TY - JOUR
T1 - Discrete phase space, relativistic quantum electrodynamics, and a non-singular Coulomb potential
AU - Das, Anadijiban
AU - Chatterjee, Rupak
AU - Yu, Ting
N1 - Publisher Copyright:
© 2020 World Scientific Publishing Company.
PY - 2020/8/10
Y1 - 2020/8/10
N2 - This paper deals with the relativistic, quantized electromagnetic and Dirac field equations in the arena of discrete phase space and continuous time. The mathematical formulation involves partial difference equations. In the consequent relativistic quantum electrodynamics, the corresponding Feynman diagrams and S#-matrix elements are derived. In the special case of electron-electron scattering (Møller scattering), the explicit second-order element fS(2)# i is deduced. Moreover, assuming the slow motions for two external electrons, the approximation of fS(2)# i yields a divergence-free Coulomb potential.
AB - This paper deals with the relativistic, quantized electromagnetic and Dirac field equations in the arena of discrete phase space and continuous time. The mathematical formulation involves partial difference equations. In the consequent relativistic quantum electrodynamics, the corresponding Feynman diagrams and S#-matrix elements are derived. In the special case of electron-electron scattering (Møller scattering), the explicit second-order element fS(2)# i is deduced. Moreover, assuming the slow motions for two external electrons, the approximation of fS(2)# i yields a divergence-free Coulomb potential.
KW - Discrete phase space
KW - divergence-free Coulomb potential
KW - partial difference equations
KW - quantum electrodynamics
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U2 - 10.1142/S0217732320501990
DO - 10.1142/S0217732320501990
M3 - Article
AN - SCOPUS:85090520792
SN - 0217-7323
VL - 35
JO - Modern Physics Letters A
JF - Modern Physics Letters A
IS - 24
M1 - 2050199
ER -