scholarly journals Momentum-space representation of Green’s functions with modified dispersion on ultrastatic space-time

2007 ◽  
Vol 76 (10) ◽  
Author(s):  
Massimiliano Rinaldi
Keyword(s):  
Momentum Space ◽  
Green's Functions ◽  
Green’S Functions ◽  
Space Time ◽  
Space Representation

Green's functions of spinor field in conformally plane space?time

1985 ◽  
Vol 28 (4) ◽  
pp. 283-287 ◽  
Author(s):  
I. L. Buchbinder ◽  
L. I. Tsaregorodtsev
Keyword(s):  
Spinor Field ◽  
Green's Functions ◽  
Green’S Functions ◽  
Space Time ◽  
Plane Space

scholarly journals Analyticity of off-shell Green’s functions in superstring field theory

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Ritabrata Bhattacharya ◽  
Ratul Mahanta
Keyword(s):  
Field Theory ◽  
Momentum Space ◽  
Green's Functions ◽  
Green’S Functions ◽  
Lorentz Transformations ◽  
Point Function ◽  
Technical Issue ◽  
Bochner’S Theorem ◽  
Bochner's Theorem

Abstract We consider the off-shell momentum space Green’s functions in closed superstring field theory. Recently in [1], the off-shell Green’s functions — after explicitly removing contributions of massless states — have been shown to be analytic on a domain (to be called the LES domain) in complex external momenta variables. Analyticity of off-shell Green’s functions in local QFTs without massless states in the primitive domain is a well-known result. Using complex Lorentz transformations and Bochner’s theorem allow to extend the LES domain to a larger subset of the primitive domain. For the 2-, 3- and 4-point functions, the full primitive domain is recovered. For the 5-point function, we are not able to obtain the full primitive domain analytically, only a large part of it is recovered. While this problem arises also for higher-point functions, it is expected to be only a technical issue.

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