112



 10

 F
 10-2
 A

 10-46 0


 10-6

 of.--.. De 2 1
 C4-

 8E
-'. '- -....-.. .....
' . .. .

10-10
 +. E2

 10-12


 10-14 E4 E3 -


 10-16
 10 ,


 10
 0 5 10 15 20 25 30 35 40
 1

Figure 4-1. Self-force of a scalar field in the Schwarzschild spacetime (by courtesy
 of Detweiler et al, 2003 [18])


 The self-force sel = 1.37844828(2) x 10-5 was obtained by summing

re [( + 1/2) A, + B, 2v2D,/(2f 1)(2f + 3)] over the range of our data

[18]. The remainder of the sum to i = oo was approximated by the contributions

of the E1, E%,... sums from 41 to oo after determining the E, coefficients [18].

Table 4-1 shows the contributions of each Ek to the self-force self. This result is

in agreement with that of Burko [29].