshops is to review the progress in the field of DIS and QCD and to discuss and lay the groundwork for the future. DIS 2005 brought together 280 experimentalists and theorists to discuss the latest theoretical developments and new experimental results from HERA, TeVatron, SLAC, CERN, RHIC and Jefferson Lab.