PPT Slide

1. Nonlinear Wave

Equations

2. Wave Maps

3. Yang-Mills

SO(N), SU(N)

4. Einstein Vacuum

Equations

NONLINEAR RELATIVISTIC FIELD THEORIES

? - V’(?) = 0, n = 3, V = ? p+1

?I + ?IJK (?) Q0(?J,?K ) = 0

?: IR n+1 M Riemannian

(M,g) R?? = 0

Lorentzian

= -?t2 + ?12 …+ ?n2 wave operator in R n+1

F?? = ?? A? - ? ? A?+ [ A ? , A? ]

D? F?? = 0