Quantum Field Theory of Particles and Strings

Description

A rare exposition of quantum field theory in the Schrödinger representation, among others in this book, which contains the concept of a wavefunctional. Cover Contents I Point particles 1 Introduction: Phenomenology overview 2 First to second quantization 3 Free scalar field theory 4 Free spinor field theory 5 Quantization of the electromagnetic field 6 Interacting field theories 7 Self-interacting scalar field theory 8 Spinor quantum electrodynamics 9 Functional calculus 9.1 Functional derivatives 9.2 Functional differential equations 9.3 Functional integrals Bosonic variables Fermionic variables 10 Free fields in the Schrodinger representation 10.1 Free scalar field theory 10.2 Photon field theory 10.3 Spinor field theory 11 Interacting fields in the Schrodinger representation 11.1 Self-interacting scalar field theory 11.2 Yang-Mills 11.3 Spinor quantum electrodynamics 12 Path integral representation of quantum mechanics 13 Path integrals in free field theory 14 Interacting fields and path integrals 15 Yang-Mills and Faddeev-Popov 16 Hiding the infinities 17 Renormalization of QED at 1-loop 18 The effective action II Strings 19 Basic ideas and classical theory 20 First quantization 21 The mathematics of surfaces 22 Polyakov's integral: The partition function for genus 0 23 Higher-genus integrals 24 Scattering amplitudes 25 Noncritical dimensions 26 Introduction to superstrings