scholarly journals Regularized calculation of the retarded Green function in a Schwarzschild spacetime

2019 ◽  
Vol 100 (10) ◽  
Author(s):  
Marc Casals ◽  
Brien C. Nolan ◽  
Adrian C. Ottewill ◽  
Barry Wardell
Keyword(s):  
Green Function ◽  
Schwarzschild Spacetime ◽  
Retarded Green Function

A Generalized Effective Interaction

1972 ◽  
Vol 27 (11) ◽  
pp. 1554-1558
Author(s):  
Hannes Bolterauer
Keyword(s):  
Green Function ◽  
Effective Interaction ◽  
Energy Operator ◽  
The Self ◽  
Self Energy ◽  
Retarded Green Function ◽  
Model Spaces ◽  
Definition Of

Abstract We discuss the possibility of neglecting poles of the effective interaction defined in a previous paper. In order to use model spaces which are not completely known we generalized the definition of the effective interaction considering as an example the self energy operator for the retarded Green-function.

scholarly journals From Green function to quantum field

2017 ◽  
Vol 14 (08) ◽  
pp. 1740007 ◽  
Author(s):  
Rafael D. Sorkin
Keyword(s):  
Scalar Field ◽  
Green Function ◽  
General Condition ◽  
Ground State ◽  
Wightman Function ◽  
Quantum Field ◽  
Causal Sets ◽  
Retarded Green Function ◽  
Spacetime Region ◽  
Zero Entropy

A pedagogical introduction to the theory of a Gaussian scalar field which shows firstly, how the whole theory is encapsulated in the Wightman function [Formula: see text] regarded abstractly as a two-index tensor on the vector space of (spacetime) field configurations, and secondly how one can arrive at [Formula: see text] starting from nothing but the retarded Green function [Formula: see text]. Conceiving the theory in this manner seems well suited to curved spacetimes and to causal sets. It makes it possible to provide a general spacetime region with a distinguished “vacuum” or “ground state”, and to recognize some interesting formal relationships, including a general condition on [Formula: see text] expressing zero-entropy or “purity”.

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