During the last six decades, Yang-Mills theory has increasingly become the cornerstone of theoretical physics. It is seemingly the only fully consistent relativistic quantum many-body theory in four space-time dimensions. As such it is the underlying theoretical framework for the Standard Model of Particle Physics, which has been shown to be the correct theory at the energies we now can measure. It has been investigated also from many other perspectives, and many new and unexpected features have been uncovered from this theory. In recent decades, apart from high energy physics, the theory has been actively applied in other branches of physics, such as statistical physics, condensed matter physics, nonlinear systems, etc. This makes the theory an indispensable topic for all who are involved in physics.The conference celebrated the exceptional achievements using Yang-Mills theory over the years but also many other truly remarkable contributions to different branches of physics from Prof C N Yang. This volume collects the invaluable talks by Prof C N Yang and the invited speakers reviewing these remarkable contributions and their importance for the future of physics.

The Roman Catholic faith has inspired some of the world's greatest creative works and has been a powerful force in history from the Roman Empire to the present. Catholic writers reflect their heritage in their works, and generations of readers have continued to appreciate the Catholic literary tradition. Many works by Catholic writers hold a high place in the literary canon and have exerted a tremendous cultural and political influence. Still others continue to be widely read by contemporary readers and quietly shape modern society. Some works, too, reflect the conflicts of the Catholic Church in the 21st century and capture the struggles of individual Catholics in a secular society. This encyclopedia covers the vast riches of the Catholic literary tradition from its origins to the present day. Included are substantial entries on more than 70 major works from around the world. A special effort has been made to cover women writers and writers of diverse racial and ethnic backgrounds, whose works reflect the many dimensions of the Catholic experience. The encyclopedia provides entries on such writers and works as St. Augustine's Confessions, Catherine of Siena's Dialogue, Dante's The Divine Comedy, Sandra Cisneros' The House on Mango Street, J.R.R. Tolkien's The Lord of the Rings, and Muriel Spark's Memento Mori. Each entry is written by an expert contributor and includes a biography of the writer, a plot summary of a major work, an extended critical discussion, an overview of the work's critical reception, and a selected bibliography. The entries give detailed attention to particular works and explore their relation to Catholic thought. The encyclopedia concludes with a selected, general bibliography.

The future of physics -- revisited / C.N. Yang -- Quantum chromodynamics - the perfect Yang-Mills gauge field theories / David Gross -- Maximally supersymmetric Yang-Mills theory - the story of N=4 Yang-Mills theory / Lars Brink -- The lattice and quantized Yang-Mills theory / Michael Creutz -- Yang-Mills theories at high energy accelerators / George Sterman -- Yang-Mills theory at 60: milestones, landmarks, and interesting questions / Ling-Lie Chau -- Discovery of the first Yang-Mills gauge particle - the gluon / Sau Lan Wu -- Yang-Mills gauge theory and Higgs particle / T.T. Wu & S.L. Wu -- Senario for the renormalization in the 4D Yang-Mills theory / Ludwig Faddeev -- Statistical physics in the oeuvre of Chen Ning Yang / Michael E. Fisher -- Quantum vorticity in nature / Kerson Huang -- Yang-Mills theory and fermionic path integrals / Kazuo Fujikawa -- Yang-Mills gauge theory and the Higgs boson family / Ngee-pong Chang -- On the physics of the minimal length: the questions of gauge invariance / Lay Nam Chang -- Generalization of the Yang-Mills theory / George Savvidy -- Some thoughts about Yang-Mills theory / Anthony Zee -- Gauging quantum groups: Yang-Baxter joining Yang-Mills / Yong Shi Wu -- The framed standard model (I) - a physics case for framing the Yang-Mills theory / Hong Mo Chan -- The framed standard model (II) - a first test against experiment / Sheung Tsun Tsou -- On the study of the Higgs properties at a muon collider / Mario Greco -- Aharonov-Bohm types of phases in Maxwell and Yang-Mills field theories / Bruce McKellar -- Yang-Mills for historians and philosophers / Robert Crease -- Gauge concepts in theoretical applied physics / Seng Ghee Tan & M.B.A. Jalil -- Yang-Yang equilibrium statistical mechanics: a brilliant method / Xi-Wen Guan & Yang-Yang Chen -- Chern-Simons theory, Vassiliev invariants, loop quantum gravity and functional integration without integration / Louis Kauffman -- The scattering equations and their off-shell extension / Edward Yao York Peng -- Feynman geometries / Hu Sen & Andrey Losev -- Particle accelerator development: selected examples / Jie Wei -- A new storage-ring light source / Alexander Chao -- New contributions to physics by Prof. Yang: 2009-2011 / Zhong Qi Ma -- "Brief overview of C.N. Yang's 13 important contributions to physics" / Yu Shi.

