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

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DMESONS
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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?