\BOOKMARK [1][-]{section.2}{0 Preface}{}% 1
\BOOKMARK [1][-]{section.4}{1 September 23}{}% 2
\BOOKMARK [2][-]{section*.3}{Units; Translational invariance, Rotational invariance and Lorentz invariance for a single free particle.}{section.4}% 3
\BOOKMARK [1][-]{section.6}{2 September 25}{}% 4
\BOOKMARK [2][-]{section*.14}{Position operator; Violation of Causality; Pair Production; Fock Space; Occupation number representation; SHO; Oscillator-like formalism for Fock space.}{section.6}% 5
\BOOKMARK [1][-]{section.8}{3 September 30}{}% 6
\BOOKMARK [2][-]{section*.19}{Causality, observables and quantum fields; Constructing the quantum field from Fock space operators axiomatically; Translational invariance; Lorentz invariance and Relativistic normalization; Field constructed satisfies Klein-Gordon equation.}{section.8}% 7
\BOOKMARK [1][-]{section.10}{4 October 2}{}% 8
\BOOKMARK [2][-]{section*.20}{Constructing Fock space from the quantum field axiomatically; The Method of the Missing Box, Classical Particle Mechanics, Quantum Particle Mechanics, Classical Field Theory, Quantum Field Theory; Quantum field from free scalar theory.}{section.10}% 9
\BOOKMARK [1][-]{section.12}{5 October 7}{}% 10
\BOOKMARK [2][-]{section*.29}{Hamiltonian recovered in free scalar theory up to infinite constant; Normal ordering; Symmetries and conservation laws, Noether's theorem; Noether's theorem in field theory, conserved currents; ambiguity in currents; Energy-momentum tensor.}{section.12}% 11
\BOOKMARK [1][-]{section.14}{6 October 9}{}% 12
\BOOKMARK [2][-]{section*.37}{Lorentz transformations; Angular momentum conservation; Internal symmetries; SO\(2\) internal symmetry; Charged field; SO\(n\) internal symmetry.}{section.14}% 13
\BOOKMARK [1][-]{section.16}{7 October 14}{}% 14
\BOOKMARK [2][-]{section*.40}{Lorentz transformation, properties of conserved quantities; Discrete symmetries; -; Charge conjugation; Parity; Ambiguity of choice of parity; Time reversal; Unitary and anti-unitary operators, angular momentum; Dilatations.}{section.16}% 15
\BOOKMARK [1][-]{section.18}{8 October 16}{}% 16
\BOOKMARK [2][-]{section*.48}{Scattering theory overview; Low budget scattering theory; Turning on and off function; Schr\366dinger picture, Heisenberg picture and interaction picture; Evolution operator; Time ordered product; Three models; Wick's theorem.}{section.18}% 17
\BOOKMARK [1][-]{section.20}{9 October 21}{}% 18
\BOOKMARK [2][-]{section*.57}{Diagrammatic perturbation theory in Model 3; Vertex in model 1; Connected diagrams; Thm: \040all Wick diagrams = :econnected Wick diagrams:; Model 1 solved; Model 2 begun.}{section.20}% 19
\BOOKMARK [1][-]{section.22}{10 October 23}{}% 20
\BOOKMARK [2][-]{section*.61}{Model 2 finished; Vacuum energy c.t.; S matrix is 1; Ground state energy; Yukawa potential; Ground state wave function; Model 3 and Mass renormalization; Renormalized perturbation theory.}{section.22}% 21
\BOOKMARK [1][-]{section.24}{11 October 28}{}% 22
\BOOKMARK [2][-]{section*.67}{Feynman diagrams in Model 3; Feynman rules in model 3; A catalog of all Feynman diagrams in model 3 to O\(g2\); Scattering amplitude at O\(g2\); Direct and exchange Yukawa potentials.}{section.24}% 23
\BOOKMARK [1][-]{section.26}{12 October 30}{}% 24
\BOOKMARK [2][-]{section*.70}{``Nucleon''-anti``nucleon'' scattering at O\(g2\); Energy eigenstate probe; Meson-``nucleon'' scattering; ``Nucleon''-anti``nucleon'' annihilation; Assembling the amplitudes for various processes into one amplitude; Mandelstam variables; Mandelstam-Kibble plot; crossing symmetry; CPT; Phase space and the S matrix; Differential tran. prob.unit time.}{section.26}% 25
\BOOKMARK [1][-]{section.28}{13 November 4}{}% 26
\BOOKMARK [2][-]{section*.77}{Applications of Differential tran. prob.unit time; Decay; Cross sections, flux; Final state phase space simplified for two bodies; dd; Optical theorem; Final state phase space for three bodies; Feynman diagrams with external lines off the mass shell; they could be an internal part of a larger diagram.}{section.28}% 27
\BOOKMARK [1][-]{section.30}{14 November 6}{}% 28
\BOOKMARK [2][-]{section*.89}{Fourier transform of the new blob; A second interpretation of Feynman diagrams with lines off the mass shell; they are the coefficients of n in "426830A 0|S|0"526930B ; A third interpretation of the blob; they are the Fourier transform of the VEV of a string of Heisenberg fields; Reformulation of scattering theory; S matrix elements without the turning on and off function; LSZ formula stated.}{section.30}% 29
