]>
grading
Homeworks, a takehome midterm, 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.
DiracFeynman'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.
AharonovBohm 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 AharonovBohm
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
DysonSchwinger 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 hbar)
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 1215
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. 3544, 4952, 6263, 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
PHYS7224
PHYS7224
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.
Zee03appCD
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.46
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 *
Gaugeinvariant sets
Unpublished notes: highorders diseases; gauge set counting; finitness conjecture.
November 28
Thanksgiving
December 3
29.
Gauge invariance
ShWi06
A. Shapere and F. Wilczek
Geometry of selfpropulsion 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]