Useful Review References
1) Building light nuclei from neutrons, protons, and pions, By Daniel R. Phillips. 10.1007/s10582-002-0079-z.
2) Effective field theory and the Fermi surface, By Joseph Polchinski. hep-th/9210046.
3) Five lectures on effective field theory, By David B. Kaplan. nucl-th/0510023.
4) Introduction to effective field theory, By Eric Braaten.
5) Universality in few-body systems with large scattering length, By E. Braaten and H.W. Hammer. 10.1016/j.physrep.2006.03.001 .
6) The few-atom problem, By D.S. Petrov.
Useful Original Sources
1) Two nucleon systems from effective field theory, By David B. Kaplan, Martin J. Savage, Mark B. Wise. 10.1016/S0550-3213(98)00440-4.
2) Effective field theory of short range forces, By U. van Kolck. 10.1016/S0375-9474(98)00612-5.
3) Rearranging pionless effective field theory, By Silas R. Beane, Martin J. Savage. 10.1016/S0375-9474(01)01088-0.
4) Effective chiral Lagrangians for nucleon - pion interactions and nuclear forces, By Steven Weinberg. 10.1016/0550-3213(91)90231-L.
5) Effective field theory for dilute Fermi systems, By H.W. Hammer, R.J. Furnstahl. 10.1016/S0375-9474(00)00325-0.
6) Field redefinitions at finite density, By H.W. Hammer, R.J. Furnstahl, N. Tirfessa. 10.1016/S0375-9474(00)00687-4 .
7) The potential of effective field theory in NN scattering, S.R. Beane, T.D. Cohen, D.R. Phillips. 10.1016/S0375-9474(98)00007-4
Outline and lectures
Effective field theory (EFT) basics
General comments -- scale separation
Finite-range potentials
Nuclear and atomic scales
Non-relativistic field theory
Lagrangians and Hamiltonians
EFT strategy
Symmetries: Galilean invariance, etc.
Power counting
Two-body problem -- review
Scattering theory
Effective range theory (ERT)
NN system
Bound states
EFT description of two-body system
Regularization and renormalization
Fixed points of the renormalization group (RG)
Corrections and ERT
Comparison with other methods
Dibaryon/dimer formalism
External currents
Including long-range forces (the pion)
Perturbative pions (KSW expansion)
Non-perturbative pions (Weinberg expansion)
One-pion exchange potential
Singlet channel
Triplet channel - the deuteron
Interlude: singular potentials in quantum mechanics
Three-body system
General scaling of operators
Neutron-deuteron and He-dimer systems
Asymptotic integral equation
Spin-doublet (and three-boson) system and the limit cycle