I am reading through 'An Introduction to QFT' by Peskin & Schroeder and I am struggling to follow one of the computations.
I follow writing the field \phi in Fourier space
ϕ(x,t)=∫(d^3 p)/(2π)^3 e^(ip∙x)ϕ(p,t)
And the writing the operators \phi(x) and pi(x) as
ϕ(x)=∫(d^3 p)/(2π)^3...
Homework Statement
Use the operator expansion theorem to show that
Exp(A+B) = Exp(A)\astExp(B)\astExp(-1/2[A,B]) (1)
when [A,B] = \lambda and \lambda is complex. Relationship (1) is a special case of the Baker-Hausdorff theorem.
Homework Equations
Operator expansion theorem...
I know this should be easy and the answer will be glaringly obvious in hindsight but my brain is fried and I can't for the life of me figure this out. My problem is this I have a function as follows;
V = \sum\lambdai,j,k hihjhk (summation over i,j,k where i,j,k = 1,2,3)
I can't work...
Homework Statement
If D =7 and the metric g\mu\nu=diag(+------), Using the outer product of matrices, A \otimes B construct a suitable set of \gamma matrices from the 2 x 2 \sigma-matrices
Homework Equations
\sigma1=(0, 1 ) \sigma2=(0, -i)...
ok this confirms my thoughts that the two aren't equal this is a particle physics problem but i though the issue was my algebra but the issue must be with my physics!