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Theoretical predictions for high-energy collision processes at particle colliders, such as the Large Hadron Collider (LHC), rely on calculations in perturbative Quantum Chromodynamics (QCD), which are often computationally challenging. In…

High Energy Physics - Phenomenology · Physics 2024-12-31 Herschel A. Chawdhry , Mathieu Pellen

Chiral perturbation theory is a very general expansion method which can be applied to any dynamical system which has continuous global symmetries and in which the ground state breaks some of these spontaneously. In these lectures we explain…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. Moussallam

In order to understand QCD at the energies relevant to hadronic physics one requires analytical methods for dealing with relativistic gauge field theories at large couplings. Strongly coupled quenched QED provides an ideal laboratory for…

High Energy Physics - Theory · Physics 2009-10-31 A. W. Schreiber , R. Rosenfelder , C. Alexandrou

The energy range and quality of strong-interaction data from recent years demand the study of higher orders in perturbative QCD, and of nonperturbative effects. I discuss a selection of recent progress in the theory of QCD at high energy,…

High Energy Physics - Phenomenology · Physics 2007-05-23 George Sterman

A new approach is introduced to study QCD amplitudes at high energy and comparatively small momentum transfer. Novel cut diagrams, representing resummation of Feynman diagrams, are used to simplify calculation and to avoid delicate…

High Energy Physics - Phenomenology · Physics 2014-11-17 Y. J. Feng , O. Hamidi-Ravari , C. S. Lam

We employ quantum circuit learning to simulate quantum field theories (QFTs). Typically, when simulating QFTs with quantum computers, we encounter significant challenges due to the technical limitations of quantum devices when implementing…

High Energy Physics - Theory · Physics 2025-04-08 Kazuki Ikeda

Recent theoretical schemes for utilizing cavity QED models as quantum simulators are reviewed. By considering a quadrature representation for the fields, it is shown how Jahn-Teller models, effective Abelian or non-Abelian gauge potentials,…

Quantum Physics · Physics 2010-10-04 Jonas Larson

I briefly summarize the parallel sessions on Automated Calculation and Simulation Systems for high energy particle physics phenomenology at ACAT 2002 (Moscow State University, June 2002) and present a short overview over the current status…

High Energy Physics - Phenomenology · Physics 2009-11-07 Thorsten Ohl

This review describes the current status of precision QCD studies at the LHC. We introduce the main experimental and theoretical methods, discussing also their cross-stimulated developments and recent advances. The different types of QCD…

High Energy Physics - Phenomenology · Physics 2022-10-12 Thomas Gehrmann , Bogdan Malaescu

Here, we report briefly two topics: 1) The latest version of ``Analytic Perturbation Theory" (APT) devised recently for the QCD observables both in the Euclidean and Minkowskian regions. 2) Results of the APT--based calculation for some…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. V. Shirkov

This is a series of lecture notes explaining topos theory and its application in physics.

Mathematical Physics · Physics 2012-07-10 Cecilia Flori

This lecture note presents a self-contained introduction to the theory of a heavy quark-antiquark ($Q\bar{Q}$) system in terms of perturbative QCD. The lecture is intended for non-experts, such as graduate course students. The heavy…

High Energy Physics - Phenomenology · Physics 2014-12-01 Y. Sumino

This is a survey of motivations, constructions and applications of higher prequantum geometry. In section 1 we highlight the open problem of prequantizing local field theory in a local and gauge invariant way, and we survey how a solution…

Mathematical Physics · Physics 2023-11-07 Urs Schreiber

These lecture notes yield an introduction to quantum Hall effects both for non-relativistic electrons in conventional 2D electron gases (such as in semiconductor heterostructures) and relativistic electrons in graphene. After a brief…

Mesoscale and Nanoscale Physics · Physics 2009-10-21 M. O. Goerbig

Infrared divergences in the perturbative expansion of gauge theory amplitudes and cross sections have been a focus of theoretical investigations for almost a century. New insights still continue to emerge, as higher perturbative orders are…

High Energy Physics - Phenomenology · Physics 2021-12-16 Neelima Agarwal , Lorenzo Magnea , Chiara Signorile-Signorile , Anurag Tripathi

In this series of lectures directed towards a mainly mathematically oriented audience I try to motivate the use of operator algebra methods in quantum field theory. Therefore a title as ``why mathematicians are/should be interested in…

Mathematical Physics · Physics 2007-05-23 Bert Schroer

This talk serves as an introduction to higher twist effects in nuclei. We want to discuss how perturbative QCD can be applied to processes involving heavy nuclei by taking into account multiple scattering.

High Energy Physics - Phenomenology · Physics 2007-05-23 R. J. Fries

This work contains a set of lectures on defect structures, mainly in models described by scalar fields in diverse dimensions.

High Energy Physics - Theory · Physics 2007-05-23 Dionisio Bazeia

These lecture notes grew out of notes for courses around Integrable PDEs and the KdV equation given by the authors during the past five years at the University of Antwerp (Belgium). Comments and suggestions are welcome.

Exactly Solvable and Integrable Systems · Physics 2024-11-28 Sonja Hohloch , Federico Zadra

An introduction to methods of effective field theory is given. Examples are presented, including Rayleigh scattering from nonrelativistic quantum mechnics, chiral perturbation theory/QCD as well as electromagnetic and weak interactions of…

Nuclear Theory · Physics 2011-07-19 Barry R. Holstein