A multidisciplinary approach to quantum field theory. Advanced topics / Volume 2, ([2022])

• Record Type: Book
• Further Information: Note: Michael Ogilvie.
• Authors: Ogilvie, Michael, 1953-
• Other Names: Institute of Physics (Great Britain), publisher.
• Contents: 1. Gauge theories -- 1.1. Introduction to quantum electrodynamics -- 1.2. Abelian gauge invariance -- 1.3. Perturbative calculations at tree level in QED -- 1.4. Renormalization of QED -- 1.5. Compact Lie groups -- 1.6. Non-Abelian gauge theories -- 1.7. The Faddeev-Popov ansatz and gauge fixing for non-Abelian gauge theories -- 1.8. The geometry of gauge fields -- 1.9. Gauge fields compared to gravity -- 1.10. The Feynman rules for non-Abelian gauge theories -- 1.11. The Higgs mechanism 2. The renormalization group -- 2.1. Introduction -- 2.2. The Ising model -- 2.3. The order parameter and Landau theory -- 2.4. Critical exponents -- 2.5. The real-space renormalization group -- 2.6. Euclidean field theory -- 2.7. Derivation of the renormalization group equations : [phi]4 -- 2.8. The Wilson-Fisher fixed point -- 2.9. The effective action -- 2.10. Background field method for scalar field theories -- 2.11. The background field method for gauge theories -- Appendix. Simulation and the Metropolis algorithm 3. The 1/N expansion -- 3.1. Introduction -- 3.2. Quantum mechanics -- 3.3. Vector models in quantum mechanics -- 3.4. Vector models in quantum field theory -- 3.5. Matrix models in the large-N limit 4. Solitons and instantons -- 4.1. Introduction -- 4.2. The [phi]4 kink in 1 + 1 dimensions -- 4.3. Flux tubes -- 4.4. Magnetic monopoles -- 4.5. Instantons -- 4.6. False vacuum decay 5. Anomalies -- 5.1. Introduction -- 5.2. Path integral treatment of anomalies -- 5.3. Anomaly cancellation in gauge theories -- 5.4. The [eta][prime] problem and the U(1)A anomaly in QCD 6. Field theory at nonzero temperature -- 6.1. Introduction -- 6.2. Partition functions and path integrals -- 6.3. Free fields and Matsubara frequencies -- 6.4. Evaluation of the T [not equal to] 0 scalar field effective potential -- 6.5. Symmetry restoration -- 6.6. Running couplings -- 6.7. Fermions -- 6.8. Equilibration in field theories.
• Publisher Details: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing
• Publication Date: 2022
• Extent: 1 online resource, illustrations
• Subjects: 530.14/3; Quantum field theory; Particle & high-energy physics; SCIENCE / Physics / Quantum Theory
• Languages: English
• ISBNs: 9780750332316; 9780750332309; 0750332301
• Related ISBNs: 075033231X; 9780750332293; 9780750332323
• Notes: Note: Includes bibliographical references.; Note: Title from PDF title page (viewed on December 5, 2022).
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