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By Jeremy Bernstein

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T h e CPT c o n d i t i o n , w i t h a a n d b t w o s p i n - i p a r t i c l e s , i s c l e a r l y 15. I n t h e r e p r e s e n t a t i o n i n w h i c h t h e 7 ' s a r e H e r m i t i a n a n d 7 2 , y , a r e r e a l a n d 7 1 , 7 3 a r e p u r e i m a g i n a r y , / = 7173. , ^• 16. R e c a l l t h a t t h e p h a s e s o f 7r+ a n d TT" h a v e a l r e a d y b e e n fixed t o m a m t a m t h e T m v a n a n c e of the electromagnetic coupling. 17. W i t h t h e m a c h i n e r y a s s e m b l e d t h e r e a d e r w i l l h a v e n o t r o u b l e i n s e e i n g t h a t £0, t h e t r e e Lagrangian, is T-invariant.

54) A c h o i c e o f p h a s e s t h a t assures t h e c o r r e c t t r a n s f o r m a t i o n p r o p e r t y i s w h e r e TJT i s a n a r b i t r a r y p h a s e . 44) T4>2(r,t)T-^ = H r , - t ) , or, i n t h e language o f the charged pions, where O p stands for t h e complicated creation operator given above. W e readily s h o w ( u s i n g t h e s a m e t e c h n i q u e s as i n t h e p a r i t y case) t h a t [ 7 ; / / ] _ = 0, , x , ;,„•;, . 47) {PaE(Pa)\0\piE(pi)} = r,*T,7,Tl,{-PaE(Pa)\TOT-^-p,E(p,)}*.

20. I n t h i s e x p r e s s i o n t h e r e i s a t r i v i a l i n f i n i t y s i n c e i t i n v o l v e s S \ 0 ) . W e h a v e s e t 5 ' ( 0 ) = 1 . T h i s p r o c e d u r e c a n b e a v o i d e d , o r r i g o r i z e d , b y u s i n g a finite s p a c e v o l u m e f o r t h e q u a n t i z a t i o n . g-2- 2MO 21. H/2). T h e next t e r m is t h e internal p h o t o n l i n e _ i _ .

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