scholarly journals Integral representation for space-time excessive functions

2019 ◽  
Author(s):  
Klaus Janssen
Keyword(s):  
Integral Representation ◽  
Space Time ◽  
Excessive Functions

Harmonic and excessive functions of a space-time process. II

1982 ◽  
Vol 22 (1) ◽  
pp. 29-36
Author(s):  
V. Gaigalaitė
Keyword(s):  
Space Time ◽  
Time Process ◽  
Excessive Functions

Harmonic and excessive functions of a space-time process. III

1982 ◽  
Vol 22 (2) ◽  
pp. 124-128
Author(s):  
V. Gaigalaitė
Keyword(s):  
Space Time ◽  
Time Process ◽  
Excessive Functions

scholarly journals Propagators of the Dirac fermions on spatially flat FLRW space–times

2019 ◽  
Vol 34 (05) ◽  
pp. 1950024 ◽  
Author(s):  
Ion I. Cotăescu
Keyword(s):  
Integral Representation ◽  
Flat Space ◽  
Space Time ◽  
Integral Representations ◽  
Dirac Fermions ◽  
De Sitter ◽  
3 Dimensional ◽  
Left Handed ◽  
New Type ◽  
Change Of Variable

The general formalism of the free Dirac fermions on spatially flat (1[Formula: see text]+[Formula: see text]3)-dimensional Friedmann-Lemaître–Robertson–Walker (FLRW) space–times is developed in momentum representation. The mode expansions in terms of the fundamental spinors satisfying the charge conjugation and normalization conditions are used for deriving the structure of the anticommutator matrix-functions and, implicitly, of the retarded, advanced, and Feynman fermion propagators. The principal result is that the new type of integral representation we proposed recently in the de Sitter case can be applied to the Dirac fermions in any spatially flat FLRW geometry. Moreover, the Dirac equation of the left-handed massless fermions can be analytically solved finding a general spinor solution and deriving the integral representations of the neutrino propagators. It is shown that in the Minkowski flat space–time our new integral representation is up to a change of variable just like the usual Fourier representation of the fermion propagators. The form of the Feynman propagator of the massive fermions on a spatially flat FLRW space–time with a scale factor of Milne-type is also outlined.

Harmonic and excessive functions of a space-time process. I

1981 ◽  
Vol 21 (4) ◽  
pp. 289-297
Author(s):  
V. Gaigalaitė
Keyword(s):  
Space Time ◽  
Time Process ◽  
Excessive Functions

Space, Time and Einstein

2002 ◽  
Author(s):  
J. B. Kennedy
Keyword(s):  
Space Time
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