PPT Slide
? - V’(?) = 0, n=3, V = ? p+1
Subcritical p < 5
Critical p = 5
Supercritical p > 5
NONLINEAR RELATIVISTIC FIELD THEORIES
E = (|? t ?(t,x)|2 + ? i| ? i ? (t,x)| 2 + 2?p+1 (t,x)|)dx
Scaling
x0= t, x1, …, xn L
? L-2/(p-1)
E Ln-2 -4/(p-1)
n-2-4/(p-1) = 0 corresponds to critical p