Thank you very much :) Your manuscript will be very useful for me.
Do I understand right that by introducing that cutoff factor is to maintain the Lorentz invarince manipulation? And it appears in this form because the asymptotic properties that it become 1 when the \Lambda goes to infinity?
Hi all, I have just started to study QFT myself with Srednicki's book but there are some points that aren't clear to me.
First, I search for the proof of the integral in eq. 14.27
\int \frac{d^{d}\bar{q}}{(2\pi)^d} \frac{(\bar{q}^2)^a}{(\bar{q}^2+D)^b} =...
I'm a beginner at differential geometry.
I have a problem about dual space. I understand why we use \left\{\frac{\partial}{\partial x^{\mu}}\right\} as the bases in vector space, but I have no idea why
we use \left\{ dx^{\mu} \right\} as the bases of dual space. What is the reason
of...
In Peskin's textbook, he uses the spin sum as \sum u\bar{u} = \gamma^{\mu}p_{\mu} +m ;
on the other hand, in Kaku's book and in Zee's book, they use \sum u\bar{u} = \dfrac{\gamma^{\mu} p_{\mu} + m}{2m} . But why aren't there any diffferent in the differential cross
section formula ?
I have a problem in deriving the formula :
\left \langle p^\prime | iT | p \right\rangle = -2\pi i\widetilde{ V}(q)\delta(E_{p^\prime}-E_{p})
which is in Peskin's QFT book. How to derive it?
Is there anything to do with \psi =...
In the mathematical text I've read, it says that \frac{e^{ikz}}{z^{2}+m^{2}} has only one simple pole, that is, im, if k>0 . Why?
Has it got 2 simple poles, I am and -im ?
I've seen the derivation of Dirac Equation using Inhomogeneous Lorentz Group in L H Ryder's QFT book.Can anybody give some comprehensible descriptions of this method?
Why must the ladder operators be
\sqrt{\dfrac{m\omega}{2\hbar}}(x+\dfrac{ip}{m\omega}) and
\sqrt{\dfrac{m\omega}{2\hbar}}(x-\dfrac{ip}{m\omega})?
What is the method that obtain them from schrodinger Equation?
And why we know that they are creation and anihilation operator?
THe question in "air pressure lesson".
When I was studying about the air pressure, my teacher showed some examples about them, that is, the water in an upside down glass with covered by a card always do not fall in gravity. Then the question followed. I asked my teacher "Why do the water fall...
I realized that, in EM wave, the intensity is proportional to the sqare of the fileds, and the fileds obey the wave eqation, then the intensity is proportional to the sqaure of the wave eqaution. And in electron matter wave, the probability density to find electron is proportional to the...