As already said, that's an approximation since you are not using the whole series. A more precise result using Mathematica is 2.1773189849653067526.
By the way, I made a typo, I meant \frac{1}{2}\sinh(2x) which solution is x=0
Thanks RGevo, I am aware that I have to take with care the polarization states, ghost term and so on, that's why i am asking for an example, doing this is tricky for me. I will take a look at those chapters you talk about.
Thanks again
I am sorry there is a typo, the second one is
q + \bar{q} \rightarrow g + g .
Thanks for the paper, I will look it into detail, Its not what i had in mind but it appears it has some comments about how calculating.
Thanks for your response. I just want to calculate them. The Peskin and Schroeder book proposes problems with the second and third examples I wrote.
I am aware of some of the things you said, but still I want to calculate them, I am asking for a detailed calculation already done or at least a...
\tanh(x) goes from zero to one, \cosh^2(x) blows up to infinity, the only solution is x=0.
Also, \tanh(x)\cosh^2(x) = \frac{1}{2}\sinh(x) and x = \frac{1}{2}\cosh(x) has no solution
If you want the numbers for which the equation holds, I think you may want (and have) to do it by plotting, or using some numeric method.
It has infinite solutions, the first one has be zero since you have \tan(0)=0, some solutions are
x = 3.36922, 6.3062, 9.4263, 12.5665, 15.708
I am trying to calculate differential cross-section for partonic collisions (QCD) like
q + q \rightarrow q +q
q + \bar{q}\rightarrow q + q
g + g \rightarrow g + g
I can't find those calculations done anywhere, just the results and maybe some middle tips, that's all. As you may know those...
Yes you are right andrien, i can't believe i didnt notice it myself, many thanks!, i was just considering it as a number for not clear reasons, thanks again.
Hello, Hi There
I am trying to obtain the relations of the conserved charges of the stress tensor, it has 4, one is the hamiltonian and the other three are the momentum components.
\vec{P}=-\int d^3y \sum_i{(-\pi_i(y) \nabla \phi_i(y))}
And i have to prove the conmutators...
Homework Statement
We start with a pure state at t=0 of an electron is
C e^{- a^2 x^2} \left(\begin{array}{c}
1\\
i
\end{array}\right)
Probability density of measuring momentun p_0 and third component of spin - \frac{\hbar}{2}
And probability of measuring a state with momentum...
You wrote ## \frac{1}{2}C V^2 ## without an equal sign, check in your notes what's that equal to.
That equation relates C, V with something that may be interesting for you