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, I’m joining from Turkey and I’m 28 years old. I discovered my interest in science through a YouTube video (@Veritasium) , and everything I’ve learned since then excites me so much that I feel like a child wanting to share every new piece of knowledge with those around me. Although I don’t yet have full mastery of mathematical formulas or physical laws, my passion for learning constantly drives me to explore and understand more. No matter how complex the world of science may be, my...
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