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

[DMESONS]

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?

 

[Polyrhythmic]

Could you please give a reference regarding the publications you are talking about?

 

[DMESONS]

Could you please give a reference regarding the publications you are talking about?

Many refs. but for example;

http://arxiv.org/abs/1208.6568

 

[andrien]

two dimensional field theories are used to obtain some simplification .Examples of which are thirring model,two dimensional conformal field theory etc.A detail on first can be found in this book
http://books.google.co.in/books?id=UnPIZMRGGRYC&printsec=frontcover#v=onepage&q&f=false