Includes bibliographical references (unnumbered page 147-page 156) and index
The leading order behavior of the Coulomb gas -- Splitting the Hamiltonian -- Definition(s) and properties of renormalized energy -- Deriving w as the large n limit -- Deriving w as the large n limit: screening, upper bound, and consequences -- The Ginzburg-Landau functional: presentation and heuristics -- Main mathematical tools for Ginzburg-Landau -- The leading order behavior for Ginzburg-Landau -- The splitting and the next order behavior for Ginzburg-Landau