Hunting the ghosts of a ‘strictly quantum field’: the Klein–Gordon equation

2010 ◽  
Vol 31 (6) ◽  
pp. 1499-1515 ◽  
Author(s):  
Eugenio Bertozzi
Keyword(s):  
Gordon Equation ◽  
Quantum Field ◽  
Klein Gordon ◽  
Klein Gordon Equation

IS THE MILNE COORDINATE SYSTEM A GOOD ONE?

1994 ◽  
Vol 09 (01) ◽  
pp. 19-27 ◽  
Author(s):  
R.C. ARCURI ◽  
B.F. SVAITER ◽  
N.F. SVAITER
Keyword(s):  
Field Theory ◽  
Coordinate System ◽  
Gordon Equation ◽  
Fock Space ◽  
Flat Space ◽  
The Other ◽  
Quantum Field ◽  
System A ◽  
Klein Gordon ◽  
Klein Gordon Equation

The upper and lower quadrants of flat space-time can be described using the Milne coordinate system. The Klein-Gordon equation of a scalar field in such a coordinate system admits at least two sets of solutions. Based on the Feynman propagator behavior it is shown that only one of the two sets gives the conventional interpretation of quantum field theory, based on a Fock space. Therefore, discarding the other set, one can still keep the Milne coordinate system.

scholarly journals Elko and mass dimension one field of spin one-half: Causality and Fermi statistics

2014 ◽  
Vol 23 (14) ◽  
pp. 1430026 ◽  
Author(s):  
Dharam Vir Ahluwalia ◽  
Alekha Chandra Nayak
Keyword(s):  
Gordon Equation ◽  
Quantum Field ◽  
Fermi Statistics ◽  
Mass Dimension ◽  
Klein Gordon ◽  
The Subject ◽  
Expansion Coefficients ◽  
Dimension One ◽  
Complex Valued ◽  
Klein Gordon Equation

We review how Elko arise as an extension of complex-valued four-component Majorana spinors. This is followed by a discussion that constrains certain elements of phase freedom. A proof is reviewed that unambiguously establishes that Elko, and for that matter the indicated Majorana spinors, cannot satisfy Dirac equation. They, however do, as they must, satisfy spinorial Klein–Gordon equation. We then introduce a quantum field with Elko as its expansion coefficients and show that it is causal, satisfies Fermi statistics, and then refer to the existing literature to remind that its mass dimension is one. We conclude by providing an up-to-date bibliography on the subject.

scholarly journals Fractional Klein-Gordon equation with singular mass

2021 ◽  
Vol 143 ◽  
pp. 110579
Author(s):  
Arshyn Altybay ◽  
Michael Ruzhansky ◽  
Mohammed Elamine Sebih ◽  
Niyaz Tokmagambetov
Keyword(s):  
Gordon Equation ◽  
Klein Gordon ◽  
Klein Gordon Equation
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