- #1

paralleltransport

- 131

- 96

- Homework Statement
- This is not a homework problem.

- Relevant Equations
- U is a matrix element of SU(N). dU is the haar measure (left invariant measure) on the SU(N) lie group.

Hello,

I would like help to clarify what det( {\delta \over \delta J}) W(J) (

Naively, one would define det ({\delta \over \delta J}) W(J) to be the determinant of the matrix whose i, j'th element is

δWδJijδWδJij

I would like help to clarify what det( {\delta \over \delta J}) W(J) (

**equation 15.79**) actually means, and why it returns a number (and not a matrix). This comes from the following problem statement (Kaku, Quantum Field Theory, a Modern Introduction)Naively, one would define det ({\delta \over \delta J}) W(J) to be the determinant of the matrix whose i, j'th element is

δWδJijδWδJij