The Net Advance of Physics:
FIELD THEORY

FIELD THEORY:
See also Feynman Diagrams; History of Field Theory; and Renormalisation

• General: Introductory:
  • Music of the Spheres: Teaching Quantum Field Theory at the Introductory Level by Ian H. Redmount [2019/08]
  • What are elementary particles? From dark energy to quantum field excitations by W. Bietenholz [2020/11]

• General:
  • Introduction to Quantum Field Theory by F. Mandl [New York: Interscience, 1959]
  • Elementary Quantum Field Theory by Ernest M. Henley and Walter Thirring [New York: McGraw-Hill, 1962]
  • Relativistic Quantum Fields by Mark Hindmarsh [Course at University of Sussex]
  • Archive of This Week's Finds in Mathematical Physics, 1--50 by John C. Baez [1993-1995] 242 pp.
  • Introduction to Quantum Field Theory by R. J. Crewther [1995/05]
  • "Non-Perturbative Methods" in Field Theory by Kenneth Intriligator [1998/11]
  • Field Theory and the Standard Model by Victor Novikov [1998/12]
  • Quantum Field Theory by Frank Wilczek [Rev. Mod. Phys. 71, S85 (1999)]
  • When was Asymptotic Freedom discovered? by Gerard 't Hooft [Nucl. Phys. Proc. Suppl. 74, 413 (1999)]
  • The Utility of Quantum Field Theory by Michael Dine [2000/10]
  • Field Theory and Standard Model by W. Buchmüller and C. Lüdeling [2005/08]
  • Introductory Lectures on Quantum Field Theory by Luis Alvarez-Gaume and Miguel Vazquez-Mozo [2005/10] 96 pp.
  • At the root of things by Palash Baran Pal [Resonance 14, 544 (2009)]
  • Spacetime and fields by Nikodem J. Poplawski [2009/11] 114 pp. Classical field theory.
  • Survey of mathematical foundations of QFT and perturbative string theory by Hisham Sati and Urs Schreiber [2011/09]
  • The second quantization method for indistinguishable particles by V. S. Shchesnovich [2010]
  • Symmetrien, Teilchen und Felder by Andreas Aste Mitt. Naturforsch. Ges. beider Basel 15, 35 (2014)] In German.
  • Proceedings of the 2014 Asia-Europe-Pacific School of High-Energy Physics edited by Martijn Mulders and Rohini Godbole [2014/11]
  • Quantum Field Theory as a Faithful Image of Nature by Hans Christian Öttinger [2015/09] "This book can be used as a textbook on quantum field theory for students of physics or as a monograph for philosophers and physicists interested in the epistemological foundations of particle physics."
  • A Course in Amplitudes by Tomasz R. Taylor [2017/03]
  • Amplitudes for Astrophysicists I: Known Knowns by Daniel J. Burger et al. [2017/04]
  • TASI Lectures on Scattering Amplitudes by Clifford Cheung [2017/08]
  • Quantum Field Theory and the Electroweak Standard Model by Andrej B. Arbuzov [2018/01]
  • Introduction to the "Second Quantization" Formalism for Non-Relativistic Quantum Mechanics by Hal Tasaki [2018/12]
  • Large Scale Analytic Calculations in Quantum Field Theories by Johannes Blülein [2019/05]
  • Some basic tools of QFT by A. V. Ivanov and M. A. Russkikh [2021/07]
  • Lectures on introduction to quantum field theory by G. Date [2022/07]
  • Scattering amplitudes in quantum field theory by S. Badger et al. [2023/06] 291 pp.
  • Symmetry-resolved measures in quantum field theory: A short review by O. A. Castro-Alvaredo and L. Santamaría-Sanz [2024/03]
  • Introductive exercises to Quantum Field Theory by S. Disca et al. [2024/06]
  • Mathematical ideas and notions of quantum field theory by P. Etingof [2024/09] 206 pp.
  • [Lectures on] Quantum Field Theory and the Electroweak Standard Model by G. Burdman [2024/10]

• General: Textbooks:
  • Lecture Notes from Physics 253a (Quantum Field Theory) by Sidney Coleman [Harvard, 1986-1987] 337 pp.
  • An Introduction to Quantum Field Theory by G. Sterman [Cambridge University Press (1993)]
  • The Quantum Theory of Fields by Stephen Weinberg [Cambridge University Press (1995 & '96)]
  • An Introduction to Quantum Field Theory by M. E. Peskin and D. V. Schroeder [Redwood City: Addison-Wesley (1995)]
  • Quantum Field Theory by L. H. Ryder [Cambridge University Press (1996)]
  • Fields by W. Siegel [Online edition only (1999)]
  • Lectures on Quantum Field Theory by R. E. Borcherds and A. Barnard [Notes from 15 week graduate course at Berkeley (1999)]
  • Quantum Field Theory in a Nutshell by A. Zee [Princeton University Press (2003)]
  • Lectures on quantum field theory by J. M. Cline [2004] 128 pp.
  • Quantum Field Theory Demystified by D. McMahon [McGraw Hill (2008)]
  • Analytical mechanics and field theory by T. Brauner [2025/03] Post-graduate textbook, 313 pp.

• General: Numerical Methods:
  • General Physics Motivations for Numerical Simulations of Quantum Field Theory by Rajan Gupta [1999/05]

• General: Numerical Methods: MONTE CARLO:
  • The Monte Carlo method in quantum field theory by Colin Morningstar [2006/06]
  • Markov Chain Monte Carlo Methods in Quantum Field Theories by A. Joseph [2019/12] 122 pp.

