algebraic quantum field theory (perturbative, on curved spacetimes, homotopical)
quantum mechanical system, quantum probability
interacting field quantization
In Euclidean field theory a correlator is an expectation value of observables in a given state. For the product of local field observables this is also called an n-point function, see there for more.
Euclidean -point functions are typically distributions of several variables with singularities on the fat diagonal. Their restriction of distributions to the complement of the fat diagonal hence yields a non-singular distribution exhibiting the correlator as a differential form on a configuration space of points.
Under Wick rotation (if applicable, see Osterwalder-Schrader theorem) this translates correlators to n-point functions in relativistic field theory.
In functorial quantum field theory a correlator is simply the value of the functor on a given (class of) cobordisms.
See most any text on quantum field theory/statistical mechanics.
Discussion specifically of non-perturbative monopole correlators:
Last revised on May 27, 2022 at 10:52:38. See the history of this page for a list of all contributions to it.