- #1
eljose
- 492
- 0
we know that the functional integrals are important in quantum field theory,but we have the problem that except for the semiclassical approach,they can not be solved anyway..but if we used the formula:.
[tex]\int{d[\phi]F[\phi]=\sum_{n=1}^{\infty}(-1)^{n}\phi^n{D^{n}F[\phi]} [/tex]
where D is the functional derivative [tex] D=\delta/\delta{\phi}[/tex]
this is the Bernoulli formula for the functional ,we could obtain an approach to the functional integral,wher [tex]\phi=\int{\phi}d^4x[/tex]
[tex]\int{d[\phi]F[\phi]=\sum_{n=1}^{\infty}(-1)^{n}\phi^n{D^{n}F[\phi]} [/tex]
where D is the functional derivative [tex] D=\delta/\delta{\phi}[/tex]
this is the Bernoulli formula for the functional ,we could obtain an approach to the functional integral,wher [tex]\phi=\int{\phi}d^4x[/tex]
Last edited: