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The Science of Everything Podcast

Episode 159: Quantum Electrodynamics Part 2

The Science of Everything Podcast

James Fodor

Social Sciences, Natural Sciences, Science

4.8819 Ratings

🗓️ 1 April 2026

⏱️ 45 minutes

🧾️ Download transcript

Summary

Continuing from quantum electrodynamics part 1, here we explore the mathematical machinery used to compute interactions between particles, including propagators, Feynman diagrams, cross sections. We then walk through a simple example calculation to illustrate how these tools are applied. I conclude with an introduction to the problem of divergent loop integrals and how these can be resolved using renormalisation. Recommended pre-listening is Episode 158: Quantum Electrodynamics Part 1.  If you enjoyed the podcast please consider supporting the show by making a PayPal donation or becoming a Patreon supporter. https://www.patreon.com/jamesfodor https://www.paypal.me/ScienceofEverything

Transcript

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0:00.0

Oh, wow, oh, oh, whoa, oh, wow.

0:13.0

Oh, wow.

0:15.0

Oh, wow. Hello, you're listening to The Science of Everything podcast, episode 159,

0:38.3

Quantum Electro Dynamics Part 2. I'm your host, James Fodor. In this episode, we are continuing

0:45.3

quantum electrodynamics, as the name indicates, and we're picking up straight from where we left off

0:51.0

last time, so please do listen to that episode before we listen to this one.

0:55.0

Otherwise, it's not going to make very much sense. I will very briefly recap what we discussed then.

1:00.0

I talked about how quantum electrodynamics is the first of the quantum field theories,

1:07.0

and it's an attempt to generalize the Schroenger equation to applying to cases where

1:13.8

special relativity is important, so very like high velocities. And to do that, we need to make a

1:21.1

variety of, essentially modifications to the Schroenger equation to produce first, we talked about

1:26.0

the Klein-Gordon equation, and then I talked about the Dirac equation and the gamma matrices

1:31.5

and the complicated algebra that that introduces as we need to deal with electron spin.

1:37.6

I then talked about the S matrix and perturbation theory,

1:41.4

which is essentially a way that we are able to describe the

1:45.0

interactions between particles in quantum field theory, particularly like electrons and photons.

1:51.0

The Dirac equation describes the free propagation of electrons, and the Klein-Gordon equation,

1:59.0

or a modification of the Klein-Gorn equation describes the free propagation of photons.

2:03.6

But when we want to describe the interaction of both of those, we need to use the S-matrix and perturbation theory.

2:08.6

And there's a long series of complicated approximations that needs to be made there.

2:13.6

And we talked about Wix theorem and propagators.

2:16.6

We finished up just leading up to introducing the approximations that are needed to actually

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