# Physics Reading List: From Zero to Research Literature **Audience:** Pure math undergraduate with no prior physics. Mathematical rigor preferred over hand-waving. End goal: read research literature in dark matter, string theory, and theoretical physics. **Long-term spine:** Landau & Lifshitz, *Course of Theoretical Physics* (10 volumes). Once you have the foundations from Phase 1, L&L becomes the primary vehicle for deepening your physics understanding. The individual volumes are noted at the appropriate points below. --- ## Phase 0: Orientation and Motivation Before grinding through textbooks, build intuition for what physics is actually about and where the field stands. - **Feynman, *The Character of Physical Law*** -- Short, readable, gives you a sense of how physicists think. Not a textbook. Read in a weekend. - **Sean Carroll, *The Biggest Ideas in the Universe* (3 volumes)** -- Carroll is a working cosmologist who refuses to dumb things down. Volume 1 (Space, Time, and Motion) covers classical mechanics through GR with real equations. Volume 2 (Quanta and Fields) does the same for QM and QFT. These are conceptual companions, not replacements for textbooks. - **Susskind & Hrabovsky, *The Theoretical Minimum: What You Need to Know to Start Doing Physics*** -- Covers classical mechanics at minimum viable depth. Designed for exactly your situation. Pairs with Susskind's Stanford lecture series (free on YouTube). --- ## Phase 1: Foundations These are the core undergraduate physics subjects. You need all of them before touching QFT or GR properly. ### 1.1 Classical Mechanics This is where you learn Lagrangian and Hamiltonian mechanics, which are the language of all subsequent physics. - **Taylor, *Classical Mechanics*** -- Standard undergraduate text. Clear, well-structured, good problems. Covers Newton, Lagrange, Hamilton, oscillations, central forces, rigid bodies. Start here. - **Kleppner & Kolenkow, *An Introduction to Mechanics*** -- More rigorous Newtonian mechanics. Good if Taylor feels too slow at the start. - **Landau & Lifshitz, *Mechanics* (Course of Theoretical Physics, Vol. 1)** -- Terse, elegant, starts from the principle of least action. A math student will appreciate the style. Use as a second pass after Taylor. - **Goldstein, Poole & Safko, *Classical Mechanics* (3rd ed.)** -- Graduate-level. Comprehensive treatment of Lagrangian/Hamiltonian mechanics, canonical transformations, Hamilton-Jacobi theory. You will want this before doing QFT. - **Arnold, *Mathematical Methods of Classical Mechanics*** -- The differential-geometric treatment. Symplectic manifolds, Lie groups. As a math student you may find this the most satisfying treatment, but read it after Taylor or Goldstein so you have physical intuition to attach the formalism to. **Online:** - MIT OCW 8.01 (Newtonian, skip if comfortable) and 8.223 (Classical Mechanics II -- Lagrangian/Hamiltonian). - Susskind, *Theoretical Minimum* Lecture 1-10 (Classical Mechanics), Stanford on YouTube. ### 1.2 Electromagnetism - **Griffiths, *Introduction to Electrodynamics* (4th ed.)** -- The universal standard. Covers electrostatics, magnetostatics, electrodynamics, Maxwell's equations, electromagnetic waves, special relativity. Do the problems. - **Purcell & Morin, *Electricity and Magnetism* (3rd ed.)** -- More physical intuition. Good complement to Griffiths. - **Landau & Lifshitz, *The Classical Theory of Fields* (Course of Theoretical Physics, Vol. 2)** -- Covers special relativity AND electrodynamics in a unified treatment. Also introduces general relativity. Read after Griffiths. This is where L&L starts paying dividends -- the relativistic formulation of electrodynamics here is more elegant than what you will find elsewhere. - **Jackson, *Classical Electrodynamics* (3rd ed.)** -- Graduate-level. Notorious for difficulty. Use as reference for radiation theory, multipole expansions, relativistic electrodynamics. **Online:** - MIT OCW 8.02 (basic E&M), 8.07 (Electromagnetism II, pairs with Griffiths). - Feynman Lectures on Physics, Volume II (free at feynmanlectures.caltech.edu). ### 1.3 Thermodynamics and Statistical Mechanics - **Schroeder, *An Introduction to Thermal Physics*** -- Excellent first text. Covers thermodynamics, statistical mechanics, quantum statistics. - **Landau & Lifshitz, *Statistical Physics, Part 1* (Course of Theoretical Physics, Vol. 5)** -- Terse and elegant. Read after Schroeder. The L&L treatment of phase transitions and the Gibbs distribution is particularly good. - **Reif, *Fundamentals of Statistical and Thermal Physics*** -- More rigorous, denser. Good second treatment. - **Pathria & Beale, *Statistical Mechanics* (3rd ed.)