Contents -- Foreword by the Editors -- I Gauge Field Theory and Particle Physics -- 1. Noncovariant Gauges at Zero and Nonzero Temperature P. V. Landshoff -- 1.1. Introduction -- 1.2. Temporal gauge at finite temperature -- 1.3. Thermal field theory in temporal gauge -- References -- 2. Non-Relativistic Bound States: The LongWay Back from the Bethe-Salpeter to the Schrödinger Equation A. Vairo -- 2.1. Introduction -- 2.2. The Bethe-Salpeter equation -- 2.3. NRQED/NRQCD -- 2.4. The bound state in dimensional regularization -- 2.5. pNRQED/pNRQCD -- 2.6. Outlook -- Acknowledgments -- References -- 3. Distended/Diminished Topologically Massive Electrodynamics S. Deser -- 3.1. Introduction -- 3.2. E(xtended)TME -- 3.3. C(osmological)ETME -- 3.4. Sources -- 3.5. Summary -- Acknowledgments -- References -- 4. Dynamical Spin P. G. O. Freund -- 4.1. Dedication -- 4.2. Introduction -- 4.3. Magnetic charges in higher dimensional spaces -- 4.4. Composite picture -- References -- 5. Quantum Corrections to Solitons and BPS Saturation A. Rebhan, P. van Nieuwenhuizen and R. Wimmer -- 5.1. Introduction -- 5.2. The simplest case: the susy kink and its "new anomaly" -- 5.2.1. Mass -- 5.2.2. Central Charge -- 5.3. Boundary terms and composite operator renormalization for supersymmetric monopoles -- 5.3.1. The N = 2 monopole -- 5.3.2. The N = 4 monopole -- 5.4. Conclusions -- Acknowledgments -- References -- 6. Gauging Noncommutative Theories H. Grosse and M. Wohlgenannt -- 6.1. Introduction -- 6.2. Renormalization of φ4-theory -- 6.2.1. The Landau ghost -- 6.3. Induced gauge theory -- 6.3.1. BRST quantization -- References -- 7. Topological Phases and Contextuality E.ects in Neutron Quantum Optics H. Rauch -- 7.1. Introduction -- 7.2. Neutron Interferometry -- 7.3. Experimental Results from the 20th Century -- 7.3.1. Spinor Symmetry: Neutrons in a Magnetic Field.

7.3.2. Spin Superposition -- 7.3.3. Magnetic Josephson Effect -- 7.4. Experiments from the 21st Century -- 7.4.1. Geometric Phases -- 7.4.2. Contextuality and Kochen-Specker Phenomenon -- 7.5. Discussion -- Acknowledgments -- References -- 8. First Class Constrained Systems and Twisting of Courant Algebroids by a Closed 4-Form M. Hansen and T. Strobl -- 8.1. Introduction -- 8.2. Field redefinitions and their geometric significance -- 8.2.1. Two dimensional sigma models without background data on Σ -- 8.2.2. Three dimensional sigma models -- 8.3. Hamiltonian analysis -- 8.3.1. Hamiltonian formulation -- 8.3.2. Constraint algebra -- 8.4. Axioms of H4-twisted Courant algebroids -- Acknowledgments -- References -- 9. Some Local and Global Aspects of the Gauge Fixing in Yang-Mills-Theories D. N. Blaschke, F. Delduc, F. Gieres, M. Schweda and S. P. Sorella -- 9.1. Outline -- 9.2. YM in d-dimensional Minkowski space -- 9.2.1. General setting -- 9.2.2. Geometric framework -- 9.2.3. Admissibility criteria for the gauge fixing function -- 9.3. Global issues of gauge fixing: Gribov problem -- 9.3.1. Geometric setting: Gauge fixing through minimization -- 9.3.2. Determination of Gribov copies -- 9.3.3. Tentatives to tackle the Gribov problem in the quantization procedure -- 9.4. On the quantization in the Lorenz/Landau gauge -- 9.4.1. Gauge fixing action -- 9.4.2. The nonrenormalization of the gluon-ghost-antighost vertex -- 9.5. On the quantization in axial gauges -- 9.5.1. Preliminary considerations -- 9.5.2. Prescriptions for the unphysical poles -- 9.5.3. Extended BRST symmetry -- 9.5.4. Stability problem in axial-like gauges -- 9.5.4.1. Non-trivial field renormalization -- 9.5.4.2. Consequences of the extended BRST and field renormalization -- 9.5.5. Stability problem in the light-cone gauge -- References.

