What are the latest developments in discrete Quantum Field Theories?

Skoceko
I have been interested in physics for a very long time. Initially in high school celestial mechanics and soon afterwards quantum mechanics. During my chemistry studies I specialized in quantum chemistry at the end of my bachelor and continued to do a Bachelor and Master in pure Mathematics, with a specialization in stochastics and PDE (especially Schrödinger Operators).

Recently I started to look into Quantum Field Theories and my questions will be mostly around that topic. I started writing in math style a "book" (see my github) about a discrete version of Quantum electrodynamics in 2d. I could not find many good sources so maybe much of my work is already published, also I write in german.
 
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Hello everyone, I was advised to join this community while seeking guidance on how to navigate the academic world as an independent researcher. My name is Omar, and I'm based in Groningen The Netherlands. My formal physics education ended after high school, but I have dedicated the last several years to developing a theoretical framework from first principles. My work focuses on a topological field theory (which I call Swirl-String Theory) that models particles as knotted vortex...
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