Contents -- Preface -- Commentary -- 1 Gauge invariance in electromagnetism -- 1.1 A treatise on electricity and magnetism (1891) 3rd ed. (Dover New York 1954) article 616 -- 1.2 Space-time-matter (1922) 4th ed. English transl. H.L. Brose (Dover 1930). Preface and para. 35 -- 1.3 Quantenmechanische Deutung der Theorie von Weyl1) -- 1.4 Quantentheorie und fiinfdimensionale Relativitatstheorie -- 1.5 Uber die invariante Form der Wellen- und der Bewegungsgleichungen fur einen geladenen Massenpunkt1) -- 1.6 Significance of electromagnetic potentials in the quantum theory -- 1.7 Shift of an electron interference pattern by enclosed magnetic flux -- 2 Non-abelian gauge theories -- 2.1 Conservation of isotopic spin and isotopic gauge invariance -- 2.2 Invariance under general isotopic spin transformations -- 3 Gravity as a gauge theory -- 3.1 Lorentz invariance and the gravitational field -- 3.2 Integral formalism for gauge fields -- 4 Gauge invariance and superconductivity -- 4.1 Quasi-particles and gauge invariance in the theory of superconductivity -- 4.2 Possible new effects in superconductive tunnelling -- 4.3 Gauge invariance and mass -- 4.4 Plasmons gauge invariance and mass -- 5 Spontaneous symmetry breaking and particle physics -- 5.1 Broken symmetry and the mass of gauge vector mesons -- 5.2 Broken symmetries and the masses of gauge bosons -- 5.3 Global conservation laws and massless particles -- 5.4 Symmetry breaking in non-Abelian gauge theories -- 6 Gauge-fixing in non-abelian gauge theories -- 6.1 Quantum theory of gravitation -- 6.2 Feynman diagrams for the Yang-Mills field -- 6.3 Renormalizable Lagrangians for massive Yang-Mills fields -- 6.4 Quantization of non-Abelian gauge theories -- 7 Gauge identities and unitarity.

7.1 Renormalizable models with broken symmetry in "Renormalization Theory" -- 8 Asymptotic freedom -- 8.1 Ultraviolet behavior of non-Abelian gauge theories -- 8.2 Reliable perturbative results for strong interactions? -- 9 Monopoles and vortex lines -- 9.1 Quantized singularities in the electromagnetic field -- 9.2 Magnetic monopoles in unified gauge theories -- 9.3 Particle spectrum in quantum field theory -- 9.4 Vortex-line models for dual strings -- 10 Non-perturbative approaches -- 10.1 Confinement of quarks -- 10.2 Compact gauge fields and the infrared catastrophe -- 10.3 A planar diagram theory for strong interactions -- 11 Instantons and vacuum structure -- 11.1 Pseudoparticle solutions of the Yang-Mills equations -- 11.2 Vacuum periodicity in a Yang-Mills quantum theory -- 11.3 The structure of the gauge theory vacuum -- 12 Three-dimensional gauge fields and topological actions -- 12.1 Gauge noninvariance and parity nonconservation of three-dimensional fermions -- 13 Gauge theories and mathematics -- 13.1 Concept of nonintegrable phase factors and global formulation of gauge fields.