Theory of dynamics of entangled rod‐like polymers by use of a mean‐field Green function formulation. I. Transverse diffusion

1988 ◽  
Vol 89 (11) ◽  
pp. 6989-6995 ◽  
Author(s):  
Iwao Teraoka ◽  
Reinosuke Hayakawa
Keyword(s):  
Green Function ◽  
Mean Field ◽  
Transverse Diffusion ◽  
Function Formulation

Green function formulation of the Dirac field in curved space

1966 ◽  
Vol 294 (1439) ◽  
pp. 437-448 ◽  
Keyword(s):  
Green Function ◽  
Dirac Field ◽  
Green Functions ◽  
Field Equations ◽  
Curved Space ◽  
Particle Field ◽  
Function Formulation ◽  
Essential Idea ◽  
Mass Field

A Green function formulation of the Dirac field in curved space is considered in the cases where the mass is constant and where it is regarded as a direct particle field in the manner of Hoyle & Narlikar (1964 c ). This description is equivalent to, and in some ways more satisfactory than, that given in terms of a suitable Lagrangian, in which the Dirac or the mass field is regarded as independent of the geometry. The essential idea is to define the Dirac or the mass field in terms of certain Green functions and sources so that the field equations are satisfied identically, and then to obtain the contribution of these fields to the metric field equations from the variation of a suitable action that is defined in terms of the Green functions and sources.

Green function formulation of interactions of arbitrary fields

1969 ◽  
Vol 65 (3) ◽  
pp. 759-771
Author(s):  
Jamal N. Islam
Keyword(s):  
Gravitational Field ◽  
Green Function ◽  
Arbitrary Spin ◽  
Green Functions ◽  
Function Formulation

AbstractA Green function formulation of a system that describes the interaction of fields of arbitrary spin with the gravitational field andparticles is given. The Lagrangian considered is essentially the most general that admits of a description through Green functions.

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