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Quantum Field Theory 1st Edition by Harald Fritzsch ISBN 9813141727 9789813141728

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Quantum Field Theory 1st Edition Harald Fritzsch Digital Instant Download

Author(s): Harald Fritzsch
ISBN(s): 9789813141728, 9813141727
Edition: 1
File Details: PDF, 1.83 MB
Year: 2017
Language: english
SKU: EB-5874354 Category: Tag:

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ISBN 10: 9813141727 
ISBN 13: 9789813141728
Author: Harald Fritzsch

The matter in our universe is composed of electrons and quarks. The dynamics of electrons and quarks is described by the Standard Model of particle physics, which is based on quantum field theories. The general framework of quantum field theories is described in this book. After the classical mechanics and the relativistic mechanics the details of classical scalar fields, of electrodynamics and of quantum mechanics are discussed. Then the quantization of scalar fields, of spinor fields and of vector fields is described.The basic interactions are described by gauge theories. These theories are discussed in detail, in particular the gauge theories of quantum electrodynamics (QED) and of quantum chromodynamics (QCD), based on the gauge group SU(3). In both theories the gauge bosons, the photon and the gluons, have no mass. The gauge theory of the electroweak interactions, based on the gauge group SU(2) x U(1), describes both the electromagnetic and the weak interactions. The weak force is generated by the exchange of the weak bosons. They have a large mass, and one believes that these masses are generated by a spontaneous breaking of the gauge symmetry.It might be that the strong and the electroweak interactions are unified at very high energies (‘Grand Unification’). The gauge groups SU(3) and SU(2) x U(1) must be subgroups of a big gauge group, describing the Grand Unification. Two such theories are discussed, based on the gauge groups SU(5) and SO(10).

Quantum Field Theory 1st Table of contents:

Chapter 1: Introduction

  • 1.1 What is Quantum Field Theory?

  • 1.2 Historical Background

  • 1.3 Relativistic Quantum Mechanics

  • 1.4 Why Fields?

Chapter 2: Classical Field Theory

  • 2.1 Scalar Fields

  • 2.2 The Action Principle

  • 2.3 Noether’s Theorem and Conservation Laws

  • 2.4 Electromagnetic Field

Chapter 3: Canonical Quantization

  • 3.1 Quantization of the Scalar Field

  • 3.2 Creation and Annihilation Operators

  • 3.3 Quantization of the Dirac Field

  • 3.4 Quantization of the Electromagnetic Field

Chapter 4: Path Integral Formulation

  • 4.1 Path Integrals in Quantum Mechanics

  • 4.2 Path Integral for Scalar Fields

  • 4.3 Generating Functionals

  • 4.4 Fermionic Path Integrals

Chapter 5: Interacting Fields and Perturbation Theory

  • 5.1 Interaction Picture

  • 5.2 Dyson Series

  • 5.3 Feynman Diagrams and Rules

  • 5.4 Examples: φ^4 Theory and Quantum Electrodynamics

Chapter 6: Renormalization

  • 6.1 Divergences in Quantum Field Theory

  • 6.2 Regularization Techniques

  • 6.3 Renormalization of φ^4 Theory

  • 6.4 Renormalization Group and Scaling

Chapter 7: Gauge Theories

  • 7.1 Abelian Gauge Theories

  • 7.2 Non-Abelian Gauge Theories

  • 7.3 BRST Symmetry

  • 7.4 Spontaneous Symmetry Breaking and the Higgs Mechanism

Chapter 8: Advanced Topics

  • 8.1 Anomalies

  • 8.2 Effective Field Theories

  • 8.3 Supersymmetry

  • 8.4 Quantum Field Theory at Finite Temperature

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Tags: Harald Fritzsch, Quantum Field