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Gauge theories in the twentieth century

Author: John C Taylor
Publisher: London : Imperial College Press, ©2001.
Edition/Format:   Print book : EnglishView all editions and formats
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This volume brings together the key papers in the history of gauge theories, including the discoveries of: the role of gauge transformations in the quantum theory of electrically charged particles in  Read more...

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Document Type: Book
All Authors / Contributors: John C Taylor
ISBN: 1860942814 9781860942815 1860942822 9781860942822
OCLC Number: 48760575
Language Note: Chiefly English, some articles in German with English translation.
Description: xxi, 380 pages : illustrations ; 27 cm
Contents: 1. Gauge invariance in electromagnetism --
1.1. A treatise on electricity and magnetism (1891) / J.E. Maxwell --
1.2. Space-time-matter / H. Weyl --
1.3. Quantenmechanische Deutung der Theorie von Weyl / F. London --
1.3e. Quantum mechanical interpretation of Weyl's theory --
1.4. Quantentheorie und funfdimensionale Relativitatstheorie / O. Klein --
1.4e. Quantum theory and five-dimensional theory of relativity --
1.5. Uber die invariante Form der Wellen- und der Bewegungsgleichungen fur einen geladenen Massenpunkt / V. Fock --
1.5e. On the invariant form of the wave equations and the equations of motion for a charged point mass --
1.6. Significance of electromagnetic potentials in the quantum theory / Y. Aharonov and D. Bohm --
1.7. Shift of an electron interference pattern by enclosed magnetic flux / R.G. Chambers --
2. Non-abelian gauge theories --
2.1. Conservation of isotopic spin and isotopic gauge invariance / C.N. Yang and R.L. Mills --
2.2. Invariance under general isotopic spin transformations / R. Shaw --
3. Gravity as a gauge theory --
3.1. Lorentz invariance and the gravitational field / T.W.B. Kibble --
3.2. Integral formalism for gauge fields / C.N. Yang --
4. Gauge invariance and superconductivity --
4.1. Quasi-particles and gauge invariance in the theory of superconductivity / Y. Nambu --
4.2. Possible new effects in superconductive tunnelling / B.D. Josephson --
4.3. Gauge invariance and mass / J. Schwinger --
4.4. Plasmons, gauge invariance, and mass / P.W. Anderson --
5. Spontaneous symmetry breaking and particle physics --
5.1. Broken symmetry and the mass of gauge vector mesons / F. Englert and R. Brout --
5.2. Broken symmetries and the masses of gauge bosons / P.W. Higgs --
5.3. Global conservation laws and massless particles / G.S. Guralnik, C.R. Hagen and T.W.B. Kibble --
5.4. Symmetry breaking in non-Abelian gauge theories / T.W.B. Kibble --
6. Gauge-fixing in non-abelian gauge theories --
6.1. Quantum theory of gravitation / R.P. Feynman --
6.2. Feynman diagrams for the Yang-Mills field / L.D. Faddeev and V.N. Popov --
6.3. Renormalizable Lagrangians for massive Yang-Mills fields / G. 't Hooft --
6.4. Quantization of non-Abelian gauge theories / V.N. Gribov --
7. Gauge identities and unitarity --
7.1. Renormalizable models with broken symmetry / C. Becchi, A. Rouet and R. Stora --
8. Asymptotic freedom --
8.1. Ultraviolet behavior of non-Abelian gauge theories / D.J. Gross and F. Wilczek --
8.2. Reliable perturbative results for strong interactions? / H.D. Politzer --
9. Monopoles and vortex lines --
9.1. Quantized singularities in the electromagnetic field / P.A.M. Dirac --
9.2. Magnetic monopoles in unified gauge theories / G. 't Hooft --
9.3. Particle spectrum in quantum field theory / A.M. Polyakov --
9.4. Vortex-line models for dual strings / H.B. Nielsen and P. Olesen --
10. Non-perturbative approaches --
10.1. Confinement of quarks / K.G. Wilson --
10.2. Compact gauge fields and the infrared catastrophe / A.M. Polyakov --
10.3. A planar diagram theory for strong interactions / G. 't Hooft --
11. Instantons and vacuum structure --
11.1. Pseudoparticle solutions of the Yang-Mills equations / A.A. Belavin, A.M. Polyakov and A.S. Schwartz / [and others] --
11.2. Vacuum periodicity in a Yang-Mills quantum theory / B. Jackiw and C. Rebbi --
11.3. The structure of the gauge theory vacuum / C.G. Callan, Jr., R.F. Dashen and D.J. Gross --
12. Three-dimensional gauge fields and topological actions --
12.1. Gauge noninvariance and parity nonconservation of three-dimensional fermions / A.N. Redlich --
13. Gauge theories and mathematics --
13.1. Concept of nonintegrable phase factors and global formulation of gauge fields / T.T. Wu and C.N. Yang.
Responsibility: editor John C. Taylor.
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"J C Taylor recently edited a collection of original articles on gauge theory, starting with a few pages from Maxwell's 'Treatise'. The collection is well chosen, and is introduced by an instructive Read more...

 
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