Quantum Field Theory of Particles and Strings

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A rare exposition of quantum field theory in the Schrödinger representation, among others in this book, which contains the concept of a wavefunctional.

Author(s): Brian Hatfield
Publisher: Perseus
Year: 1998

Language: English
Pages: 746

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