** -- Graduate-level. Comprehensive. **Online:** - MIT OCW 8.044 (Statistical Physics I). - Susskind, *Theoretical Minimum* lectures on Statistical Mechanics. ### 1.4 Special Relativity - **Taylor & Wheeler, *Spacetime Physics* (2nd ed.)** -- The classic introduction. Focuses on invariants and spacetime diagrams. - **Griffiths, *Introduction to Electrodynamics*, Chapter 12** -- SR from the E&M perspective. Shows how electric and magnetic fields transform. - **L&L Vol. 2 (*The Classical Theory of Fields*)** covers SR thoroughly in its first half. --- ## Phase 2: Intermediate / Upper Undergraduate ### 2.1 Quantum Mechanics - **Griffiths, *Introduction to Quantum Mechanics* (3rd ed.)** -- Standard first course. Wave function, Schrodinger equation, hydrogen atom, angular momentum, perturbation theory, scattering. - **Shankar, *Principles of Quantum Mechanics* (2nd ed.)** -- More mathematical. Starts with linear algebra review, then develops QM from the Dirac formalism. Better suited to someone who thinks in terms of vector spaces and operators. - **Landau & Lifshitz, *Quantum Mechanics: Non-Relativistic Theory* (Course of Theoretical Physics, Vol. 3)** -- The L&L treatment is characteristically concise and powerful. The chapters on angular momentum, perturbation theory, and scattering are superb. Read after Griffiths or Shankar. - **Sakurai & Napolitano, *Modern Quantum Mechanics* (3rd ed.)** -- Graduate-level. Starts from Stern-Gerlach and builds up. Emphasis on Dirac notation, symmetries, angular momentum theory. Essential reading. - **Weinberg, *Lectures on Quantum Mechanics* (2nd ed.)** -- Weinberg's perspective is always worth having. **Problem books:** - **Irodov, *Problems in General Physics*** -- Famous for difficult problems spanning all of undergraduate physics. - **Zettili, *Quantum Mechanics: Concepts and Applications*** -- Many worked examples. **Online:** - MIT OCW 8.04/8.05/8.06 (Quantum Physics I/II/III). Allan Adams's 8.04 lectures are particularly good. - Susskind, *Theoretical Minimum* lectures on Quantum Mechanics. - Feynman Lectures, Volume III. ### 2.2 Continuum Mechanics and Fluid Dynamics (L&L Track) - **Landau & Lifshitz, *Fluid Mechanics* (Course of Theoretical Physics, Vol. 6)** -- If you are following the L&L series, this comes after statistical physics. Not strictly necessary for your string theory / dark matter goals, but completes your understanding of classical physics and the L&L approach. - **Landau & Lifshitz, *Theory of Elasticity* (Course of Theoretical Physics, Vol. 7)** -- Similarly, optional for your main path but part of the complete L&L education. ### 2.3 Mathematical Methods (as needed) - **Arfken, Weber & Harris, *Mathematical Methods for Physicists*** -- Reference for special functions, Green's functions, complex analysis applications, tensor analysis. - **Nakahara, *Geometry, Topology and Physics*** -- For differential geometry, fiber bundles, characteristic classes as used in gauge theory and string theory. - **Frankel, *The Geometry of Physics*** -- Similar to Nakahara but with a different emphasis. --- ## Phase 3: Advanced / Graduate ### 3.1 General Relativity - **Carroll, *Spacetime and Geometry: An Introduction to General Relativity*** -- The best first GR textbook for someone headed toward research. Clear, modern, good treatment of differential geometry followed by Einstein's equations, Schwarzschild solution, cosmology. - **Landau & Lifshitz, *The Classical Theory of Fields* (Vol. 2), second half** -- The GR treatment in L&L is compact and powerful. The derivation of the Einstein field equations from the action principle is classic L&L. Read this alongside or after Carroll. - **Wald, *General Relativity*** -- The mathematically rigorous treatment. Precise about manifold structure, causal structure, singularity theorems. - **Misner, Thorne & Wheeler, *Gravitation*** -- Encyclopedic, 1200+ pages, two parallel tracks. A reference more than a textbook. **Online:** - Carroll's GR lecture notes (gr-qc/9712019 on arXiv) -- free, condensed version of his textbook. - Susskind, *Theoretical Minimum* lectures on General Relativity. - MIT OCW 8.962 (General Relativity). ### 3.2 Particle Physics and the Standard Model - **Griffiths, *Introduction to Elementary Particles* (2nd ed.)