I encounter a function that I don‘t know in the calculation of Relativistically invariant 2-body phase space integral:
in this equation, ##s##is the square of total energy of the system in the center-of-mass frame(I think)
I don't know what the function ##\lambda^{\frac{1}{2}}## is.
There are...
This question arise when I try to understand the equation (4.68) :
In order to understand the factor ##e^{-i\mathbf{b}\cdot \mathbf{k}_B}##:
I use the so-called "spatial wavefunction":
if$$\phi _B(\mathbf{k}_B)=\int{d^3\mathbf{x}}\phi _B(\mathbf{x})e^{-i\mathbf{k}_B\cdot \mathbf{x}}$$...
My understanding is:
$$\phi (\mathbf{k})=\int{d^3}\mathbf{x}\phi (\mathbf{x})e^{-i\mathbf{k}\cdot \mathbf{x}}$$
But what is ##\phi (\mathbf{x})## in Qft?
In quantum mechanics,
$$|\phi \rangle =\int{d^3}\mathbf{x}\phi (\mathbf{x})\left| \mathbf{x} \right> =\int{d^3}\mathbf{k}\phi...
I have found a great answer:
Prahar (https://physics.stackexchange.com/users/8821/prahar), Time ordering of integral, URL (version: 2022-12-17): https://physics.stackexchange.com/q/741494
$$T\int_{t_0}^t{d}t_1\cdots dt_nH_I\left( t_1 \right) \cdots H_I\left( t_n \right)$$
is defined to equal to...
In Peskin P85:
It says the Time-ordered exponential is just a notation,in my understanding, it means
$$\begin{aligned}
&T\left\{ \exp \left[ -i\int_{t_0}^t{d}t^{\prime}H_I\left( t^{\prime} \right) \right] \right\}\\
&\ne T\left\{ 1+(-i)\int_{t_0}^t{d}t_1H_I\left( t_1 \right)...