]> grading Homeworks, a take-home mid-term, and a final exam; the grades will be based on these (50%/20%/30%). Exams and homeworks include optional problems ("bonus" = extra credit). Homework assignments will be posted on the web every Thursday, and graded by students by next Tuesday. August 20 1. Lattice Field Theory Diffusion as a sum over Paths chapterName Chapter 1 Lattice Field Theory Cvitanović lecture notes ZeeChap1 Chapter 1 Who Needs It? From A. Zee "Quantum Field Theory in a Nutshell" ItzDrouffe C. Itzykson and J.-M. Drouffe Statistical field theory, vol 1 (Cambridge U. Press, 1991) Chapter 1: From Brownian motion to Euclidean fields (A nice discussion of free propagation as Brownian walks) August 22 2. Discrete Fourier transforms Fourier modes as eigenmodes of translation chapterName Chapter 1 Lattice Field Theory Cvitanović lecture notes #1 problems - due Tue Aug 27, in class August 27 3. Green's function in Quantum Mechanics chapterName Chapter 2 Path integral formulation of Quantum Mechanics Cvitanović lecture notes chapterKadanoff L.P. Kadanoff Statistical Physics; Statics, Dynamics and Renormalization Chapter 3: Gaussian Distributions PhysicsTodRev Physics Today review August 29 4. Path integral - Quantum Mechanics ZeeChap2 Chapter 2 Path integral formulation of Quantum Mechanics From A. Zee "Quantum Field Theory in a Nutshell" #2 problems - due Tue Sep 3, in class September 2 Labor Day September 3 5. Dirac-Feynman's Formulation of Quantum Mechanics QM amplitudes as a sum over paths chapterName Chapter 3 Path integral formulation of Quantum Mechanics Cvitanović lecture notes chapterName Chapter 6 Path Integrals in Quantum Mechnics M. Srednicki book lecturer: Brian Swingle September 5 6. Aharonov-Bohm effect, anyoons, Dirac monopole QM amplitudes in presence of a magnetic field as a sum over paths. Most modern textbooks have a decent discussion of the Aharonov-Bohm effect. Alert me if there is an exposition you particularly like. #3 problems - due Tue Sep 10, in class September 10 7. Quefithe Quefithe Fable Quefithe QFTchap2 Chapter 2 Generating Functionals What the mole saw September 12 8. Quefithe Dyson-Schwinger equations #4 problems - due Tue Sep 17, in class September 17 9. Quefithe QFTchap3 Chapter 3 Path Integrals What the crow saw September 19 10. Quefithe What the fox saw Quefithe Review by Feynman #5 problems - due Tue Sep 24, in class lecturer: Ignacio Taboada September 24 11. Standard Model lecturer: Ignacio Taboada September 26 12. Standard Model no problem - none due this week October 1 13. Tree expansions Saddle point evaluation of path integrals, one loop (leading h-bar) corrections. October 3 14. Ward identities Symmetries relate and constrain different Green's functions. #6 problems - due Tue Oct 8, in class October 8 15. Perturbation expansions are asymptotic Formally, perturbation series is always asymptotic, but can be very accurate. FiniteFieldTheo QED is it finite, not asymptotic? October 10 16. Midterm All material covered in the 1. part of the course: generating functions, path integrals, their perturbative expansions and symmetries. midterm - usual time, in class midterm grades distribution [all solutions are in the book] #7 problems - due Thu Oct 17, in class October 12-15 fall break October 17 17. Scalar field theory ZeeChap3 Chapter 3 From Mattress to Field From A. Zee "Quantum Field Theory in a Nutshell" #8 problems - due Thu Oct 24, in class October 22 18. Scalar field theory ZeeChap4 Chapter 4 From Field to Particle to Force From A. Zee "Quantum Field Theory in a Nutshell" October 24 19. Scalar field theory ZeeChap5 Chapter 5 Coulomb and Newton: Repulsion and Attraction From A. Zee "Quantum Field Theory in a Nutshell" ZeeChap11 Chapter 11 Field Theory Redux From A. Zee "Quantum Field Theory in a Nutshell" #9 problems - due Thu Oct 31, in class October 29 20. The Dirac Equation ZeeChapII1 Chapter II.1 The Dirac Equation From A. Zee "Quantum Field Theory in a Nutshell" October 31 21. Lorenz transformations GreiReinDirac W. Greiner and J. Reinhardt Dirac equation The excerpt in ChaosBook.org/library (click on Field Theory link) covers Dirac's original derivation of his equation. #10 problems - due Thu Nov 7, in class November 5 22. Fermions QFTchap4 Chapter 4 Fermions read sects. A, B, C email7 what you need to know about fermions July 25, 2013 