scholarly journals Functional integral over velocities for a spinning particle with and without anomalous magnetic moment in a constant electromagnetic field

1997 ◽  
Vol 30 (14) ◽  
pp. 5225-5238 ◽  
Author(s):  
Wellington da Cruz
Keyword(s):  
Electromagnetic Field ◽  
Magnetic Moment ◽  
Anomalous Magnetic Moment ◽  
Functional Integral ◽  
Spinning Particle ◽  
Constant Electromagnetic Field

Path integral for spinning particle subjected to the constant electromagnetic field

2015 ◽  
Vol 30 (25) ◽  
pp. 1550124
Author(s):  
A. Merdaci ◽  
N. Boudiaf ◽  
L. Chetouani
Keyword(s):  
Electromagnetic Field ◽  
Lorentz Transformation ◽  
Path Integral ◽  
Dirac Particle ◽  
Wave Functions ◽  
Integral Approach ◽  
Spinning Particle ◽  
Constant Electromagnetic Field ◽  
Special Cases ◽  
Electromagnetic Tensor

The problem of the Dirac particle submitted to a wave [Formula: see text] of a four-dimensional constant electromagnetic tensor is solved with the path integral approach via the use of Lorentz transformation and with an adequate choice for the velocity of the mobile referential.We show that the supersymmetric action associated to the pair [Formula: see text] can be determined from that associated to the pair [Formula: see text] and from that associated to the pair [Formula: see text] following simple relations.The wave functions and the energy spectrums are thus exactly determined and tested. Special cases are considered as well.

VERTEX FUNCTION OF VIRTUAL NEUTRINO AT SMALL MOMENTUM TRANSFERRED

2012 ◽  
Vol 27 (28) ◽  
pp. 1250167 ◽  
Author(s):  
A. A. DOBRYNINA ◽  
N. V. MIKHEEV ◽  
E. N. NARYNSKAYA
Keyword(s):  
Electromagnetic Field ◽  
Magnetic Moment ◽  
Vertex Function ◽  
Charged Lepton ◽  
W Boson ◽  
Energy Operator ◽  
Small Momentum ◽  
Neutrino Magnetic Moment ◽  
Self Energy ◽  
Constant Electromagnetic Field

The vertex function at the limit of small momentum transferred of a virtual massive neutrino in ξ-gauge is calculated via neutrino self-energy operator in a constant electromagnetic field. The expressions for neutrino magnetic moment under various relations between masses of neutrino, W-boson and charged lepton are presented.

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