This monograph aims to provide a unified, geometrical foundation of gauge theories of elementary particle physics. The underlying geometrical structure is unfolded in a coordinate-free manner via the modern mathematical notions of fibre bundles and exterior forms. Topics such as the dynamics of Yang-Mills theories, instanton solutions and topological invariants are included. By transferring these concepts to local space-time symmetries, generalizations of Einstein's theory of gravity arise in a Riemann-Cartan space with curvature and torsion. It provides the framework in which the (broken) Poincaré gauge theory, the Rainich geometrization of the Einstein-Maxwell system, and higher-dimensional, non-abelian Kaluza-Klein theories are developed. Since the discovery of the Higgs boson, concepts of spontaneous symmetry breaking in gravity have come again into focus, and, in this revised edition, these will be exposed in geometric terms. Quantizing gravity remains an open issue: formulating it as a de Sitter type gauge theory in the spirit of Yang-Mills, some new progress in its topological form is presented. After symmetry breaking, Einstein’s standard general relativity with cosmological constant emerges as a classical background. The geometrical structure of BRST quantization with non-propagating topological ghosts is developed in some detail.

This volume is a compilation of works which, taken together, give a complete and consistent presentation of instanton calculus in non-Abelian gauge theories, as it exists now. Some of the papers reproduced are instanton classics. Among other things, they show from a historical perspective how the instanton solution has been found, the motivation behind it and how the physical meaning of instantons has been revealed. Other papers are devoted to different aspects of instanton formalism including instantons in supersymmetric gauge theories. A few unsolved problems associated with instantons are described in great detail. The papers are organized into several sections that are linked both logically and historically, accompanied by extensive comments.

'Harald Fritzsch and Murray Gell-Mann, the two fathers of quantum chromodynamics, look back at the events that led to the discovery, and eventually acceptance, of quarks as constituent particles ... it is always worthwhile to reminisce about those times when theoretical physicists were truly eclectic, these stories are the testimony of a very active era, in which theoretical and experimental discoveries rapidly chased one another ... Of central importance now is the understanding of the composition of our universe, the dark matter and dark energy, the hierarchy of masses and forces, and a consistent quantum framework of unification of all forces of nature, including gravity. The closing contributions of the book put this venture in the context of today's high-energy physics programme, and make a connection to the most popular ideas in high-energy physics today, including supersymmetry, unification and string theory.'CERN CourierToday it is known that the atomic nuclei are composed of smaller constituents, the quarks. A quark is always bound with two other quarks, forming a baryon or with an antiquark, forming a meson. The quark model was first postulated in 1964 by Murray Gell-Mann — who coined the name “quark” from James Joyce's novel Finnegans Wake — and by George Zweig, who then worked at CERN. In the present theory of strong interactions — Quantum Chromodynamics proposed by H Fritzsch and Gell-Mann in 1972 — the forces that bind the quarks together are due to the exchange of eight gluons.On the 50th anniversary of the quark model, this invaluable volume looks back at the developments and achievements in the elementary particle physics that eventuated from that beautiful model. Written by an international team of distinguished physicists, each of whom have made major developments in the field, the volume provides an essential overview of the present state to the academics and researchers.

This text provides a framework for describing and organizing the basic forces of nature and the interactions of subatomic particles. A detailed and self-contained mathematical account of gauge theory, it is geared toward beginning graduate students and advanced undergraduates in mathematics and physics. This well-organized treatment supplements its rigor with intuitive ideas. Starting with an examination of principal fiber bundles and connections, the text explores curvature; particle fields, Lagrangians, and gauge invariance; Lagrange's equation for particle fields; and the inhomogeneous field equation. Additional topics include free Dirac electron fields; interactions; calculus on frame bundle; and unification of gauge fields and gravitation. The text concludes with references, a selected bibliography, an index of notation, and a general index.

Based on a highly regarded lecture course at Moscow State University, this is a clear and systematic introduction to gauge field theory. It is unique in providing the means to master gauge field theory prior to the advanced study of quantum mechanics. Though gauge field theory is typically included in courses on quantum field theory, many of its ideas and results can be understood at the classical or semi-classical level. Accordingly, this book is organized so that its early chapters require no special knowledge of quantum mechanics. Aspects of gauge field theory relying on quantum mechanics are introduced only later and in a graduated fashion--making the text ideal for students studying gauge field theory and quantum mechanics simultaneously. The book begins with the basic concepts on which gauge field theory is built. It introduces gauge-invariant Lagrangians and describes the spectra of linear perturbations, including perturbations above nontrivial ground states. The second part focuses on the construction and interpretation of classical solutions that exist entirely due to the nonlinearity of field equations: solitons, bounces, instantons, and sphalerons. The third section considers some of the interesting effects that appear due to interactions of fermions with topological scalar and gauge fields. Mathematical digressions and numerous problems are included throughout. An appendix sketches the role of instantons as saddle points of Euclidean functional integral and related topics. Perfectly suited as an advanced undergraduate or beginning graduate text, this book is an excellent starting point for anyone seeking to understand gauge fields.

As part of the commemorative book series on Singapore's 50 years of nation-building, this important compendium traces the history and development of the various sectors of Singapore science in the last 50 years or so. The book covers the government agencies responsible for science funding and research policy, the academic institutions and departments who have been in the forefront of the development of the nation's scientific manpower and research, the research centres and institutes which have been breaking new ground in both basic and applied science research, science museums and education, and the academic and professional institutions which the scientific community has set up to enable Singapore scientists to serve the nation more effectively.Each article is chronicled by eminent authors who have played important roles and made significant contributions in shaping today's achievement of science in Singapore.Professionals, academics, students and the general public will find this volume a useful reference material and an inspirational easy read.