A multidisciplinary approach to quantum field theory. An introduction / Volume 1, ([2022])

• Record Type: Book
• Further Information: Note: Michael Ogilvie.
• Authors: Ogilvie, Michael, 1953-
• Other Names: Institute of Physics (Great Britain), publisher.
• 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.
• Publisher Details: Bristol [England] (No.2 The Distillery, Glassfields, Avon Street, Bristol, BS2 0GR, UK) : IOP Publishing
• Publication Date: 2022
• Extent: 1 online resource, illustrations
• Subjects: 530.14/3; Quantum field theory; Particle & high-energy physics; Particle and nuclear physics; Quantum field theory
• Languages: English
• ISBNs: 9780750332279; 0750332271; 9780750332262; 0750332263
• Related ISBNs: 9780750332255; 9780750332286
• Notes: Note: Includes bibliographical references and index.; Note: Title from PDF title page (viewed on November 9, 2022).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.