Ebook: Progress in Gauge Field Theory
Author: Luis Alvarez-Gaumé (auth.) G. ’t Hooft A. Jaffe H. Lehmann P. K. Mitter I. M. Singer R. Stora (eds.)
- Tags: Physics general
- Series: NATO ASI Series 115
- Year: 1984
- Publisher: Springer US
- Edition: 1
- Language: English
- pdf
The importance of gauge theory for elementary particle physics is by now firmly established. Recent experiments have yielded con vincing evidence for the existence of intermediate bosons, the carriers of the electroweak gauge force, as well as for the presence of gluons, the carriers of the strong gauge force, in hadronic inter actions. For the gauge theory of strong interactions, however, a number of important theoretical problems remain to be definitely resolved. They include the quark confinement problem, the quantita tive study of the hadron mass spectrum as well as the role of topo logy in quantum gauge field theory. These problems require for their solution the development and application of non-perturbative methods in quantum gauge field theory. These problems, and their non-pertur bative analysis, formed the central interest of the 1983 Cargese summer institute on "Progress in Gauge Field Theory. " In this sense it was a natural sequel to the 1919 Cargese summer institute on "Recent Developments in Gauge Theories. " Lattice gauge theory provides a systematic framework for the investigation of non-perturbative quantum effects. Accordingly, a large number of lectures dealt with lattice gauge theory. Following a systematic introduction to the subject, the renormalization group method was developed both as a rigorous tool for fundamental questions, and in the block-spin formulation, the computations by Monte Carlo programs. A detailed analysis was presented of the problems encountered in computer simulations. Results obtained by this method on the mass spectrum were reviewed.
Content:
Front Matter....Pages i-x
An Introduction to Gravitational Anomalies....Pages 1-22
Dirac Monopoles, from d = 2 to d = 5, Lecture I....Pages 23-50
Charge-Pole Dynamics, Lecture II....Pages 51-78
Exact Renormalization Group for Gauge Theories....Pages 79-103
The Spectrum in Lattice Gauge Theories....Pages 105-154
Lattices, Demons and the Microcanonical Ensemble....Pages 155-167
Quantum Field Theory in Terms of Random Walks and Random Surfaces....Pages 169-233
Rigorous Renormalization Group and Large N....Pages 235-246
On K?hler’s Geometric Description of Dirac Fields....Pages 247-270
Planar Diagram Field Theories....Pages 271-335
Fields on a Random Lattice....Pages 337-371
Defect Mediated Phase Transitions in Superfluids, Solids, and their Relation to Lattice Gauge Theories....Pages 373-401
Lattice Gauge Theory....Pages 403-433
Constructive Theory of Critical Phenomena....Pages 435-449
On a Relation Between Finite Size Effects and Elastic Scattering Processes....Pages 451-472
Renormalization Group and Mayer Expansions....Pages 473-495
Guage Invariant Frequency Splitting in Non Abelian Lattice Guage Theory....Pages 497-529
Prolegomena to any Future Computer Evaluation of the QCD Mass Spectrum....Pages 531-541
Algebraic Structure and Topological Origin of Anomalies....Pages 543-562
Morse Theory and Monopoles: Topology in Long Range Forces....Pages 563-587
Back Matter....Pages 605-608
Monte Carlo Renormalization Group and the Three Dimensional Ising Model....Pages 589-604
Content:
Front Matter....Pages i-x
An Introduction to Gravitational Anomalies....Pages 1-22
Dirac Monopoles, from d = 2 to d = 5, Lecture I....Pages 23-50
Charge-Pole Dynamics, Lecture II....Pages 51-78
Exact Renormalization Group for Gauge Theories....Pages 79-103
The Spectrum in Lattice Gauge Theories....Pages 105-154
Lattices, Demons and the Microcanonical Ensemble....Pages 155-167
Quantum Field Theory in Terms of Random Walks and Random Surfaces....Pages 169-233
Rigorous Renormalization Group and Large N....Pages 235-246
On K?hler’s Geometric Description of Dirac Fields....Pages 247-270
Planar Diagram Field Theories....Pages 271-335
Fields on a Random Lattice....Pages 337-371
Defect Mediated Phase Transitions in Superfluids, Solids, and their Relation to Lattice Gauge Theories....Pages 373-401
Lattice Gauge Theory....Pages 403-433
Constructive Theory of Critical Phenomena....Pages 435-449
On a Relation Between Finite Size Effects and Elastic Scattering Processes....Pages 451-472
Renormalization Group and Mayer Expansions....Pages 473-495
Guage Invariant Frequency Splitting in Non Abelian Lattice Guage Theory....Pages 497-529
Prolegomena to any Future Computer Evaluation of the QCD Mass Spectrum....Pages 531-541
Algebraic Structure and Topological Origin of Anomalies....Pages 543-562
Morse Theory and Monopoles: Topology in Long Range Forces....Pages 563-587
Back Matter....Pages 605-608
Monte Carlo Renormalization Group and the Three Dimensional Ising Model....Pages 589-604
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