Chapter 37 Further Reading: From Quantum Mechanics to Quantum Field Theory

Tier 1: Essential References

These are the primary references for making the transition from quantum mechanics to quantum field theory. At least one of these should be on your shelf when you start a QFT course.

Peskin, M. E. & Schroeder, D. V. — An Introduction to Quantum Field Theory (1995)

The standard graduate QFT textbook for a generation of physicists. Part I (Chapters 1–7) covers quantization of scalar, spinor, and vector fields, Feynman rules, and tree-level scattering calculations. Part II covers renormalization. Part III covers the Standard Model. Detailed, thorough, with many worked examples. - Best for: The default first QFT textbook. Start with Chapters 2–4 to see how the material in our Chapter 37 is developed in full.

Schwartz, M. D. — Quantum Field Theory and the Standard Model (2014)

A more modern alternative to Peskin & Schroeder. Covers the same material but with updated notation, cleaner derivations, and better integration of modern topics (effective field theory, SUSY). Many students find it more accessible. - Best for: Students who want a modern, clearly written textbook with good problem sets.

Lancaster, T. & Blundell, S. J. — Quantum Field Theory for the Gifted Amateur (2014)

A remarkable book that bridges the gap between undergraduate quantum mechanics and graduate QFT. Assumes knowledge at the level of Griffiths and develops QFT with exceptional clarity and physical motivation. Less rigorous than Peskin or Schwartz but far more readable. - Best for: Students making the transition from this textbook to a QFT course. Read this before Peskin.

Zee, A. — Quantum Field Theory in a Nutshell, 2nd ed. (2010)

A conceptual, big-picture treatment of QFT that emphasizes physical ideas over formalism. Zee's conversational style makes even advanced topics accessible. Not a substitute for Peskin for a full QFT course, but an invaluable complement for understanding why things work the way they do. - Best for: Building intuition and seeing the forest before the trees. Read alongside a more formal text.

Tier 2: Supplementary and Enrichment

Conceptual and Motivational

Feynman, R. P. — QED: The Strange Theory of Light and Matter (1985) Feynman's popular lectures on quantum electrodynamics, delivered to a general audience at UCLA. No equations — just Feynman's legendary ability to explain the essence of QFT using arrows (probability amplitudes) and simple pictures. A masterpiece of scientific communication. - Best for: Everyone. Read this in an afternoon to see what QFT is about before engaging with the formalism.

Weinberg, S. — "What is Quantum Field Theory, and What Did We Think It Is?" (1997) A lecture by one of the creators of the Standard Model, reflecting on the conceptual foundations of QFT. Available at hep-th/9702027 on arXiv. - Best for: Understanding the intellectual history and conceptual status of QFT from an insider.

Wilczek, F. — "QCD Made Simple," Physics Today (2000) Frank Wilczek's wonderfully clear explanation of quantum chromodynamics, written for physicists outside the field. Covers asymptotic freedom, confinement, and the strong force with minimal formalism.

Alternative Textbooks

Srednicki, M. — Quantum Field Theory (2007) A modern textbook organized differently from Peskin: begins with spin-0, then spin-1/2, then spin-1, with the path integral introduced early. Available free online at the author's website. - Best for: Students who prefer the path integral approach and want an alternative to the canonical quantization emphasis of Peskin.

Weinberg, S. — The Quantum Theory of Fields, Vols. 1–3 (1995–2000) The most authoritative and comprehensive treatment of QFT, by one of the architects of the Standard Model. Volume 1 covers foundations, Volume 2 covers the Standard Model, Volume 3 covers supersymmetry. Demanding but profoundly insightful. - Best for: Advanced students and researchers who want the deepest understanding. Not recommended as a first QFT textbook.

Tong, D. — Quantum Field Theory Lectures (2007) David Tong's Cambridge Part III lecture notes, freely available at damtp.cam.ac.uk/user/tong/qft.html. Covers canonical quantization, Feynman diagrams, QED, and path integrals in a style that is rigorous yet readable. - Best for: Free, well-organized, and closely aligned with the first semester of a graduate QFT course.

