Green function for bilocal operatos?

[Neitrino]

Dear PF,

Could you tell me what is Green function for bilocal operators? As I understand from its form G(x1y1, x2y2,...)... now the pairs of XY are considered as points instead of single X points as in normal Green function
G(x1,x2,x3...). So What do we need it for? Or can it be decomposed into sums/products of ordinary Greens functions? Or where to read about it?

Thks

 

[nbo10]

I've never heard of bilocal operators before, it could just be a difference in terminology. Are you talking about retarded and advanced Greens functions? A greens function can take any number of parameters, normally it's a vector and a time component.

 

[denian]

,

The Green function for bilocal operators is a mathematical concept used in quantum field theory to solve equations involving multiple points or locations. It is essentially a generalization of the traditional Green function, which is used to solve equations involving a single point. In the context of quantum field theory, the bilocal operator refers to an operator that acts on two different points or locations in space and time.

The purpose of the Green function for bilocal operators is to provide a solution to equations involving multiple points, which cannot be solved using traditional Green functions. It allows for the calculation of correlation functions and other important quantities in quantum field theory.

The Green function for bilocal operators can be decomposed into sums or products of ordinary Green functions, depending on the specific equation being solved. It is a powerful tool in quantum field theory and has applications in various areas of physics.

If you are interested in learning more about the Green function for bilocal operators, I recommend reading textbooks or articles on quantum field theory or consulting with a specialist in the field. I hope this helps answer your question.