115
v
m
2
2
O
T
,any real
(6.20)
Subsequently, the vector field Φ will form a nonzero functional value 〈Φ〉 ≠ 0,
which will simultaneously create the U(1) symmetrical electrostatic field. Therefore,
the local U(1) symmetrical phase of Φ(x) will not only just deliver the expected
value 〈Φ〉 but also confirm the x-dependent state of the symmetrical Φ(x) array to
confirm an electrostatic field. To determine this electrostatic force formation, the
polar coordinates of insulator tank have been clarified by implementing the vector
quantity and are expressed by the following equation:
)
)
)
)
4
x
x
x
x
i x
!
1
2
0
r
r
e
real
real
,
,
(6.21)
This field of static electricity force mechanism is induced when the vector
Φ(x) = 0, and thus the mechanism is used for the identification of 〈Φ〉 ≠ 0 as the
peak level of static force generation where it can be expected that the calculative
maximum value of this force is Φ〈x〉 ≠ 0 which is everywhere in the insulator tank.
In terms of the realistic static electricity fields ϕ r (x) and Θ(x), its vector quantitative
force on the radial field ϕ r on insulator tank has been calculated and is expressed by
the following equation:
V
v
I
O I
8
2
2
2
r
const,
(6.22)
or the expectant radial static electricity force is shifted by its VEV, Φ r (x) = v + σ(x):
I
V
V V
r
2
2
2
2
2
2
v
v
v
v
(6.23)
V
v
v
v
O
V V
O
V
O V
O V
8
2
2
2
8
2
2
2
2
3
4
(6.24)
Simultaneously, the functional derivative D μ ϕ will become
D
i qA
i
i qA
i
i
i
P
P
P
P
P
P
I
I
I
I I
I
w
w w
1
2
2
r
r
r
r
r
e
e
e
4
4
4
4
(6.25)
Design of PV Panel