Path Integral Methods in Quantum Field Theory

This is a concise graduate level introduction to analytical functional methods in quantum field theory.

Preface; 1. Scalar Green functions and their perturbative solutions; 2. Connected Green functions and their one-particle irreducible components; 3. Regularisation and renormalisation; 4. The scalar functional integral; 5. Series expansions and their summation; 6. Taking the path integral more seriously; 7. Quantum theory on non-simply-connected configuration spaces; 8. Stochastic quantisation; 9. Fermions; 10. Quantum electrodynamics; 11. Non-abelian gauge theories; 12. Explicit symmetry breaking and its classical limit; 13. The effective potential; 14. Field theory at non-zero temperature; 15. Field theory at non-zero temperature: real-time formulation; 16. Instantons; 17. Composite fields and the large-N limit; References; Index.