Can 2D Systems Simplify Path Integrals in 4D Minkowski Space?

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The discussion centers on the potential of using 2D systems to simplify path integrals in 4D Minkowski space, particularly in the context of special relativity and quantum mechanics. It questions whether reducing the dimensionality from 4D to 2D can facilitate the evaluation of path integrals, such as correlation functions, by treating time and space as a combined (1,1) dimension. Recent publications, including those on two-dimensional field theories like the Thirring model and conformal field theory, are cited as examples of this approach. References to specific works, including an arXiv paper and a related book, are provided for further reading. The conversation highlights ongoing research in theoretical physics that seeks to bridge complex concepts through dimensional reduction.
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The combination of special relativity and quantum mechanics in a single framework makes our understanding of such systems to be true only in 4D, Minkowski space...I have noticed that recent published work concerning 2D systems and I am not sure about this reduction of 4D to only 2D, does it mean evaluating path integrals (e.g. correlation functions) by considering (1,1)=(time,space) in order to simplify the calucualtions?
 
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Could you please give a reference regarding the publications you are talking about?
 
Polyrhythmic said:
Could you please give a reference regarding the publications you are talking about?

Many refs. but for example;

http://arxiv.org/abs/1208.6568
 

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