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0 votes
1 answer
124 views

The definition of the path integral

I still have big conceptual questions about the path integral. According to (24.6) of the book "QFT for the gifted amateur" from Lancaster & Blundell the path integral is equal to $$Z =\...
Frederic Thomas's user avatar
1 vote
0 answers
159 views

Connected part of $S$-matrix generating functional

I am currently studying an article by A.Jevicki et. al. (https://doi.org/10.1103/PhysRevD.37.1485) and I am a little confused. They say that the generating functional of the $S$-matrix is related to ...
DGeometry's user avatar
2 votes
0 answers
148 views

Physical meaning of $\langle 0|S(+\infty,-\infty)|0 \rangle$

when I am reading text book Introduction to Many body physics Piers Coleman 2nd editor, Equation (5.26). I got confused about the meaning of $\langle0|S(+\infty,-\infty)|0\rangle$. first problem $|...
Jian's user avatar
  • 1,113
13 votes
2 answers
3k views

Physical meaning of partition function in QFT

When we have the generating functional $Z$ for a scalar field \begin{equation} Z(J,J^{\dagger}) = \int{D\phi^{\dagger}D\phi \; \exp\left[{\int L+\phi^{\dagger}J(x)+J^{\dagger}(x)}\phi\right]}, \end{...
Orca's user avatar
  • 1,336