10. Frozen Ghosts in Thermal Gauge Field Theory P. V. Landshoff and A. Rebhan -- 10.1. Introduction -- 10.2. Basics of equilibrium thermal .eld theory -- 10.3. Freezing unphysical degrees of freedom in the realtime formalism -- References -- II Classical and Quantum Gravity -- 11. Wolfgang Kummer and the Vienna School of Dilaton (Super-)Gravity L. Bergamin and R. Meyer -- 11.1. Historical Introduction -- 11.1.1. Early Attempts to Non-Einsteinian Gravity in 2D -- 11.1.2. First Order Formulation of Generalized 2D Dilaton Gravity -- 11.1.3. Exact Path Integral Quantization -- 11.2. Two-Dimensional Dilaton Supergravity -- 11.2.1. 2D Dilaton Supergravity from Graded PSMs -- 11.2.2. Quantization of 2D Supergravity -- 11.2.2.1. Quantization Without Matter -- 11.2.2.2. Quantization Including Matter Fields -- 11.2.2.3. Four-Point Vertices -- 11.3. Two-Dimensional Dilaton Gravity with Boundaries -- Appendix A. Notations and conventions -- References -- 12. Order and Chaos in Two Dimensional Gravity R. B. Mann -- 12.1. Introduction -- 12.2. Foundations of Two-Dimensional Gravity -- 12.3. The Non-Relativistic Limit -- 12.4. 2-Body Motion -- 12.5. 3-Body Motion -- 12.6. N-bodies -- 12.7. Summary and Acknowledgments -- References -- 13. 2-D Midisuperspace Models for Quantum Black Holes J. Gegenberg and G. Kunstatter -- 13.1. Introduction -- 13.2. Generic 2-D Dilaton Gravity: Action and Solutions -- 13.3. Classical Vacuum Theory: Observables and Thermodynamics -- 13.4. Hamiltonian Structure and Reduced Theory -- 13.5. Semi-Classical Arguments and the Area Spectrum -- 13.6. Dirac Quantization -- 13.6.1. Exact Dirac Wave Functionals -- 13.6.2. Partially Reduced Theory -- 13.7. Conclusion -- Acknowledgments -- References -- 14. Global Solutions in Gravity. Euclidean Signature M. O. Katanaev -- 14.1. Introduction -- 14.2. Local form of the metric -- 14.3. Extremals.

14.4. Global solutions -- 14.5. Schwarzschild solution -- 14.6. Conclusion -- References -- 15. Thoughts on the Cosmological Principle D. J. Schwarz -- 15.1. Introduction -- 15.2. Tribute to Wolfgang Kummer -- 15.3. Modern Cosmology -- 15.4. Observational Facts -- 15.5. Formulation(s) of the Cosmological Principle -- 15.6. Testing the Cosmological Principle -- 15.7. Cosmological In.ation and Quantum Gravity -- Acknowledgment -- References -- 16. When Time Emerges C. Faustmann, H. Neufeld and W. Thirring -- 16.1. Introduction -- 16.2. Geodesics -- 16.3. Two-dimensional metric with spacelike singularity -- 16.4. Two-dimensional metric with timelike singularity -- 16.5. Asymptotically flat space -- 16.6. Kasner metric -- 16.7. Signature change and particle creation -- 16.8. Di.erent types of signature change -- 16.9. Re.ection of particles -- 16.10. Conclusions -- Acknowledgments -- References -- 17. Towards Noncommutative Gravity D. V. Vassilevich -- 17.1. Preliminaries -- 17.2. What can we call a noncommutative gravity? -- 17.2.1. Minimalistic approaches -- 17.2.2. Seiberg-Witten map -- 17.2.3. Gauging symplectic diffeomorphisms -- 17.2.4. Gravity through Yang-Mills type symmetries -- 17.2.5. Twisted symmetries -- 17.2.6. NC geometry and spectral action -- 17.3. The star products -- 17.4. Conclusions -- Acknowledgment -- References -- 18. Superembedding Approach to Superstring in AdS5 × S5 Superspace I. A. Bandos -- 18.1. Introduction -- 18.1.1. Superembedding equation -- 18.2. Spinor moving frame formulation and generalized action principle for super-p-branes -- 18.2.1. Vector harmonics as moving frame adapted to (super)embedding -- 18.2.2. Action of the moving frame formulation -- 18.2.2.1. Variations and derivatives of the harmonic variables -- 18.2.2.2. Lorentz harmonics and generalized Cartan forms for superbrane in curved (super)space.

18.2.2.3. Equations of motion of the moving frame action -- 18.2.3. Irreducible κ-symmetry. Spinor harmonics enter the game -- 18.2.4. Spinor moving frame formulation of super-p-branes -- 18.2.5. Generalized action principle -- 18.3. Superembedding approach to D = 10 Green-Schwarz superstring in type IIB supergravity background -- 18.3.1. Spinor moving frame action for superstring -- 18.3.2. Stringy Spin(1,9) SO(1,1)SO(8) spinorial harmonics -- 19. Heterotic (0,2) Gepner Models and Related Geometries M. Kreuzer -- 19.1. Introduction -- 19.2. Orbifolds and simple currents -- 19.2.1. Orbifold CFT and modular invariance -- 19.2.2. Discrete torsion and quantum symmetries -- 19.2.3. Simple currents -- 19.2.4. Simple current modular invariants and chiral algebras -- 19.3. Gepner-type (0,2) models -- 19.3.1. The (2,2) case and the generalized GSO projection -- 19.3.2. The extended Poincare polynomial -- 19.3.3. Gauge/SUSY breaking and (0,2) models -- 19.4. Geometry and vector bundle data -- 19.5. Conclusion -- Appendix A. Gepner models, torus orbifolds & mirror symmetry -- Appendix B. N = 2 SCFT, simple currents & minimal models -- B.1. N = 2 minimal models -- Acknowledgments -- References -- 20. Canonical Analysis of Cosmological Topologically Massive Gravity at the Chiral Point D. Grumiller, R. Jackiw and N. Johansson -- 20.1. Introduction -- 20.2. Chern-Simons formulation -- 20.3. Hamiltonian action at the chiral point -- 20.4. Constraint analysis -- 20.5. Conclusions -- Acknowledgments -- References -- III Wolfgang Kummer and the Physics Community -- 21. Wolfgang Kummer at CERN H. Schopper -- References -- 22. Wolfgang Kummer and the Little Lost Lane Boy K. Lane -- Acknowledgments -- References -- 23. Mitigation of Fossil Fuel Consumption and Global Warming by Thermal Solar Electric Power Production in the World's Deserts J. Steinberger.

23.1. Introduction.