Hadronic Physics From Lattice Qcd

- Several of the authors give elementary introductions that lead to some duplication. This we believe is a positive feature since each author presents a different viewpoint emphasizing the particular topic of that chapter - The topics chosen are the closest Lattice QCD comes to more conventional particle and nuclear physics - The numerical results presented in the various chapters are most up-to-date

With ever increasing computational resources and improvements in algorithms, new opportunities are emerging for lattice gauge theory to address key questions in strongly interacting systems, such as nuclear matter. Calculations today use dynamical gauge-field ensembles with degenerate light up/down quarks and the strange quark and it is possible now to consider including charm-quark degrees of freedom in the QCD vacuum. Pion masses and other sources of systematic error, such as finite-volume and discretization effects, are beginning to be quantified systematically. Altogether, an era of precision calculation has begun and many new observables will be calculated at the new computational facilities. The aim of this set of lectures is to provide graduate students with a grounding in the application of lattice gauge theory methods to strongly interacting systems and in particular to nuclear physics. A wide variety of topics are covered, including continuum field theory, lattice discretizations, hadron spectroscopy and structure, many-body systems, together with more topical lectures in nuclear physics aimed a providing a broad phenomenological background. Exercises to encourage hands-on experience with parallel computing and data analysis are included.

Lattice Hadron Physics draws upon the developments made in recent years in implementing chirality on the lattice via the overlap formalism. These developments exploit chiral effective field theory in order to extrapolate lattice results to physical quark masses, new forms of improving operators to remove lattice artefacts, analytical studies of finite-volume effects in hadronic observables, and state-of-the-art lattice calculations of excited resonances. This volume, comprised of selected lectures, is designed to assist those outside the field who want quickly to become literate in these topics. As such, it provides graduate students and experienced researchers in other areas of hadronic physics with the background through which they can appreciate, if not become active in, contemporary lattice-gauge theory and its applications to hadronic phenomena.

This 2004 book provides a pedagogical introduction to the perturbative and non-perturbative aspects of quantum chromodynamics (QCD). The text introduces the basic theory of QCD and its historical development, covering pre-QCD ideas of strong interactions such as the quark and parton models, the notion of colours and the S-matrix approach. The author then discusses gauge theory, techniques of dimensional regularization and renormalization, deep inelastic scattering and hard processes in hadron collisions, hadron jets and e+e- annihilations. Other topics include power corrections and the technologies of the Shifman-Vainshtein-Zakharov operating product expansion. The final parts of the book are devoted to modern non-perturbative approaches to QCD and the phenomenological aspects of QCD spectral sum rules. The book will be a valuable reference for graduate students and researchers in high-energy particle and nuclear physics, both theoretical and experimental. This book has been reissued as an Open Access publication on Cambridge Core.

Straddling the traditional disciplines of nuclear and particle physics, hadron physics is a vital and extremely active research area, as evidenced by a 2004 Nobel prize and new research facilities, such as that scheduled to open at CERN. Scientifically it is of vital importance in extrapolating our knowledge of quark-gluon physics at the sub-nucleo

An introduction to QCD, covering recent developments as well as giving a historical overview of the subject. Emphasis is placed on the method of QCD spectral sum rules, with applications to hadronic systems. Suitable for graduate students and researchers in high-energy and nuclear physics, both theoretical and experimental.

Lattice Hadron Physics draws upon the developments made in recent years in implementing chirality on the lattice via the overlap formalism. These developments exploit chiral effective field theory in order to extrapolate lattice results to physical quark masses, new forms of improving operators to remove lattice artefacts, analytical studies of finite-volume effects in hadronic observables, and state-of-the-art lattice calculations of excited resonances. This volume, comprised of selected lectures, is designed to assist those outside the field who want quickly to become literate in these topics. As such, it provides graduate students and experienced researchers in other areas of hadronic physics with the background through which they can appreciate, if not become active in, contemporary lattice-gauge theory and its applications to hadronic phenomena.

This thesis focuses on an unresolved problem in particle and nuclear physics: the relation between two important non-perturbative phenomena in quantum chromodynamics (QCD) – quark confinement and chiral symmetry breaking. The author develops a new analysis method in the lattice QCD, and derives a number of analytical formulae to express the order parameters for quark confinement, such as the Polyakov loop, its fluctuations, and the Wilson loop in terms of the Dirac eigenmodes closely related to chiral symmetry breaking. Based on the analytical formulae, the author analytically as well as numerically shows that at finite temperatures there is no direct one-to-one correspondence between them. The thesis describes this extraordinary achievement using the first-principle analysis, and proposes a possible new phase in which quarks are confined and chiral symmetry is restored.