just got my first crackpot mail from someone who wants to disprove Einstein. Guess I'm a real physicist now 🥰
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New blog post: How to integrate out a particle
Let's suppose we are not interested in the interactions of one specific particle in a QFT. We can "integrate it out" - i.e. we build a new theory that lacks this particle, but that implicitly includes the effects of the missing particle such as loop terms or mediated interactions.
For me, it was pretty surprising how beautifully this turns out in terms of Feynman diagrams when you do it systematically, so I made a blog post about it.
https://ash64.eu/blog/2024/integrating-out-particles.pdf
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New blog post: Salvaging the useful parts from the cult - a 2-year review of geometric algebra
In this post, I argue that a lot of the advantageous didactical techniques of geometric algebra are not exclusive to Clifford algebras, and that we are mostly better off reformulating them in classical maths and dropping the "geometric algebra" banner.
https://ash64.eu/assets/ga_review.pdf
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The "beautiful coordinate-free description" people are the Arch Linux users of theoretical physics
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