• Types: CHERN-SIMONS; CONFORMAL; EFFECTIVE; ELECTROMAGNETISM; GRAVITATION; MANY BODY; NON-COMMUTATIVE; QCD; QED; THERMAL; TOPOLOGICAL;

• Type: ALGEBRAIC QUANTUM FIELD THEORY:
  • Algebraic Quantum Field Theory: A Status Report by Detlev Buchholz [2000/11]
  • Algebraic Quantum Field Theory: An Introduction by Christopher J. Fewster and Kasia Rejzner [2019/04]
  • The algebraic approach [to quantum field theory]: When, how, and why? by J. Sorce [2024/08]

• Type: AXIOMATIC QUANTUM FIELD THEORY:
  • Current trends in axiomatic quantum field theory by Detlev Buchholz [Lect. Notes Phys. 558, 43 (2000)]

• Type: CLASSICAL:
  • Spacetime and fields by Nikodem J. Poplawski [2009/11] 114 pp.
  • Classical particle exchange: a quantitative treatment by Jarrett L. Lancaster et al. [2015/09]

• Type: CONSTRUCTIVE:
  • Constructive Field Theory and Applications: Perspectives and Open Problems by Vincent Rivasseau [J. Math. Phys. 41, 3764 (2000)]
  • Constructive Quantum Field Theory by Giovanni Gallavotti [2005/10]
  • A Perspective on Constructive Quantum Field Theory by Stephen J. Summers [2012/03]

• Type: DEFORMED:
  • Lectures on Solvable Irrelevant Deformations of 2D Quantum Field Theory by Yunfeng Jiang [2018/12]

• Type: DOUBLE COPY:
  • The double copy: gravity from gluons by Chris D. White [Contemporary Physics 59, 109 (2018)]
  • The Duality Between Color and Kinematics, and its Applications by Zvi Bern et al. [2019/09] 208 pp.
  • The double copy: From optics to quantum gravity by C. D. White [2021/05]

• Type: FRADKIN REPRESENTATION:
  • Quantum mechanics using Fradkin's representation by K. V. Shajesh and Kimball A. Milton [2005/10]

• Type: HIGHER DERIVATIVE:
  • The Theorem of Ostrogradsky by Richard P. Woodard [2015/06]

• Type: LIFSHITZ:
  • Lifshitz-type Quantum Field Theories in Particle Physics by Jean Alexandre [2011/09]

• Type: NON-EQUILIBRIUM:
  • Progress in Nonequilibrium Quantum Field Theory by J. Berges and J. Serrau
    1. Part I; [2003/02]
    2. Part II [2004/06]
    3. Part III [Nucl. Phys. A 785, 58 (2007)]

• Type: NON-PERTURBATIVE:
  • "Non-Perturbative Methods" in Field Theory by Kenneth Intriligator [1998/11]
  • Non-Perturbative Field Theory -- From two dimensional conformal field theory to QCD in four dimensions by Yitzhak Frishman and Jacob Sonnenschein [2010/04] Summary of their book of the same title (Cambridge, 2010)

• Type: NON-PERTURBATIVE: Re: FEYNMAN-SCHWINGER REPRESENTATION:
  • Feynman-Schwinger technique in field theories by Cetin Savkli [Cz. J. Phys. 51 B, 71 (2001)]

• Type: PERTURBATIVE:
  • Recent Progress in Perturbative Quantum Field Theory by Zvi Bern [Nucl. Phys. Proc. Suppl. 117, 260 (2003)]

• Type: PERTURBATIVE: SECTOR DECOMPOSITION:
  • Sector Decomposition by Gudrun Heinrich [2008/03]

• Type: SYMPLECTIC:
  • Lectures on Symplectic Field Theory by Chris Wendl [2016/12] 343 pp.

• Type: TWO-DIMENSIONAL:
  • Two-dimensional models by Bert Schroer [2005/02]
  • Introduction to two-dimensional quantum field theory by L. Geiger [2022/06]

• Type: VECTOR: Re: DOMAIN WALLS:
  • Domain wall fermions in vector theories by Pavlos Vranas [2000/01]

• Aspects: ANTIBRACKET FORMALISM; DYSON-SCHWINGER EQUATION; FEYNMAN DIAGRAMS; HEAT KERNEL; POTENTIALS; WICK TRANSFORMS;

• Aspects: CONTINUITY:
  • Struggles with the Continuum by John C. Baez [2016/09]

• Aspect: DIAGONALIZATION:
  • Localization and Diagonalization by Matthias Blau and George Thompson [J. Math. Phys. 36, 2192 (1995)]

• Aspect: 1/N EXPANSION:
  • Fields: Color Ordering by Warren Siegel [1999/12]
  • The 1/N expansion method in quantum field theory by Hagop Sazdjian [2013/07]

• Aspect: GROSS-PITAEVSKY EQUATION:
  • The Gross-Pitaevskii Equation and Bose-Einstein condensates by J. Rogel-Salazar [European Journal of Physics 34, 247 (2013)]

• Aspects: INTEGRATION:
  • Analytic intergration methods in quantum field theory: An introduction by J. Blümlein [2021/03]

• Aspect: LANGEVIN METHOD:
  • Status of Complex Langevin [method in field theory] by Erhard Seiler [2017/08]

• Aspect: ON-SHELL RECURSION-RELATIONS:
  • An Introduction to On-shell Recursion Relations by Bo Feng and Mingxing Luo [2011/11]

• Aspect: QUENCHES:
• Quantum Quench Dynamics by Aditi Mitra [2017/03]