Hi masqau,
can you explain me the procedure that i found in your first link
http://eqworld.ipmnet.ru/en/solutions/ode/ode0234.pdf
"Selecting a sufficiently large m and omitting the term with the maximum number in the recurrence relations we can obtain approximate relations for the...
I'm studying Cosmology and i believe that this potential is like that of Hydrodynamics theory since we consider a perfect fluid to approximate the matter in the universe...
hamiltonian density (interaction part)
\mathscr{H}_{int}=eA^\mu j_\mu
two point function
<0| T(\phi_1\phi_2) |0> =<0| \phi_1 \phi_2 \text{exp} \left[-i \int d^4 x \mathscr{H}_{int} \right] |0>_{connected}
four point function
<0|T(\phi_1\phi_2 \phi_3 \phi_4) |0>=<0| \phi_1 \phi_2...
The generating functional Z[J] depends on \phi_{cl} trough its dependence on J. At the lowest order in perturbation theory the relation between J(x) and \phi_{cl} is just the classical field equation:
\left(\frac{\delta L}{\delta \phi}\right)_{\phi=\phi_{cl}} + J(x) = 0
The question is...