# Relativistic Quantum Field Theory, Volume 3

- Applications of quantum field theory

- Michael Strickland

- November 2019

### Description

Volume 3 of this three-part series presents more advanced topics and applications of relativistic quantum field theory. The application of quantum chromodynamics to high-energy particle scattering is discussed with concrete examples for how to compute QCD scattering cross sections. Experimental evidence for the existence of quarks and gluons is then presented within the context of the naive quark model and beyond. In addition the text reviews our current understanding of the weak interaction, unified electroweak theory and the Brout–Higgs–Englert mechanism for the generation of gauge boson masses. The last two chapters contain a self-contained introduction to finite temperature quantum field theory with concrete examples focusing on the high-temperature thermodynamics of scalar field theories, QED and QCD.### About Editors

Michael Strickland is a professor of physics at Kent State University. His primary interest is the physics of the quark–gluon plasma (QGP) and high-temperature quantum field theory (QFT). He has published research papers on various topics related to the QGP, QFT, relativistic hydrodynamics and many other topics. In addition, he has co-written a text on the physics of neural networks.

### Table of Contents

1 QCD Phenomenology

1.1 Electron-muon scattering

1.2 Form factors

1.3 Elastic electron-proton scattering and the proton form factors

1.4 Inelastic electron-proton scattering

1.5 The parton model and Bjorken scaling

1.6 Valence partons and sea partons

1.7 Beyond the naive parton model

1.8 DGLAP evolution

1.9 Hadron production in e+e collisions

1.10 Fragmentation functions

1.11 Solution of the DGLAP equations using Mellin moments

1.12 Drell-Yan scattering

2 Weak interactions

2.1 Early models of the weak interaction

2.2 Muon decay

2.3 Charged pion decay

2.4 Electron-neutrino and electron-antineutrino scattering

2.5 Neutrino-quark scattering

2.6 Weak neutral currents

2.7 The Cabibbo angle and the CKM matrix

3 Electroweak unification and the Higgs mechanism

3.1 Electroweak Feynman rules

3.2 Massive gauge fields with local gauge symmetry

3.3 Gauge boson masses in SU(2)L U(1)Y

3.4 The discovery of the Higgs boson

4 Basics of finite temperature quantum field theory

4.1 Partition function for a quantum harmonic oscillator

4.2 The partition function for a free scalar field theory

4.3 Free scalar thermodynamics

4.4 The need for resummation

4.5 Perturbative expansion of thermodynamics for a scalar field theory

4.6 Screened perturbation theory

5 Hard-thermal-loops for QED and QCD

5.1 Photon polarization tensor

5.2 Fermionic self-energy

5.3 Collective modes

5.4 Hard-thermal-loop effective action

5.5 Hard-thermal-loop resummed thermodynamics

### Bibliographic

Paperback ISBN: 9780750330213

Ebook ISBN: 9781643277615

DOI: 10.1088/2053-2571/ab3a99

Publisher: Morgan & Claypool Publishers