We consider a scalar theory in a 1+D dimensional flat Minkowski space-time, with a general self-interaction potential, whose action can be written as A=∫dtdDx[12(∂tϕ)2−12(∂iϕ)2−U(ϕ)],
where ϕ is a real scalar field, ∂t=∂/∂t, ∂i=∂/∂xi and i=1,2,…,D. The equation of motion following from (???) is a non-linear wave equation (NLWE) which is given as −ϕ,tt+Δϕ=U′(ϕ)=ϕ+∞∑k=2gkϕk
where Δ=D∑i=1∂2∂x2i.
I just want to know the logic, that how they transformed the equation (1)
No comments:
Post a Comment