Author | Schwarz, Albert S. author |
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Title | Quantum Field Theory and Topology [electronic resource] / by Albert S. Schwarz |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1993 |
Connect to | http://dx.doi.org/10.1007/978-3-662-02943-5 |
Descript | VIII, 276 p. online resource |
Definitions and Notations -- 1 The Simplest Lagrangians -- 2 Quadratic Lagrangians -- 3 Internal Symmetries -- 4 Gauge Fields -- 5 Particles Corresponding to Nonquadratic Lagrangians -- 6 Lagrangians of Strong, Weak and Electromagnetic Interactions -- 7 Grand Unifications -- 8 Topologically Stable Defects -- 9 Topological Integrals of Motion -- 10 A Two-Dimensional Model. Abrikosov Vortices -- 11 โt HooftโPolyakov Monopoles -- 12 Topological Integrals of Motion in Gauge Theory -- 13 Particles in Gauge Theories -- 14 The Magnetic Charge -- 15 Electromagnetic Field Strength and Magnetic Charge in Gauge Theories -- 16 Extrema of Symmetric Functionals -- 17 Symmetric Gauge Fields -- 18 Estimates of the Energy of a Magnetic Monopole -- 19 Topologically Non-Trivial Strings -- 20 Particles in the Presence of Strings -- 21 Nonlinear Fields -- 22 Multivalued Action Integrals -- 23 Functional Integrals -- 24 Applications of Functional Integrals to Quantum Theory -- 25 Quantization of Gauge Theories -- 26 Elliptic Operators -- 27 The Index and Other Properties of Elliptic Operators -- 28 Determinants of Elliptic Operators -- 29 Quantum Anomalies -- 30 Instantons -- 31 The Number of Instanton Parameters -- 32 Computation of the Instanton Contribution -- 33 Functional Integrals for a Theory Containing Fermion Fields -- 34 Instantons in Quantum Chromodynamics -- 35 Topological Spaces -- 36 Groups -- 37 Gluings -- 38 Equivalence Relations and Quotient Spaces -- 39 Group Representations -- 40 Group Actions -- 41 The Adjoint Representation of a Lie Group -- 42 Elements of Homotopy Theory -- 43 Applications of Topology to Physics -- Bibliographical Remarks -- References