The Standard Model Specifically

Griffiths, D. — Introduction to Elementary Particles, 2nd ed. (2008) An undergraduate-level introduction to particle physics that covers the Standard Model using Feynman diagram techniques at a level accessible after this textbook. Many worked examples. - Best for: Students who want to understand the Standard Model without a full QFT course.

Aitchison, I. J. R. & Hey, A. J. G. — Gauge Theories in Particle Physics, 4th ed. (2 volumes, 2012) A thorough treatment of the Standard Model as a gauge theory, with careful attention to the electroweak sector, QCD, and the Higgs mechanism. More accessible than Peskin for the Standard Model material. - Best for: Focused study of the Standard Model and its experimental tests.

History and Philosophy

Schweber, S. S. — QED and the Men Who Made It (1994) A detailed historical account of the development of QED, focusing on Schwinger, Feynman, Dyson, and Tomonaga. Includes both the physics and the personal stories. - Best for: Understanding the human drama behind the creation of QFT.

Kaiser, D. — Drawing Theories Apart: The Dispersion of Feynman Diagrams in Postwar Physics (2005) A history of science study of how Feynman diagrams spread through the physics community and were interpreted differently by different groups. Fascinating for anyone interested in how scientific tools are adopted and adapted.

Online Resources

MIT OpenCourseWare — 8.323 Relativistic Quantum Field Theory I (Spring 2023) A full graduate QFT course with lecture notes, problem sets, and exams. Available at ocw.mit.edu. - Best for: Following a complete QFT course at your own pace.

Perimeter Institute — PSI Lectures on QFT Video lectures from the Perimeter Scholars International program. Multiple years available, with different lecturers. High quality, aimed at beginning graduate students.

David Tong's YouTube Lectures on QFT Video recordings of Tong's Cambridge course. Complementary to his written lecture notes.

Original Papers

  • Dirac, P. A. M. (1927). "The quantum theory of the emission and absorption of radiation." Proc. Royal Society A, 114, 243. — The paper that started QFT.
  • Feynman, R. P. (1949). "Space-time approach to quantum electrodynamics." Physical Review, 76, 769. — The Feynman diagram paper.
  • Dyson, F. J. (1949). "The radiation theories of Tomonaga, Schwinger, and Feynman." Physical Review, 75, 486. — The paper that unified the three approaches.
  • Weinberg, S. (1967). "A model of leptons." Physical Review Letters, 19, 1264. — The electroweak unification paper (2 pages!).
  • Gross, D. J. & Wilczek, F. (1973). "Ultraviolet behavior of non-abelian gauge theories." Physical Review Letters, 30, 1343. — The asymptotic freedom paper.
  • Higgs, P. W. (1964). "Broken symmetries and the masses of gauge bosons." Physical Review Letters, 13, 508.
  • ATLAS Collaboration (2012). "Observation of a new particle in the search for the Standard Model Higgs boson." Physics Letters B, 716, 1.
  • CMS Collaboration (2012). "Observation of a new boson at a mass of 125 GeV." Physics Letters B, 716, 30.

Reading Strategy

For Chapter 37 and the transition to QFT, we recommend:

  1. Immediately: Read Feynman's QED: The Strange Theory of Light and Matter. It takes about 4 hours and provides intuition that will serve you for years.

  2. Before starting a QFT course: Read Lancaster & Blundell, QFT for the Gifted Amateur, Chapters 1–20. This bridges the gap between our textbook and graduate QFT with exceptional clarity.

  3. During a QFT course: Use Peskin & Schroeder (traditional) or Schwartz (modern) as your primary textbook, supplemented by Zee for intuition and Tong's notes for a clean alternative derivation.

  4. For the Standard Model specifically: Griffiths' Introduction to Elementary Particles is the most accessible entry point. Follow with Aitchison & Hey for a deeper treatment.

  5. For historical context: Read Schweber's QED and the Men Who Made It — it is both a great history and a great physics book.