Topics in Statistic Mechanics

Adv. Sta. Phy. Homework 7 Renormalization Group Li,Zimeng PB06203182
because its Hamiltonian is with contained.We'll return to
Gauss Model if we set u=0.
We set the coordinate in the above equation to a continuous state, where we would set
and the coefficient unity.
So we get , here the field term is added.
Changing it to momentum space by FT method, with previous work done on Gauss
model (see (1.2.2)), we only have to deal with the term
Therefore effective Hamiltonian without outfield in momentum space is (see (1.2.2))
(2.1.1)
where