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chapters.tex
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chapters.tex
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%
% Copyright © 2018 Peeter Joot. All Rights Reserved.
% Licenced as described in the file LICENSE under the root directory of this GIT repository.
%
%----------------------------------------------------------------------------------------
%\part{Lecture notes}
\mychapter{Fields, units, and scales.}
\input{qftLecture1.tex}
\input{qftLecture2.tex}
\section{Problems.}
\input{qftLukeProblemSet1Problem4.tex}
\input{ProblemSet1Problem3.tex}
\mychapter{Lorentz transformations.}
\input{qftLecture2LorentzTransformation.tex}
%\mychapter{Lorentz transformations and a scalar action.}
\input{qftLecture3.tex}
\section{Problems.}
\input{qftLukeProblemSet1Problem1.tex}
\mychapter{Classical field theory.}
\input{qftLecture3ClassicalFieldTheory.tex}
%\mychapter{Scalar action, least action principle, Euler-Lagrange equations for a field}
\input{qftLecture4.tex}
\section{Problems.}
\input{qftLecture3ClassicalFieldTheoryProblems.tex}
\input{qftLukeProblemSet1Problem3.tex}
\input{qftLukeProblemSet1Problem6.tex}
\input{ProblemSet1Problem1.tex}
\mychapter{Canonical quantization}
%{Canonical quantization, Klein-Gordon equation, SHOs, momentum space representation, raising and lowering operators.}
\input{qftLecture4CanonicalQuantization.tex}
\input{qftLecture5.tex}
\input{qftLecture6.tex}
\section{Problems.}
\input{scalarFieldCreationOpCommutator.tex}
\input{scalarFieldHamiltonian.tex}
\input{ProblemSet1Problem2.tex}
\input{ProblemSet1Problem5.tex}
\input{ProblemSet2Problem4.tex}
%\mychapter{Symmetries, translation currents, energy momentum tensor.}
\mychapter{Symmetries.}
\input{qftLecture6Symmetries.tex}
\input{qftLecture7.tex}
%\mychapter{1st Noether theorem, spacetime translation current, energy momentum tensor, dilatation current.}
\input{qftLecture8.tex}
%\mychapter{Unbroken and spontaneously broken symmetries, Higgs Lagrangian, scale invariance, Lorentz invariance, angular momentum quantization.}
\input{qftLecture9.tex}
\section{Problems.}
\input{noetherCurrentScalarField.tex}
\input{qftLukeProblemSet1Problem5.tex}
\input{ProblemSet1Problem4.tex}
\input{ProblemSet2Problem2.tex}
\input{ProblemSet2Problem3.tex}
%\ifthenelse{\boolean{redacted}}
%{
%\relax
%}
%{
% \input{ProblemSet5Problem2.tex}
%}
\mychapter{Lorentz boosts, generators, Lorentz invariance, microcausality.}
\input{qftLecture10.tex}
%\mychapter{Microcausality, Lorentz invariant measure
\input{qftLecture11.tex}
\mychapter{External sources.}
\input{qftLecture11ExternalSources.tex}
%\mychapter{Klein-Gordon Green's function, Feynman propagator path deformation, Wightman function, Retarded Green's function.}
\input{qftLecture12.tex}
%\section{Problems.}
% \input{ProblemSet2Problem1.tex}
%\mychapter{Forced Klein-Gordon equation.}
\input{qftLecture13.tex}
%\mychapter{Coherent states, Number density.}
\input{qftLecture13CoherentStates.tex}
\section{Problems.}
\input{ProblemSet2Problem1.tex}
\input{qftLukeProblemSet1Problem2.tex}
%\mychapter{Time ordered product, perturbation theory, Heisenberg picture, interaction picture, Dyson's formula.}
\mychapter{Perturbation theory.}
\input{qftLecture13FeynmansGreenFunction.tex}
% \input{nonhomoKGhamiltonian.tex}
%\mychapter{Time evolution, Hamiltonian pertubation, ground state.}
\input{qftLecture14.tex}
%\mychapter{Perturbation ground state, time evolution operator, time ordered product, interaction.}
\input{qftLecture15.tex}
\input{qftLecture15b.tex}
\section{Problems.}
\input{nonhomoKGhamiltonian.tex}
\input{ProblemSet4Problem1.tex}
\input{qftLecture15Problems.tex}
\input{braOmega.tex}
\input{ProblemSet3Problem1.tex}
\input{ProblemSet3Problem2.tex}
\input{ProblemSet3Problem4.tex}
\mychapter{Scattering and decay.}
\input{qftLecture15bScattering.tex}
%\mychapter{Differential cross section, scattering, pair production, transition amplitude, decay rate, S-matrix, connected and amputated diagrams, vacuum fluctuation, symmetry coefficient.}
\input{qftLecture16.tex}
%\mychapter{Scattering, decay, cross sections in a scalar theory.}
\input{qftLecture17.tex}
\input{qftLecture18.tex}
\section{Problems.}
\input{ProblemSet4Problem2.tex}
\input{ProblemSet4Problem3.tex}
\input{ProblemSet3Problem3.tex}
\mychapter{Fermions, and spinors.}
\input{qftLecture19.tex}
\input{qftLecture20.tex}
\input{qftLecture21.tex}
\input{qftLecture21b.tex}
\input{qftLecture22.tex}
\input{qftLecture23.tex}
\section{Problems.}
\input{ProblemSet4Problem4.tex}
\input{qftLecture19Problems.tex}
\input{qftLecture20Problems.tex}
\input{squarerootpsigma.tex}
\input{qftLecture21aProblems.tex}
\input{qftLecture21bProblems.tex}
\input{qftLecture23Problems.tex}