A modern course in quantum field theory.

---

"Version: 20250601"--Title page verso.Includes bibliographical references.12. The Wilson and functional renormalization group equations -- 12.1. Wilson renormalization group approach -- 12.2. The Wilson approximate recursion formulas -- 12.3. Generating functionals -- 12.4. The functional renormalization group -- 12.5. The vertex expansion approximation method for 04 -- 12.6. The gradient expansion approximation method -- 12.7. Polchinski's renormalization of 04 theory -- 12.8. Exercises13. 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 Thi-ring and Sine-Gordon models -- 13.5. Other exactly solvable models -- 13.6. Exercises14. The monopoles and instantons -- 14.1. Monopoles -- 14.2. Instantons -- 14.3. Exercises15. 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. Exercises16. 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. Exercises17. Conformal field theory and emergence of conformal symmetry -- 17.1. An overview of conformal field theory -- 17.2. Overview of the SYK model and its connection to the Jackiw-Teitelboim (JT) gravity -- 17.3. Large N quantization of the SYK model -- 17.4. Emergence of conformal symmetry in the SYK model -- 17.5. The four-point function of the SYK model18. Novel phenomena in noncommutative field theory : emergent geometry -- 18.1. Introduction -- 18.2. Aspects of noncommutative phi-four theory on the Moyal-Weyl space -- 18.3. Noncommutative phi-four on the fuzzy sphere S2N -- 18.4. Emergent geometry from multitrace matrix models -- 18.5. Emergent geometry from Yang-Mills matrix models19. Noncommutative scalar field theory and its renormalizability -- 19.1. Noncommutative Moyal-Weyl spaces -- 19.2. Wilson-Polchinski renormalization group equation on RD x R20 -- 19.3. Renormalization of scalar 04 in two dimensions -- 19.4. Renormalization of scalar 04 in four dimensions with a harmonic oscillator term20. The neural network method for quantum field theory -- 20.1. The Monte Carlo method -- 20.2. The four theories of quantum field theory -- 20.3. The restricted Boltzmann machine (RBM) -- 20.4. The Wigner restricted Boltzmann machine (W-RBM)Appendix A. Lie algebra representation theory : a primer -- Appendix B. On homotopy theory.Full-text restricted to subscribers or individual document purchasers.This volume tackles more advanced themes often found in longer three-semester, or specialist further advanced postgraduate courses. It provides an introductory review to contemporary advanced topics in QFT, in particular, lattice field theory, topological field configurations, supersymmetry and the AdS/CFT correspondence, and it includes a systematic introduction to the functional renormalization group equation with application in noncommutative scalar field theory. Some non-perturbative methods, which allow exact solutions in lower dimensions, or due to the larger number of symmetries involved, are also discussed. This new edition also includes chapters added on noncommutative field theory and the SYK models.Professional and scholarly.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.Badis Ydri is a professor of theoretical physics at the Institute of Physics, Annaba University, Algeria. He earned his PhD from Syracuse University, New York, USA, in 2001. He is also a research associate at the Dublin Institute for Advanced Studies, Ireland. His postdoctoral work includes a Marie Curie fellowship at Humboldt University in Berlin, Germany, and a Hamilton fellowship at the Dublin Institute for Advanced Studies, Ireland. His general areas of expertise encompasses quantum field theory, general relativity, string theory, and philosophy of physics. His ongoing research explores: 1) matrix quantum mechanics approaches to quantum black holes and quantum gravity, 2) gauge/gravity duality and M-theory, 3) noncommutative geometry and matrix models, 4) renormalization group equation and Monte Carlo methods, 5) artificial intelligence in computational physics, 6) quantum philosophy, and 7) hard physical philosophy of consciousness and existence. He is the author of seven books in theoretical physics.Title from PDF title page (viewed on July 1, 2025).

---

Availability

No copy data

Detail Information

Series Title

-

Call Number

-

Publisher

: .,

Collation

1 online resource (various pagings) :illustrations (some color).

Language

English

ISBN/ISSN

9780750358347

Classification

530.14/3

Content Type

-

Media Type

-

Carrier Type

-

Edition

Second edition.

Subject(s)

SCIENCE / Physics / Quantum Theory.
Quantum field theory
Textbooks.

Specific Detail Info

-

Statement of Responsibility

Badis Ydri.

Other version/related

File Attachment

Comments

---

You must be logged in to post a comment