- ホーム
- > 洋書
- > 英文書
- > Science / Mathematics
Full Description
This volume contains the written versions of invited lectures presented at the 29th "Internationale Universitatswochen fiir Kernphysik" in Schladming, Aus tria, in March 1990. The generous support of our sponsors, the Austrian Ministry of Science and Research, the Government of Styria, and others, made it possible to invite expert lecturers. In choosing the topics of the course we have tried to select some of the currently most fiercely debated aspects of quantum field theory. It is a pleasure for us to thank all the speakers for their excellent presentations and their efforts in preparing the lecture notes. After the school the lecture notes were revised by the authors and partly rewritten ‾n '!EX. We are also indebted to Mrs. Neuhold for the careful typing of those notes which we did not receive in '!EX. Graz, Austria H. Mitter July 1990 W. Schweiger Contents An Introduction to Integrable Models and Conformal Field Theory By H. Grosse (With 6 Figures) .... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 1 1. Introduction ............................................. . 1 1.1 Continuous Integrable Models .......................... . 1 1.2 "Solvable" Models of Statistical Physics ................. . 2 1.3 The Yang-Baxter Relation ............................. . 3 1.4 Braids and I(nots .................................... . 3 1.5 Confonnal Field Theory d = 2 ......................... . 3 2. Integrable Continuum Models - The Inverse Scattering Method - Solitons .................... . 4 2.1 A General Scheme for Solving (Linear) Problems ......... . 4 2.2 The Direct Step ...................................... . 6 2.3 The Inverse Step ..................................... .
Contents
An Introduction to Integrable Models and Conformal Field Theory.- 1. Introduction.- 2. Integrable Continuum Models — The Inverse Scattering Method — Solitons.- 3. Integrable Lattice Systems.- 4. Conformal Field Theory.- References.- An Introduction to the Renormalization of Theories with Continuous Symmetries, to the Chiral Models and to Their Anomalies.- 1. The Renormalization of Field Equations.- 2. The Renormalization of Models with Continuous Symmetries.- 3. The Chiral Models and Their Current Algebra.- References.- Quantum Field Theory in Low Dimensional Space Time.- 1. Introduction.- 2. The Algebraic Approach to Quantum Field Theory.- 3. Composition of Sectors.- 4. Statistics.- 5. Left Inverses, Markov Traces and the Possible Braid Group Representations.- 6. The 2-Channel Situation.- 7. Exchange Algebras and R-Matrices.- 8. Rehren's Derivation of the Verlinde Algebra.- 9. Braid Group Statistics in 3 Dimensions.- 10. Conformal Light Cone Theories.- 11. Soliton Sectors in 2d Minkowski Space.- References.- From Integrable Models to Quantum Groups.- 1. Introduction to the Quantum Inverse Scattering Method.- 2. Quantum Groups.- 3. The Liouville Model.- 4. The Wess-Zumino-Novikov-Witten Model.- References.- Topics in Planar Physics.- 1. Overview.- 2. Planar Gauge Theories.- 3. Planar Gravity.- References.- Boundary Terms, Long Range Effects, and Chiral Symmetry Breaking.- 1. Introduction.- 2. The Hamiltonian Approach: Coupling to the Boundary and Variables at Infinity.- 3. The Lagrangean and Functional Integral Approach. Boundary Ward Identities.- 4. The Schwinger Model and the ? Angle Problem.- 5. Fermionic Integration, Boundary Conditions, and Chiral Symmetry.- 5. References.- Two-Dimensional Nonlinear Sigma Models: Orthodoxy and Heresy.- 1. Introduction.- 2.Beliefs.- 3. Critique.- 4. Heresy: Strategy for a Proof.- 5. Conclusions.- References.- Gauge-Independence of Anomalies.- 1. Introduction.- 2. Gauge-Invariance, Gauge-Dependence, External Symmetry.- 3. Quantization.- 4. Extended BRS-Identity, Internal Anomaiy.- 5. External Symmetries, External Anomalies.- 6. Ghost Number Anomaly for the Bosonic String.- 7. The Symmetry Extended BRS-Technique.- 8. Examples.- Appendix A: A Toy Model for [s,?a] ? 0.- References.- LEPs The First Hundred Days.- 1. Introduction.- 2. Electroweak Physics Results.- 3. QCD Results.- 4. Searches and Limits.- 5. LEP: What Next?.- References.- QCD and Nuclear Structure.- 1. Introduction.- 2. The Realm of Light Nuclei.- 3. A New Interpretation of Conventional Shell Structure.- 4. Conclusion.- References.