lecturer: Edward Witten 22x. Feynman Diagrams in String Theory WittenFeynmDia video What any physicist should know even if she does not want to do mess with strings. NYRevDyson Freeman J. Dyson The World on a String To balance the pied piper song - a delightful sceptic's view. November 7 23. Gamma mu nu gymnastics PesSch95chap3 Chapter 3 Dirac equation From Peskin and Schroeder, "An Introduction to Quantum Field Theory"; study pp. 35-44, 49-52, 62-63, rest we'll skip. DasGroupCommRels P. Cvitanovic a very brief history of diagrammatics (worth a glance) A lighting fast way to compute commutators, but you have to learn how to draw first. See page 38. HarterHamilt W.G. Harter Hamilton's turns (for fun only) How Hamilton (who would have guessed...) used quaternions to to extend the discrete Fourier transform from a circle to a sphere. #11 problems - due Thu Nov 14, in class October 28 -November 15 spring registration PHYS-7224 PHYS-7224 Chaos and what to do about it Spring 2014 I will go through classical part of the ChaosBook.org - this too will turn out to be a form of field theory / statistical mechanics, not any less beautiful than what we learned this semester. Hope you will join me. Tell your friends to join us too. November 12 24. Feynman Diagrams DKaiser D. Kaiser Physics and Feynman's Diagrams American Scientist 93, 156 (2005) DasGroupFeynmDiag P. Cvitanovic a very brief history of diagrammatics (for fun only) See page 41. November 14 25. Feynman rules Lecture25a P. Cvitanovic Feynman rules part I For Edwin who was not there: no new idea since 1948. Mouse over video's top edge to change the resolution. Lecture25b P. Cvitanovic Feynman rules part II Big day: our first QED Feynman integral. Click on video's gearwheel, lower right edge, to change the resolution. Zee03appC-D Appendices C and D Feynman rules From A. Zee "Quantum Field Theory in a Nutshell". Read Chapt III.6. #12 problems - due Tue Nov 19, in class November 19 26. Electron magnetic moment ZeeMagMom Chapter III.4-6 Electron magnetic moment From A. Zee "Quantum Field Theory in a Nutshell". Read Chapt III.6. Lecture26a P. Cvitanovic Electron magnetic moment (Dirac triumph) (part 1) Big day: our first QED Feynman integral. Click on video's gearwheel, lower right edge, to change the resolution. Lecture26b P. Cvitanovic Electron magnetic moment (Dirac triumph) (part 2) Dirac explains a factor of 2 in observed electron magnetic moment. Lecture26c P. Cvitanovic Electron magnetic moment (Dirac triumph) (part 3) Schwinger's vertex. gaugeInv Predrag Gauge invariance is the bane of my life (for insomniacs) DasGroupFeynmDiag Apostolos Vasileiadis Symmetry (for fun only) Gauge invariance is not preserved! November 21 27. Electron magnetic moment Zee03pp438 Chapter VIII.3 The treshold of ignorance From A. Zee "Quantum Field Theory in a Nutshell". Read Chapt III.6. Lecture27 P. Cvitanovic Anomalous electron magnetic moment (Schwinger's triumph) Schwinger's \alpha/2\pi calculation sketched out. (You'll have to screw up the volume, sorry.) #13 problems - due Tue Dec 3, in class November 26 28. Renormalization CvitQFTparametric Chapter * Parametric representation Unpublished notes: momentum space Feynman integrals, parametric representation. CvitQFTrenorm Chapter * Renormalization Unpublished notes: Power counting, UV divergences, subtractions, counterterms. CvitQFTdisease Chapter * Gauge-invariant sets Unpublished notes: high-orders diseases; gauge set counting; finitness conjecture. November 28 Thanksgiving December 3 29. Gauge invariance ShWi06 A. Shapere and F. Wilczek Geometry of self-propulsion at low Reynolds number From swimming to gauge potentials in one lecture. But what is a photon, really? ShWi06 The base space (space of unlocated shapes) for cats A fibration and a base space :) December 5 30. Gribov copies NickCave Higgs Boson blues NickCave Nick Cave and The Bad Seeds The full length version December 6 GT classes end Final exam syllabus An overview of material covered by the final exam. December 10 final exam 11:30am - 14:20pm closed book, closed lecture notes. Course grades distribution [alert me if I am missing some homework grades] until December ? course opinion survey CETL web link December 16 GT grades due at noon December 23 the future looks bright Future's So Bright, I Gotta Wear Shades [click right, open in new tab]