Fourth-order self-energy of a neutron star due to massive neutrino exchange

2001 ◽  
Vol 63 (6) ◽  
Author(s):  
Brian Woodahl ◽  
Ephraim Fischbach
2018 ◽  
Vol 97 (2) ◽  
Author(s):  
Zhi Wei Liu ◽  
Zhuang Qian ◽  
Ruo Yu Xing ◽  
Jia Rui Niu ◽  
Bao Yuan Sun

1998 ◽  
Vol 57 (3) ◽  
pp. 1548-1564 ◽  
Author(s):  
S. Mallampalli ◽  
J. Sapirstein

Schwinger’s equations for the propagation functions of quantum electrodynamics are redefined in a way to give the finite (renormalized) propagation functions without reference to divergent integrals or infinite renormalization constants. This is achieved by incorporating in the equations themselves a limiting process which is an extension of that introduced by Dirac and Heisenberg. The formulation is given independently of the power-series expansion, but the cancellation of singularities is established only in terms of such an expansion. The method is illustrated first by considering the lowest-order approximations. The lowestorder electron self-energy and vertex-part expressions are worked out, and the compensation of the singularities corresponding to the ‘ b ’ divergences is indicated in the fourth order. In the power-series expansion, the prescriptions are in a one-to-one correspondence to those of Dyson. Their formulation independently of this expansion sums up the rules obtained in the different approximations.


1973 ◽  
Vol 16 (2) ◽  
pp. 201-212 ◽  
Author(s):  
Elizabeth Carrow ◽  
Michael Mauldin

As a general index of language development, the recall of first through fourth order approximations to English was examined in four, five, six, and seven year olds and adults. Data suggested that recall improved with age, and increases in approximation to English were accompanied by increases in recall for six and seven year olds and adults. Recall improved for four and five year olds through the third order but declined at the fourth. The latter finding was attributed to deficits in semantic structures and memory processes in four and five year olds. The former finding was interpreted as an index of the development of general linguistic processes.


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