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1 answer
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Calculating a Feynman diagram with the helicity basis

In the book by Peskin and Schroeder, they calculate the leading order diagram for the process $e^- e^+ \to \mu^- \mu^+$ (see page 136 for the labelling of the momenta). They do this in two ways: using ...
Jesse's user avatar
  • 291
1 vote
1 answer
107 views

Feynman rule for scalar QED vertex

A popular problem in QFT textbooks and courses is to derive the Feynman rules for scalar QED. Usually, this theory is presented via the following Lagrangian density: $$\mathcal{L} = (D_\mu\phi)^\...
Rafael Grossi's user avatar
0 votes
0 answers
68 views

Feynman diagrams in Yukawa interaction

I want to understand drawing Feynman Diagrams better, therefore I wanted to draw some for the Lagrangian with a Yukawa interaction term: $$L = \bar{\psi}(i \partial\!\!\!/ - m)\psi - g \bar{\psi}\phi \...
WoistdasNiveau's user avatar
2 votes
1 answer
71 views

Why is $F_1(0) = 1$? (form factor in QED)

In section 6.2 in Peskin and Schroeder (P&S) on vertex corrections, it is shown (eq 6.34) that the physical charge of the electron is given by $eF_1(0)$ (as shown by comparing the nonrelativistic ...
User3141's user avatar
  • 863
3 votes
0 answers
94 views

What is a correlation function of renormalized currents in QED?

The correlation function $$ \langle\beta|\mathcal{T}J(x_1)\cdots J(x_n)|\alpha\rangle,\tag{1} $$ where $J^\mu=e\bar{\psi}\gamma^\mu\psi$ is the QED current, is usually interpreted as the diagram of ...
Youjack's user avatar
  • 41
2 votes
1 answer
95 views

A question on IR divergence in Peskin-Schroeder chapter 6

In equation 6.64 of Peskin Schroeder, it computes $f_{\text{IR}}(q^2)$ in the limit $-q^2\to\infty$. Now, if we try to simplify the integral: \begin{align} f_{\text{IR}}(q^2) &=\int_0^1d\xi\;\frac{...
Soumyajit Datta's user avatar
3 votes
2 answers
129 views

Some integrals in QED Renormalisation

I am currently leaning the renormalisation of QED and I have met some tricky integral that seems unsolvable. The integrals are shown in Quantum Field Theory and the Standard Model by Schwartz, page ...
quantumology's user avatar
3 votes
1 answer
92 views

How can I count diagrams (in this scalar QED example) at a particular order without drawing all the Feynman diagrams?

Here's a 3-loop diagram for light-by-light scattering in scalar QED (from Schwartz textbook question 9.2): The question 9.2 asks approximately how many other diagrams contribute at the same order in ...
IGY's user avatar
  • 1,783
0 votes
1 answer
68 views

Feynman rule: proton-proton-photon versus electron-electron-photon QED vertex

If the Feynman rule for the vertex is written as $$-ieQ\gamma^\mu$$ ($e>0$, charge of positron, $Q$ is the charge of the interacting particle in units of $e$), the electron-electron-photon QED ...
Solidification's user avatar
0 votes
1 answer
424 views

Is Feynman's Compton scattering diagram the same as the one in most books?

Feynman used the following Compton scattering diagram: Whereas most books use this diagram in their derivation: Is there a way to relate the two? Feynman's diagram makes more sense to me ...
JBatswani's user avatar
  • 187
1 vote
0 answers
72 views

Confusion about the dressed propagator

When considering interactions, the free propagator $S_0(p)$ of fermions for example gets "dressed" due to the self-energy of the fermion. The complete propagator then becomes $$ S(p)=\frac{/\...
Ozzy's user avatar
  • 172
0 votes
0 answers
64 views

Interpreting Feynman diagram of Coulomb scattering of positron

I am trying to understand Coulomb positron scattering. This course explains that: Here the incoming state is in the future and is to be interpreted as a negative-energy electron of four-momentum $-...
Anthill's user avatar
  • 132
2 votes
1 answer
154 views

Deriving Feynman rules for scalar QED

I am a bit confused about Matthew D. Schwartz's statement of the Feynman rules in scalar QED (chapter 9, section 9.2 titled Feynman rules for scalar QED. The Lagrangian is \begin{equation} \mathcal{L} ...
QFTheorist's user avatar
3 votes
1 answer
273 views

Are QED Feynman diagrams readable in any order?

I have somewhat of a basic question regarding QED Feynman diagrams. To expose my doubts let's take the Feynman diagram of the Compton scattering (at the second order) as an example: With the solid ...
Noumeno's user avatar
  • 4,577
0 votes
1 answer
40 views

Energy Conservation in Pair Annihilation and Feynman-Stuckelberg Interpretation

The textbook "Modern Particle Physics" by Mark Thomson on p. (98) reads: In the left plot, an electron of energy $E$ emit a photon with energy $2E$ and, to conserve energy, produces an ...
Samama Fahim's user avatar

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