preface to the first edition
preface to the second edition
convention, notation, and units
part i: motivation and foundation
1.1 who needs it?
1.2 path integral formulation of quantum physics
1.3 from mattress to field
1.4 from field to particle to force
1.5 coulomb and newton: repulsion and attraction
1.6 inverse square law and the floating 3-brane
1.7 feynman diagrams
1.8 quantizing canonically
1.9 disturbing the vacuum
1.10 symmetry
1.11 field theory in curved spacetime
1.12 field theory redux
part ii: dirac and the spinor
ii.1 the dirac equation
ii.2 quantizing the dirac field
.ii.3 lorentz group and weyl spinors
ii.4 spin-statistics connection
ii.5 vacuum energy, grassmann integrals, and feynman diagrams for fermions
ii.6 electron scattering and gauge invariance
ii.7 diagrammatic proof of gauge invariance
ii.8 photon-electron scattering and crossing
part iii: renormalization and gauge invariance
iii.1 cutting off our ignorance
iii.2 renormalizable versus nonrenormalizable
iii.3 counterterms and physical perturbation theory
iii.4 gauge invariance: a photon can find no rest
iii.5 field theory without relativity
iii.6 the magnetic moment of the electron
iii.7 polarizing the vacuum and renormalizing the charge
iii.8 becoming imaginary and conserving probability
part iv: symmetry and symmetry breaking
iv.1 symmetry breaking
iv.2 the pion as a nambu-goldstone boson
iv.3 effective potential
iv.4 magnetic monopole
iv.5 nonabelian gauge theory
iv.6 the anderson-higgs mechanism
iv.7 chiral anomaly
part v: field theory and collective phenomena
v.1 superfluids
v.2 euclid, boltzmann, hawking, and field theory at finite temperature
v.3 landau-ginzburg theory of critical phenomena
v.4 superconductivity
v.5 peierls instability
v.6 solitons
v.7 vortices, monopoles, and instantons
part vi: field theory and condensed matter
vi.1 fractional statistics, chern-simons term, and topological field theory
vi.2 quantum hall fluids
vi.3 duality
vi.4 the a models as effective field theories
vi.5 ferromagnets and antiferromagnets
vi.6 surface growth and field theory
vi.7 disorder: replicas and grassmannian symmetry
vi.8 renormalization group flow as a natural concept in high energy and condensed matter physics
part vii: grand unification
vii.1 quantizing yang-mills theory and lattice gauge theory
vii.2 electroweak unification
vii.3 quantum chromodynamics
vii.4 large n expansion
vii.5 grand unification
vii.6 protons are not forever
vii.7 so(10) unification
part viii: gravity and beyond
viii.1 gravity as a field theory and the kaluza-klein picture
viii.2 the cosmological constant problem and the cosmic coincidence problems
viii.3 effective field theory approach to understanding nature
viii.4 supersymmetry: a very brief introduction
viii.5 a glimpse of string theory as a 2-dimensional field theory
closing words
part n
n.1 gravitational waves and effective field theory
n.2 gluon scattering in pure yang-mills theory
n.3 subterranean connections in gauge theories
n.4 is einstein gravity secretly the square of yang-mills theory?
more closing words
appendix a: gaussian integration and the central identity of quantum field theory
appendix b: a brief review of group theory
appendix c: feynman rules
appendix d: various identities and feynman integrals
appendix e: dotted and undotted indices and the majorana spinor
solutions to selected exercises
further reading
index
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