Either by signing into your account or linking your membership details before your order is placed. Your points will be added to your account once your order is shipped. Click on the cover image above to read some pages of this book! On the 50th anniversary of Yang-Mills theory, this invaluable volume looks back at the developments and achievements in elementary particle physics that ensued from that beautiful idea. During the last five decades, Yang-Mills theory, which is undeniably the most important cornerstone of theoretical physics, has expanded widely.

## 50 Years of Yang-Mills Theory by World Scientific Publishing Co Pte Ltd (Paperback, 2005)

It has been investigated from many 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.

An international team of experts, each of whom has left his mark on the developments of this remarkable theory, contribute essays or more detailed technical accounts to this volume. These articles highlight the new discoveries from the respective authors' perspectives.

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Included in each article are introductory and explanatory remarks by the editor, G 't Hooft, who is himself a major player in the development of Yang-Mills theory. Help Centre. My Wishlist Sign In Join. Be the first to write a review. The Model. The Renormalization Conditions. Chapter 9 Anomalies to All Orders. Non-Renormalization of the Chiral Anomaly.

Appendix A.

- 50 Years of Yang-mills Theory?
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Some Details of the Zumino and Schwinger Calculations. Gauge Theory and Quantum Anomalies. Mathematical Connections. Gauge Formalism for General Relativity Variables. Asymptotic Freedom.

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YangMills Theory, Directly in the Phenomena. Consistency, Minimalism, Explanatory Method. Magnetic Monopoles. Monopoles in YangMillsHiggs Theories. Charge Quantization in Non-Abelian Theories. Cheshire Charge and Core Instabilities. Physics from Moduli Space. The mathematics of the Yang—Mills theory is a very active field of research, yielding e.

Here the prize-problem consists, especially, in a proof of the conjecture that the lowest excitations of a pure Yang—Mills theory i. Another open problem, connected with this conjecture, is a proof of the confinement property in the presence of additional Fermion particles.

## G. ’t Hooft. 50 Years of Yang-Mills Theory (World Scientific, ).

In physics the survey of Yang—Mills theories does not usually start from perturbation analysis or analytical methods, but more recently from systematic application of numerical methods to lattice gauge theories. From Wikipedia, the free encyclopedia. Physical theory unifying the electromagnetic, weak and strong interactions. Yang—Mills theory in the non- perturbative regime: The equations of Yang—Mills remain unsolved at energy scales relevant for describing atomic nuclei. How does Yang—Mills theory give rise to the physics of nuclei and nuclear constituents?

## 50 years of Yang-Mills theory / edited by Gerardus 't Hooft.

Feynman diagram. Standard Model. Quantum electrodynamics Electroweak interaction Quantum chromodynamics Higgs mechanism.

Incomplete theories. Anderson P. Susskind's "Superstrings, Physics World on the first non-abelian gauge theory" where Susskind wrote that Yang—Mills was "rediscovered" only because Pauli had chosen not to publish. Physical Review.

Bibcode : PhRv Physical Review Letters. Bibcode : PhRvL.. Physical Review D. Bibcode : PhRvD.. Nuclear Physics B. Bibcode : NuPhB.. Quantum field theories. History of quantum field theory Axiomatic quantum field theory Quantum field theory in curved spacetime. Categories : Concepts in physics Gauge theories Symmetry.

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