Quantum Mechanics of Fundamental Systems 2 [Paperback]

1 Anomalous Jacobians and the Vector Anomaly.- 1. Introduction.- 2. The Schwinger Model.- 3. The Method of Fujikawa.- 4. Redefinition of the Jacobian.- 5. Regulated Phase Transformations.- 6. Conclusions and Open Problems.- References.- 2 String Phenomenology.- 1. Introduction.- 2. Gauge Symmetries and Global Symmetries.- 3. Space-Time Supersymmetry in String Theory.- 4. Conclusions.- References.- 3 Open Gauge Algebra and Ghost Unification.- 4 Algebras of the Virasoro, Neveu-Schwarz, and Ramond Types on Genus g Riemann Surfaces.- 1. Introduction.- 2. The Bases.- 3. The Central Extensions.- 4. A String Realization.- 5. Quantization.- 6. The BRST Operator.- References.- 5 Quantum Groups, Integrable Theories, and Conformed Models.- 6 Small Handles and Auxiliary Fields.- 7 Differential Equations in Moduli Space.- 8 Consistent Quantum Mechanics of Chiral p-Forms.- 1. Introduction.- 2. Chiral BosonsClassical Analysis.- 3. Chiral BosonsQuantum Theory.- 4. Chiral p-Forms.- References.- 9 First and Second Quantized Point Particles of Any Spin.- 1. Introduction.- 2. More on the Extensions of the Mass Shell Algebra.- 3. Explicit Realizations.- 4. Light-Cone Gauge Quantization.- 5. Dirac Quantization.- 6. BRST Quantization.- 7. Second Quantized Theory.- References.- 10 Strings in Space.- 11 Covariantized Light-Cone String Field Theory.- 1. Motivation.- 2. Covariantized Light-Cone SFTs: Introduction.- 3. Light-Cone Gauge String Field Theory.- 4. From Light-Cone to Covariant SFT: General Procedure.- 5. Gauge-Fixed BRS-Invariant Action and Physical States.- 6. Another Gauge-Fixed Action: Siegels Original One.- Appendix A: Solutions to Equation (55a).- Appendix B: Proof of the Generalized Parisi-Sourlas Formula (68).- References.- 12 Topology, Superspace, and Anomalies.- 13 Field and String Quantization in Curved Space-Times.- 1. Contextual Background.- 2. Fields in Curved Space.- 3. Strings in Rindler Space.- 4. Horizon Regularization in Rindler SpaceIntroduction of the s Paral#£