Field theory : a path integral approach

Description

Industrial mathematics is evolving into an important branch of mathematics. Mathematicians, in particular in Italy, are becoming increasingly aware of this new trend and are engaged in bridging the gap between highly specialized mathematical research and the emerging demand for innovation from industry. The contributions in this volume provide both R&D workers in industry with a general view of existing skills, and academics with state-of-the-art applications of mathematics to real-world problems, which may also be incorporated in advanced courses 1. Introduction -- 2. Path Integrals and Quantum Mechanics -- 3. Harmonic Oscillator -- 4. Generating Functional -- 5. Path Integrals for Fermions -- 6. Supersymmetry -- 7. Semi-Classical Methods -- 8. Path Integral for the Double Well -- 9. Path Integral for Relativistic Theories -- 10. Effective Action -- 11. Invariances and Their Consequences -- 12. Systems at Finite Temperature -- 13. Ising Model