A modern course in quantum field theory. Volume 2, Advanced topics / Badis Ydri.Material type: TextSeries: IOP (Series). Release 6. | IOP expanding physicsPublisher: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, Description: 1 online resource (various pagings) : illustrations (some color)Content type: text Media type: electronic Carrier type: online resourceISBN: 9780750314831; 9780750314824Subject(s): Quantum field theory -- Textbooks | Quantum physics (quantum mechanics & quantum field theory) | SCIENCE / Physics / Quantum TheoryAdditional physical formats: Print version:: No titleDDC classification: 530.14/3 LOC classification: QC174.45 | .Y476 2019eb vol. 2Online resources: Click here to access online Also available in print.
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"Version: 20190501"--Title page verso.
Includes bibliographical references.
9. Standard model -- 9.1. Elements of phenomenology -- 9.2. The standard model -- 9.3. Exercises
10. Introduction to lattice field theory -- 10.1. The lattice [phi]2 -- 10.2. Fermions on the lattice -- 10.3. Gauge fields on the lattice -- 10.4. Quenched quantum electrodynamics on the lattice
11. The Wilson and functional renormalization group equations -- 11.1. Wilson renormalization group approach -- 11.2. The Wilson approximate recursion formulas -- 11.3. Generating functionals -- 11.4. The functional renormalization group -- 11.5. The vertex expansion approximation method for [phi]4 -- 11.6. The gradient expansion approximation method -- 11.7. Polchinski's renormalization of [phi]4 theory -- 11.8. Exercise
12. Noncommutative scalar field theory and its renormalizability -- 12.1. Noncommutative Moyal-Weyl spaces -- 12.2. Wilson-Polchinski renormalization group equation on RD x R2 -- 12.3. Renormalization of scalar [phi]4 in two dimensions -- 12.4. Renormalization of scalar [phi]4 in four dimensions with a harmonic oscillator term
13. Some exact solutions of quantum field theory -- 13.1. The linear sigma model and Hartree-Fock approximation -- 13.2. The non-linear sigma model and the 1/N expansion -- 13.3. The Ising model and the Onsager solution -- 13.4. QED2 and the Thirring and sine-Gordon models -- 13.5. Other exactly solvable models -- 13.6. Exercise
14. The monopoles and instantons -- 14.1. Monopoles -- 14.2. Instantons -- 14.3. Exercises
15. Introducing supersymmetry -- 15.1. Lorentz symmetry revisited -- 15.2. Supersymmetry algebra and representations -- 15.3. N = 1 supersymmetry -- 15.4. N = 2 supersymmetry -- 15.5. Simple supersymmetry in more detail -- 15.6. Exercises
16. The AdS/CFT correspondence -- 16.1. Conformal symmetry -- 16.2. The AdS spacetime -- 16.3. Scalar field in AdSd+1 -- 16.4. Representation theory of the conformal group -- 16.5. Holography -- 16.6. The AdS/CFT correspondence -- 16.7. Conformal field theory on the torus -- 16.8. Holographic entanglement entropy -- 16.9. Einstein's gravity from quantum entanglement -- 16.10. Exercises -- Appendices. D. Lie algebra representation theory : a primer -- E. On homotopy theory.
A Modern Course in Quantum Field Theory provides a self-contained pedagogical and constructive presentation of quantum field theory. Here, constructive is not meant in the sense of axiomatic field theory, but it is merely used in the sense that all results must be obtained by an explicit set of calculations from accepted premises by those who start to learn this subject. Written for advanced students the work provides complete material for a two or three semester course, and includes numerous problem exercises, some with detailed solutions.
Postgraduate students in physics.
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Badis Ydri is currently a Professor of theoretical particle physics, at the Institute of Physics, Annaba University, Algeria. He is also a research associate at the Dublin Institute for Advanced Studies, Dublin, Ireland, and a regular ICTP Associate at the Abdus Salam Center for Theoretical Physics, Trieste, Italy.
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