A multidisciplinary approach to quantum field theory. Volume 1, An Introduction. / Michael Ogilvie.

Format:

Book

Author/Creator:

Ogilvie, Michael, author.

Contributor:

Institute of Physics (Great Britain), publisher.

Series:

IOP ebooks. 2022 collection.

IOP ebooks. [2022 collection]

Language:

English

Subjects (All):

Quantum field theory.

Physical Description:

1 online resource (various pagings) : illustrations.

Edition:

First edition.

Place of Publication:

Bristol [England] (No.2 The Distillery, Glassfields, Avon Street, Bristol, BS2 0GR, UK) : IOP Publishing, [2022]

System Details:

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.

Biography/History:

Professor Michael C. Ogilvie is a member of the physics department at Washington University. Prior to his appointment at the university, he held postdoctoral appointments at Brookhaven National Laboratory and the University of Maryland. He received his PhD from Brown University. His research interests include lattice gauge theory, extreme QCD and the theory of phase transitions.

Summary:

This book covers quantum field theory at an introductory level appropriate for graduate students in physics. The first volume aims to allow students to begin their research in fields using quantum field theory, such as particle physics, nuclear physics, cosmology and astrophysics and condensed matter physics. The key areas the book explores include free (noninteracting) fields, field quantization, interacting fields, Feynman diagrams, scattering, cross sections and decay rates; renormalization; symmetry, symmetry breaking and Goldstone bosons. Graduate students studying particle, nuclear, and condensed matter physics are the key audience for this volume. It will also be useful to researchers looking for a modern overview of quantum field theory.

Contents:

1. Introduction to quantum field theory

1.1. Natural units

1.2. The simple harmonic oscillator in classical mechanics

1.3. The harmonic oscillator in quantum mechanics

1.4. Photons

1.5. Paths to quantum field theory

2. Quantum mechanics and path integrals

2.1. Classical mechanics and fields

2.2. Quantum mechanics

2.3. The Feynman path integral for one degree of freedom

3. Classical fields

3.1. Wave equations in classical mechanics and quantum mechanics

3.2. Special relativity

3.3. The Lagrangian formalism for fields

3.4. Continuous symmetries in classical field theory

3.5. The Hamiltonian formalism

3.6. Causality

4. Free quantum fields

4.1. The Feynman path integral for field theories

4.2. Free scalar fields

4.3. Another approach to the functional integral

4.4. Interpretation of Z[0] for free fields

4.5. Vacuum energy examples

4.6. Fock space

4.7. Relativistic invariance and Fock space

4.8. Free quantum fields in Fock space

4.9. The canonical commutation relations and causality

4.10. Equivalence to the functional integral formalism

4.11. Continuous symmetries in quantum field theories

5. Interacting quantum fields

5.1. Perturbation theory and Feynman diagrams

5.2. Feynman diagrams in position space

5.3. Feynman diagrams in momentum space

5.4. Scattering theory

5.5. A toy model of nucleons and pions

5.6. The CPT theorem

5.7. Cross-sections and decay rates

6. Renormalization

6.1. Mass renormalization

6.2. Coupling constant renormalization

6.3. Field renormalization

6.4. Renormalization : a systematic process

6.5. Renormalizability

6.6. Matrix elements and the LSZ reduction formula

7. Symmetries and symmetry breaking

7.1. Internal symmetries

7.2. Spontaneous symmetry breaking and perturbation theory

7.3. Broken continuous symmetries and Goldstone bosons

7.4. Renormalization of models with spontaneous symmetry breaking

8. Fermions

8.1. Introduction to the Dirac equation

8.2. Representations of the Lorentz group

8.3. The Dirac equation

8.4. Solutions of the Dirac equation

8.5. The free Dirac field

8.6. Dirac bilinears

8.7. Chiral symmetry and helicity

8.8. Charge conjugation and coupling to the electromagnetic field

8.9. Functional integration for fermions

8.10. Feynman rules and scattering for a Yukawa field theory

8.11. Interpreting the boson and fermion functional determinants

8.12. The linear sigma model of mesons and nucleons.

Notes:

"Version: 20221001"--Title page verso.

Includes bibliographical references.

Description based on: online resource; title from pdf title page (EBSCOhost viewed on March 27, 2023).

Description based on print version record.

ISBN:

9780750332279

0750332271

9780750332262

0750332263

OCLC:

1350649709