** -- Accessible overview. Covers quarks, leptons, Feynman diagrams, gauge symmetries, Higgs mechanism. - **Halzen & Martin, *Quarks and Leptons*** -- More quantitative. Good bridge to QFT. ### 3.3 Quantum Field Theory This is the framework underlying the Standard Model, and QFT competence is a prerequisite for string theory. - **Peskin & Schroeder, *An Introduction to Quantum Field Theory*** -- The standard graduate text. Covers canonical quantization, Feynman diagrams, QED, renormalization, non-Abelian gauge theories, the Standard Model. - **Schwartz, *Quantum Field Theory and the Standard Model*** -- More modern than Peskin & Schroeder, sometimes clearer. - **Landau & Lifshitz, *Quantum Electrodynamics* (Course of Theoretical Physics, Vol. 4)** -- The L&L treatment of QED. Characteristically concise. The treatment of radiative corrections and renormalization is elegant. Read alongside or after Peskin & Schroeder for a different perspective. - **Srednicki, *Quantum Field Theory*** -- Available free on Srednicki's website. Organized differently (spin-0, then spin-1/2, then spin-1). - **Weinberg, *The Quantum Theory of Fields* (3 volumes)** -- The definitive treatment. Volume 1 (Foundations), Volume 2 (Modern Applications), Volume 3 (Supersymmetry). Not a first text but essential reference. Weinberg derives everything from symmetry principles. - **Zee, *Quantum Field Theory in a Nutshell*** -- Focuses on physical intuition and the big picture. - **Duncan, *The Conceptual Framework of Quantum Field Theory*** -- Focuses on foundational and conceptual issues. Good for a mathematician. **Online:** - MIT OCW 8.323 (Relativistic Quantum Field Theory I/II/III). - Tong, *Quantum Field Theory* lecture notes (DAMTP Cambridge, free). - Susskind, *Theoretical Minimum* lectures on Particle Physics and QFT. ### 3.4 Remaining L&L Volumes - **Landau & Lifshitz, *Statistical Physics, Part 2* (Course of Theoretical Physics, Vol. 9)** -- Covers condensed matter theory: superfluidity, superconductivity, Fermi liquid theory, phase transitions. Read after QFT basics are in place. - **Landau & Lifshitz, *Physical Kinetics* (Course of Theoretical Physics, Vol. 10)** -- Transport phenomena, kinetic equations, plasma physics. The final volume. Read as interest dictates. Note: L&L Vol. 8 (*Electrodynamics of Continuous Media*) covers electromagnetic properties of matter -- dielectrics, magnetic media, superconductors, electromagnetic waves in media. Read when relevant to your interests. ### 3.5 Cosmology - **Ryden, *Introduction to Cosmology*** -- Accessible undergraduate-level introduction. - **Dodelson & Schmidt, *Modern Cosmology* (2nd ed.)** -- The standard graduate text. Covers the hot Big Bang, inflation, CMB anisotropies, large-scale structure, dark matter, dark energy. This is where you learn to read cosmology papers. - **Weinberg, *Cosmology*** -- Weinberg's treatment. Thorough and rigorous. - **Kolb & Turner, *The Early Universe*** -- Classic text on early universe physics: baryogenesis, nucleosynthesis, relic abundances (directly relevant to dark matter). - **Mukhanov, *Physical Foundations of Cosmology*** -- Strong on inflation and perturbation theory. --- ## Phase 4: Research Frontier ### 4.1 String Theory / M-Theory - **Zwiebach, *A First Course in String Theory* (2nd ed.)** -- The place to start. Designed for advanced undergrads/beginning grads. Covers bosonic strings, superstrings, D-branes. Excellent problems. - **Polchinski, *String Theory* (2 volumes)** -- The standard graduate text. Volume 1 covers bosonic strings, Volume 2 covers superstrings. Requires solid QFT. - **Becker, Becker & Schwarz, *String Theory and M-Theory*** -- More modern, covers M-theory, dualities, flux compactifications. - **Green, Schwarz & Witten, *Superstring Theory* (2 volumes)** -- The original comprehensive text. Historical importance. **Online:** - Tong, *String Theory* lecture notes (DAMTP Cambridge, free). - MIT OCW 8.821 (String Theory and Holographic Duality). ### 4.2 Dark Matter: Entry Points into the Literature Once you have