Ebook: Nonperturbative Quantum Field Theory

---

Content:
Front Matter....Pages i-ix
Operator Methods in String Theory....Pages 1-11
On the Fixed Point Formula and the Rigidity Theorems of Witten Lectures at Carg?se 1987....Pages 13-32
Non-Commutative Geometry....Pages 33-69
Statistics of Fields, the Yang-Baxter Equation, and the Theory of Knots and Links....Pages 71-100
Topological Actions in Two-Dimensional Quantum Field Thories....Pages 101-141
Issues in Superstring Theory....Pages 143-172
Lectures on Heterotic String and Orbifold Compactifications....Pages 173-199
Quantum Gravity and Black Holes....Pages 201-226
Supersymmetric Quantum Fields and Infinite Dimensional Analysis....Pages 227-280
Solution of the Lattice ?4 Theory in 4 Dimensions....Pages 281-307
Multigrid Methods in Quantum Field Theory....Pages 309-351
Introduction to Conformal Invariant Quantum Field Theory in Two and More Dimensions....Pages 353-383
Continuous Wilson Renormalization Group and the 2-D O(N) Non-Linear ?- Model....Pages 385-425
Numerical Simulations: Old and New Problems....Pages 427-432
The Role of Locality in String Quantization....Pages 433-444
On the BRST Structure of the Closed String and Superstring Theory....Pages 445-452
The A-D-E Classification of Conformal Invariant Field Theories in Two Dimensions....Pages 453-466
The Breakdown of Dimensional Reduction....Pages 467-473
Vanishing Vacuum Energies for Nonsupersymmetric Strings....Pages 475-500
Torsion Constraints and Super Riemann Surfaces....Pages 501-502
Renormalization Theory for Use in Convergent Expansions of Euclidean Quantum Field Theory....Pages 503-511
Power Counting and Renormalization in Lattice Field Theory....Pages 513-519
Open Strings and their Symmetry Groups....Pages 521-528
New Methods and Results in Conformal QFT2 and the “String Idea”....Pages 529-554
On V. Pasquier A-D-E Models....Pages 555-566
Generalization of the Sugawara Construction....Pages 567-575
Conformal Field Theory at C=1....Pages 577-590
Geometric Realization of Conformal Field Theory on Riemann Surfaces....Pages 591-598
Back Matter....Pages 599-603

---

Content:
Front Matter....Pages i-ix
Operator Methods in String Theory....Pages 1-11
On the Fixed Point Formula and the Rigidity Theorems of Witten Lectures at Carg?se 1987....Pages 13-32
Non-Commutative Geometry....Pages 33-69
Statistics of Fields, the Yang-Baxter Equation, and the Theory of Knots and Links....Pages 71-100
Topological Actions in Two-Dimensional Quantum Field Thories....Pages 101-141
Issues in Superstring Theory....Pages 143-172
Lectures on Heterotic String and Orbifold Compactifications....Pages 173-199
Quantum Gravity and Black Holes....Pages 201-226
Supersymmetric Quantum Fields and Infinite Dimensional Analysis....Pages 227-280
Solution of the Lattice ?4 Theory in 4 Dimensions....Pages 281-307
Multigrid Methods in Quantum Field Theory....Pages 309-351
Introduction to Conformal Invariant Quantum Field Theory in Two and More Dimensions....Pages 353-383
Continuous Wilson Renormalization Group and the 2-D O(N) Non-Linear ?- Model....Pages 385-425
Numerical Simulations: Old and New Problems....Pages 427-432
The Role of Locality in String Quantization....Pages 433-444
On the BRST Structure of the Closed String and Superstring Theory....Pages 445-452
The A-D-E Classification of Conformal Invariant Field Theories in Two Dimensions....Pages 453-466
The Breakdown of Dimensional Reduction....Pages 467-473
Vanishing Vacuum Energies for Nonsupersymmetric Strings....Pages 475-500
Torsion Constraints and Super Riemann Surfaces....Pages 501-502
Renormalization Theory for Use in Convergent Expansions of Euclidean Quantum Field Theory....Pages 503-511
Power Counting and Renormalization in Lattice Field Theory....Pages 513-519
Open Strings and their Symmetry Groups....Pages 521-528
New Methods and Results in Conformal QFT2 and the “String Idea”....Pages 529-554
On V. Pasquier A-D-E Models....Pages 555-566
Generalization of the Sugawara Construction....Pages 567-575
Conformal Field Theory at C=1....Pages 577-590
Geometric Realization of Conformal Field Theory on Riemann Surfaces....Pages 591-598
Back Matter....Pages 599-603
....