Distributional zero-mass limit of renormalized Feynman amplitudes in Minkowski space

1985 ◽  
Vol 87 (1) ◽  
pp. 43-56 ◽  
Author(s):  
E. B. Manoukian
Keyword(s):  
Minkowski Space ◽  
Mass Limit ◽  
Zero Mass ◽  
Feynman Amplitudes

New approach to the singularities of Feynman amplitudes in the zero-mass limit

1976 ◽  
Vol 13 (6) ◽  
pp. 1573-1591 ◽  
Author(s):  
T. Kinoshita ◽  
A. Ukawa
Keyword(s):  
Mass Limit ◽  
New Approach ◽  
Zero Mass ◽  
Feynman Amplitudes

scholarly journals The Proca Field in Curved Spacetimes and its Zero Mass Limit

2018 ◽  
Vol 82 (2) ◽  
pp. 203-239
Author(s):  
Maximilian Schambach ◽  
Ko Sanders
Keyword(s):  
Mass Limit ◽  
Zero Mass ◽  
Proca Field ◽  
Curved Spacetimes

On the uniqueness of the smooth zero mass limit for invariant amplitudes

1974 ◽  
Vol 83 (1) ◽  
pp. 169-185
Author(s):  
B.H Kellett
Keyword(s):  
Mass Limit ◽  
Zero Mass

scholarly journals Do Small-Mass Neutrinos Participate in Gauge Transformations?

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Y. S. Kim ◽  
G. Q. Maguire ◽  
M. E. Noz
Keyword(s):  
Small Mass ◽  
Large Momentum ◽  
Mass Limit ◽  
Finite Mass ◽  
Gauge Invariant ◽  
Gauge Transformations ◽  
Zero Mass ◽  
Massive Neutrinos ◽  
Wigner’S Little Groups ◽  
Dirac Spinors

Neutrino oscillation experiments presently suggest that neutrinos have a small but finite mass. If neutrinos have mass, there should be a Lorentz frame in which they can be brought to rest. This paper discusses how Wigner’s little groups can be used to distinguish between massive and massless particles. We derive a representation of theSL(2,c)group which separates out the two sets of spinors: one set is gauge dependent and the other set is gauge invariant and represents polarized neutrinos. We show that a similar calculation can be done for the Dirac equation. In the large-momentum/zero-mass limit, the Dirac spinors can be separated into large and small components. The large components are gauge invariant, while the small components are not. These small components represent spin-1/2non-zero-mass particles. If we renormalize the large components, these gauge invariant spinors represent the polarization of neutrinos. Massive neutrinos cannot be invariant under gauge transformations.

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