186
25 Breaking of Continuous Symmetries: Goldstone’s Theorem
lim
k→0
F a (k
2
, k 0 )(( G (k, k 0 ), B OC 0 ) ,
where G (k, k 0 ) denotes the improper Goldstone state of momentum (k, k 0 ) and
F a (k
2
, k 0 ) = i (2π)
3/2 lim
k→0
( j
a
0 0 , , G (k, k 0 )) .
In the relativistic case, the corrections to (B 0 , δ
a O C 0 ) reduce to the following
simple form
F a (0) lim
k→0
(( G (k, k 0 ), B OC 0 ).
25 Breaking of Continuous Symmetries: Goldstone’s Theorem
lim
k→0
F a (k
2
, k 0 )(( G (k, k 0 ), B OC 0 ) ,
where G (k, k 0 ) denotes the improper Goldstone state of momentum (k, k 0 ) and
F a (k
2
, k 0 ) = i (2π)
3/2 lim
k→0
( j
a
0 0 , , G (k, k 0 )) .
In the relativistic case, the corrections to (B 0 , δ
a O C 0 ) reduce to the following
simple form
F a (0) lim
k→0
(( G (k, k 0 ), B OC 0 ).