GR, particle physics, and cosmology, you can start reading dark matter literature directly. - **Bertone, Hooper & Silk, "Particle Dark Matter: Evidence, Candidates and Constraints" (Physics Reports 405, 2005)** -- The standard review. arXiv: hep-ph/0404175. - **Jungman, Kamionkowski & Griest, "Supersymmetric Dark Matter" (Physics Reports 267, 1996)** -- Classic review of SUSY dark matter candidates. - **Feng, "Dark Matter Candidates from Particle Physics and Methods of Detection" (ARAA 48, 2010)** -- More concise and modern overview. - **Planck Collaboration results papers** -- The CMB measurements that constrain dark matter density and cosmological parameters. - **Particle Data Group reviews** -- The PDG "Dark Matter" review (updated annually at pdg.lbl.gov). ### 4.3 String Theory: Entry Points into the Literature - **Aharony, Gubser, Maldacena, Ooguri & Oz, "Large N Field Theories, String Theory and Gravity" (Physics Reports 323, 2000)** -- The standard review of AdS/CFT. - **Tong, "String Theory" (2009)** -- Lecture notes that double as a readable review. --- ## The Landau & Lifshitz Roadmap For reference, the complete *Course of Theoretical Physics* and where each volume fits: | Vol. | Title | When to Read | |------|-------|-------------| | 1 | Mechanics | After Taylor (Phase 1) | | 2 | The Classical Theory of Fields | After Griffiths E&M (Phase 1-2), revisit GR half in Phase 3 | | 3 | Quantum Mechanics: Non-Relativistic Theory | After Griffiths/Shankar QM (Phase 2) | | 4 | Quantum Electrodynamics | Alongside Peskin & Schroeder (Phase 3) | | 5 | Statistical Physics, Part 1 | After Schroeder (Phase 1-2) | | 6 | Fluid Mechanics | Optional, after Vol. 5 | | 7 | Theory of Elasticity | Optional, after Vol. 6 | | 8 | Electrodynamics of Continuous Media | When relevant to interests | | 9 | Statistical Physics, Part 2 | After QFT basics (Phase 3) | | 10 | Physical Kinetics | As interest dictates | The L&L series is not designed to be read cold. Each volume assumes you have seen the material before in a more pedagogical text. The value of L&L is the unified perspective, the elegance of derivation, and the depth of physical insight compressed into minimal space. Read the introductory text first, then L&L for the definitive treatment. --- ## Recommended Progression **Year 1: Build the foundation.** 1. Susskind, *Theoretical Minimum* (book) alongside Taylor, *Classical Mechanics*. Then L&L Vol. 1. 2. Griffiths, *Introduction to Electrodynamics*. Then L&L Vol. 2 (first half: SR and E&M). 3. Schroeder, *Thermal Physics*. Then L&L Vol. 5. 4. Taylor & Wheeler, *Spacetime Physics* for SR. **Year 2: Quantum mechanics and GR.** 5. Shankar or Griffiths QM, then Sakurai. Then L&L Vol. 3. 6. Carroll, *Spacetime and Geometry* for GR. Then L&L Vol. 2 (second half: GR). 7. Griffiths, *Introduction to Elementary Particles*. **Year 3: QFT, cosmology, and specialization.** 8. Peskin & Schroeder (or Schwartz) for QFT. L&L Vol. 4 alongside. 9. Dodelson & Schmidt, *Modern Cosmology*. 10. Zwiebach, *A First Course in String Theory*. 11. Start reading review articles in your area of interest. --- ## Free Online Resources Summary | Resource | URL | Coverage | |----------|-----|----------| | Feynman Lectures on Physics | feynmanlectures.caltech.edu | All of undergraduate physics | | MIT OpenCourseWare Physics | ocw.mit.edu/courses/physics | Full course materials, 8.01 through 8.962 | | Susskind Theoretical Minimum | theoreticalminimum.com | Classical mechanics through QFT and cosmology | | Tong Lecture Notes | damtp.cam.ac.uk/user/tong | QFT, string theory, GR, statistical mechanics | | Srednicki QFT | web.physics.ucsb.edu/~mark/qft.html | Complete QFT textbook | | Carroll GR Notes | arXiv: gr-qc/9712019 | General relativity | | 3Blue1Brown | youtube.com/3blue1brown | Mathematical intuition | --- ## A Note on Problem-Solving Reading physics is not learning physics. You must do problems. For each subject: 1. Work through the textbook problems (at minimum the odd-numbered ones). 2. For classical mechanics and E&M, supplement with Irodov for challenge problems. 3. For quantum mechanics, Zettili has extensive worked examples. 4. For QFT, the Peskin & Schroeder problems are essential. Physics is learned with pencil and paper. A math student already knows this from proofs and problem sets. The same discipline applies here.