I have a question related to the Lorentz invariance.
(on the book of Mark Srednicki Quantum Field Theory, page 35 prob. 2.9 c)
There are representations of [itex]\Lambda[/itex] and S.
In order to show that result of problem, I use number of two ways.
1. I expanded [itex]\Lambda[/itex] to infinitesimal form using Taylor expansion.
2. Just original shape of exponential form.
When I inserted values of S^12, the first method gives me that the value is 0.(by specific element, that is rho = 0, tau =1) But the second method gives me that the value is 1.
The correct answer is 0. because most of components are 0 except for middle row and middle column(2x2). I can't understand this discrepancy. Please explain this error.
(Sorry about that I can't use Latex. because I'm a novice of this web site..)
(on the book of Mark Srednicki Quantum Field Theory, page 35 prob. 2.9 c)
There are representations of [itex]\Lambda[/itex] and S.
In order to show that result of problem, I use number of two ways.
1. I expanded [itex]\Lambda[/itex] to infinitesimal form using Taylor expansion.
2. Just original shape of exponential form.
When I inserted values of S^12, the first method gives me that the value is 0.(by specific element, that is rho = 0, tau =1) But the second method gives me that the value is 1.
The correct answer is 0. because most of components are 0 except for middle row and middle column(2x2). I can't understand this discrepancy. Please explain this error.
(Sorry about that I can't use Latex. because I'm a novice of this web site..)
0 commentaires:
Enregistrer un commentaire