Siegel's lectures, PHY 622, F'19

String scattering, etc.

Topologyin subsectionsbackground material & homework
graph topology
  • P−V = L−1
VC2 (last ⅕)
group theory via graphsIB1 (matrices), IC4 (color & flavor)
  • index lines
  • Feynman graphs
VC9VC9.1 (due 10/28)
1/Ncolor expansion
  • color loops
  • Euler number
  • flavor
VIIC4
worldsheet topology
  • duality
  • tadpoles
  • open→closed
XIA2XIA2.1 (due 11/1)
discrete worldline symmetriesIA4 (proper time)
  • CPT
  • worldline/spacetime
IA5
string theory typologyIB4-5 (SO/Sp groups)
  • Chan-Paton
  • worldsheet CPT
  • orientation
  • supersymmetry
XIA4XIA4.1 (due 11/4)
Geometry
particle propagatorsIIIA1 (Dirac δ), IIIB (classical), VA3 (nonrelativistic)
  • proper time
  • iε ℞
  • energy sign
VB1VB1.1 (due 11/6)
1st-quantized particle graphs
  • Schwinger parameters
  • 1st-q action
VC8
worldsheet latticesVA5,VB4 (Wick rotation)
  • discrete worldsheet
  • string action
  • preon propagators
XIA7 (1st ½)XIA7.1 (due 11/6)
Particle scattering
1st-q S-matricesIIIB3 (background fields), VA4 (nonrelativistic)
  • perturbation
  • interaction picture
  • Green function
  • loops
VIIIC5
Γ functions
  • Schwinger parametrization
  • Beta function
VIIA2VIIA2.2,3, VIIC2.2 (due 11/11)
Coulomb scatteringIA4 (Mandelstam variables), VA2 (JWKB)
  • eikonal approximation
  • strong coupling
  • infrared
VIIA6 (2nd ½)VIIA6.2 (due 11/13)
String trees
Regge behavior
  • ladders
  • complex angular momentum
  • duality
XIA1XIA1.2 (due 11/15)
Green functions
  • cylinder→plane
  • closed→open
XIB2 (last ⅖)VIIB1.1 (due 11/15)
Open trees
  • 4 tachyons
  • limits
  • higher-point
XIB6XIB6.2 (due 11/18)
Closed trees
  • Schwinger parameters
  • 4 tachyons
  • open factorization
XIB7XIB7.1,2 (due ...)
Green-Schwarz
superparticleIIC1-2 (supersymmetry), IIIB1-2 (scalar particle)
  • Hamiltonian
  • constraints
  • lightcone gauge
IIIB6IIIB6.1 (due ...)
superstringXIA5 (T-duality)
  • currents
  • action
  • lightcone gauge
XIA9