Today in the
#dailyPaperChallenge I read (parts of) "critical \( \phi^4_{3,\epsilon} \)" from 2002. This paper deals with the
#renormalization of a quartic interacting
#fieldTheory in 3 dimensions, but with a non-standard (long-range) propagator \(1/p^{\frac 3 2} \). The methods they use are quite different from what I am accustomed to, but there are two points of contact with my work: Firstly, this theory is an example of a marginally coupled \(\phi^4 \) theory with non-integer propagator power. The
#tropicalFieldTheory we are currently developing is also of that type. And secondly, the algebraic/combinatorial operations they use seem to fit nicely into a Hopf algebra description a la Connes-Kreimer (probably, someone has already worked that out in the 20 years since). Besides that, this paper also includes one section that is just a sequence of 24 lemmas, which would be more typical for Wittgenstein's tractatus than for a physics paper. What I also liked was that the paragraphs have individual titles, which makes the structure of arguments very easy to follow.
https://link.springer.com/article/10.1007/s00220-003-0895-4