\BOOKMARK [1][-]{section.32}{15 November 13}{}% 30
\BOOKMARK [2][-]{section*.100}{LSZ formula proved; A second look at Model 3 and its renormalization; Renormalization conditions.}{section.32}% 31
\BOOKMARK [1][-]{section.34}{16 November 18}{}% 32
\BOOKMARK [2][-]{section*.101}{Perturbative determination of a c.t.; Problems with derivative couplings; Rephrasing renormalization conditions in terms of Green's functions; Lehmann-Kallen spectral representation for the propagator; Rephrasing renormalization conditions in terms of 1PI functions.}{section.34}% 33
\BOOKMARK [1][-]{section.36}{17 November 20}{}% 34
\BOOKMARK [2][-]{section*.105}{Perturbative determination of c.t.; Corrections to external lines in the computation of S matrix elements; One loop correction to meson self energy; Feynman's trick for combining 2 denominators; Shift to make denominator SO\(3,1\) invariant; Wick notation to make denominator O\(4\) invariant; Integral tables for convergent combinations; Self-energy at one loop studied; Combining lots of denominators; The shift in the general case to reduce any multi-loop integral to an integral over Feynman parameters.}{section.36}% 35
\BOOKMARK [1][-]{section.38}{18 November 25}{}% 36
\BOOKMARK [2][-]{section*.108}{Rephrasing coupling constant renormalization in terms of a 1PI function; Experimental significance of the definition; Renormalization versus the infinities; Renormalizable Lagrangians; Unstable particles, Decay products.}{section.38}% 37
\BOOKMARK [1][-]{section.40}{19 December 2}{}% 38
\BOOKMARK [2][-]{section*.123}{Unstable particles, lifetime, method of stationary phase; Where it begins again; Lorentz transformation laws of fields; Equivalent representations; Reducible reps; The finite dimensional inequivalent irreducible representations of SO\(3\); Unitarity; Complex conjugation; Direct product; Projection operators and reducibility.}{section.40}% 39
\BOOKMARK [1][-]{section.42}{20 December 4}{}% 40
\BOOKMARK [2][-]{section*.130}{Parametrizing the Lorentz group; Commutation relations for the generators; decomposition into two sets obeying SO\(3\) commutation relations; The catalog; Complex conjugation properties; Tensor product properties; Restriction to SO\(3\); The vector; Rank 2 tensors; Spinors.}{section.42}% 41
\BOOKMARK [1][-]{section.44}{21 December 9}{}% 42
\BOOKMARK [2][-]{section*.131}{Lagrangian made of two component spinors; Solution of Weyl equations of motion; Weyl particles; Dirac Lagrangian; Four-component spinors; Weyl basis, Dirac basis; Plane wave solutions of the Dirac equation.}{section.44}% 43
\BOOKMARK [1][-]{section.46}{22 December 11}{}% 44
\BOOKMARK [2][-]{section*.132}{Plane wave solutions of the Dirac equation; Pauli's theorem; Dirac adjoint; Pauli-Feynman notation; Parity; Bilinears; Orthogonality; Completeness; Summary.}{section.46}% 45
\BOOKMARK [1][-]{section.48}{23 December 16}{}% 46
\BOOKMARK [2][-]{section*.133}{Canonical quantization of the Dirac Lagrangian.}{section.48}% 47
\BOOKMARK [1][-]{section.50}{24 December 18}{}% 48
\BOOKMARK [2][-]{section*.134}{Perturbation theory for spinors; Time ordered product; Wick's theorem; Calculation of the contraction \(propagator\); Wick diagrams; Feynman diagrams; Matrix multiplication; Spin averages and spin sums.}{section.50}% 49
\BOOKMARK [1][-]{section.52}{25 January 6}{}% 50
\BOOKMARK [2][-]{section*.147}{Parity for spinors; Fermion and antifermion have opposite intrinsic parity; Charge conjugation; Majorana basis; Charge conjugation properties of fermion bilinears; Decay of ortho and para positronium; UPUC=UCUP\(-1\)NF; PT.}{section.52}% 51
\BOOKMARK [1][-]{section.54}{26 January 8}{}% 52
\BOOKMARK [2][-]{section*.148}{Effect of PT on states; Proof of CPT theorem in perturbation theory; Renormalization of spinor theories; Propagator.}{section.54}% 53
\BOOKMARK [1][-]{section.56}{27 January 13}{}% 54
\BOOKMARK [2][-]{section*.150}{1PI part of propagator; Spectral representation for propagator; \(p'\) to O\(g2\) in meson-nucleon theory; Coupling constant renormalization; Is renormalization sufficient to eliminate 's.}{section.56}% 55
\BOOKMARK [1][-]{section.58}{28 January 15}{}% 56
\BOOKMARK [2][-]{section*.152}{Regularization; Regulator fields; Dim'l regularization; Minimal subtraction; BPHZ renormalizability; Renormalization and symmetry; Renormalization of composite operators.}{section.58}% 57