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A x i o n T h o u g h t s : A x i o n T h o u g h t s : i . e . w h a t w e / I d o n t y e t u n d e r s t a n d a b o u t Q C D A x i o n D M i . e . w h a t w e

  1. A x i o n T h o u g h t s : A x i o n T h o u g h t s : i . e . w h a t w e / I d o n ’ t y e t u n d e r s t a n d a b o u t Q C D A x i o n D M i . e . w h a t w e / I d o n ’ t y e t u n d e r s t a n d a b o u t Q C D A x i o n D M G i o v a n n i V i l l a d o r o G i o v a n n i V i l l a d o r o

  2. A x i o n S o l u t i o n t o t h e S t r o n g C P P r o b l e m ! A x i o n S o l u t i o n t o t h e S t r o n g C P P r o b l e m !

  3. A x i o n S o l u t i o n t o t h e S t r o n g C P P r o b l e m ! A x i o n S o l u t i o n t o t h e S t r o n g C P P r o b l e m ! P e c c e i Q u i n n ‘ 7 7 P e c c e i Q u i n n ‘ 7 7 We i n b e r g , Wi l c z e k ‘ 7 8 We i n b e r g , Wi l c z e k ‘ 7 8 ( K S V Z , D S F Z . . . ) ( K S V Z , D S F Z . . . )

  4. A x i o n S o l u t i o n t o t h e S t r o n g C P P r o b l e m ! A x i o n S o l u t i o n t o t h e S t r o n g C P P r o b l e m ! P e c c e i Q u i n n ‘ 7 7 P e c c e i Q u i n n ‘ 7 7 We i n b e r g , Wi l c z e k ‘ 7 8 We i n b e r g , Wi l c z e k ‘ 7 8 ( K S V Z , D S F Z . . . ) ( K S V Z , D S F Z . . . ) V a f a Wi t t e n ' 8 4 V a f a Wi t t e n ' 8 4

  5. A x i o n S o l u t i o n t o t h e S t r o n g C P P r o b l e m ! A x i o n S o l u t i o n t o t h e S t r o n g C P P r o b l e m ! P e c c e i Q u i n n ‘ 7 7 P e c c e i Q u i n n ‘ 7 7 We i n b e r g , Wi l c z e k ‘ 7 8 We i n b e r g , Wi l c z e k ‘ 7 8 ( K S V Z , D S F Z . . . ) ( K S V Z , D S F Z . . . ) V a f a Wi t t e n ' 8 4 V a f a Wi t t e n ' 8 4

  6. f r o m 1 8 0 1 . 0 8 1 2 7 I r a s t o r z a . R e d o n d o

  7. Q C D A x i o n Ma s s Q C D A x i o n Ma s s We i n b e r g ‘ 7 8

  8. 1 5 1 1 . 0 2 8 6 7 – G r i l l i d i C o r t o n a e t a l . 1 5 1 2 . 0 6 7 4 6 – B o n a t i e t a l . 1 6 0 6 . 0 7 4 9 4 – B o r s a n y i e t a l . 1 8 1 2 . 0 1 0 0 8 – G o r g h e t t o , G V

  9. 1 5 1 1 . 0 2 8 6 7 – G r i l l i d i C o r t o n a e t a l . 1 5 1 2 . 0 6 7 4 6 – B o n a t i e t a l . 1 6 0 6 . 0 7 4 9 4 – B o r s a n y i e t a l . 1 8 1 2 . 0 1 0 0 8 – G o r g h e t t o , G V

  10. 1 5 1 1 . 0 2 8 6 7 – G r i l l i d i C o r t o n a e t a l . 1 5 1 2 . 0 6 7 4 6 – B o n a t i e t a l . 1 6 0 6 . 0 7 4 9 4 – B o r s a n y i e t a l . 1 8 1 2 . 0 1 0 0 8 – G o r g h e t t o , G V

  11. A x i o n D M A b b o t t , D i n e , F i s c h l e r , A b b o t t , D i n e , F i s c h l e r , P r e s k i l l , S i k i v i e , Wi s e , P r e s k i l l , S i k i v i e , Wi s e , Wi l c z e k ‘ 8 3 Wi l c z e k ‘ 8 3

  12. S c e n a r i o I : n o P Q r e s t o r a t i o n a f t e r i n fm a t i o n S c e n a r i o I : n o P Q r e s t o r a t i o n a f t e r i n fm a t i o n a a x x

  13. S c e n a r i o I : n o P Q r e s t o r a t i o n a f t e r i n fm a t i o n S c e n a r i o I : n o P Q r e s t o r a t i o n a f t e r i n fm a t i o n – 1 – 1 H H a a x x ( w i t h i n H u b b l e ) ( w i t h i n H u b b l e ) a f t e r i n fm a t i o n a f t e r i n fm a t i o n

  14. S c e n a r i o I : S c e n a r i o I : ≫ Λ Q T C D

  15. S c e n a r i o I : S c e n a r i o I : ≫ Λ Q T C D

  16. F i n i t e T e m p e r a t u r e Q C D A x i o n Ma s s F i n i t e T e m p e r a t u r e Q C D A x i o n Ma s s 1 5 1 2 . 0 6 7 4 6 – B o n a t i e t a l . D I G A 1 6 0 6 . 0 7 4 9 4 – 1 8 0 7 . 0 7 9 5 4 B o r s a B o n a t i e t a l . n y i e t a l .

  17. F i n i t e T e m p e r a t u r e Q C D A x i o n Ma s s F i n i t e T e m p e r a t u r e Q C D A x i o n Ma s s 1 5 1 2 . 0 6 7 4 6 – B o n a t i e t a l . D I G A 1 6 0 6 . 0 7 4 9 4 – 1 8 0 7 . 0 7 9 5 4 B o r s a B o n a t i e t a l . n y i e t a l .

  18. A R B A D A C A R B A L a t t i c e O l d L a t t i c e O l d D I G A / L a t t i c e D I G A / L a t t i c e X A i c e e t t t i c L a a t / L A A / I G G U D I D Q ?

  19. S c e n a r i o I I : P Q r e s t o r a t i o n a f t e r i n fm a t i o n S c e n a r i o I I : P Q r e s t o r a t i o n a f t e r i n fm a t i o n n o f r e e p a r a m e t e r s f r o m i n t i a l c o n d i t i o n s a b u n d a n c e c a l c u l a b l e ! ( i n p r i n c i p l e )

  20. S c e n a r i o I I : P Q r e s t o r a t i o n a f t e r i n fm a t i o n S c e n a r i o I I : P Q r e s t o r a t i o n a f t e r i n fm a t i o n n o f r e e p a r a m e t e r s f r o m i n t i a l c o n d i t i o n s a b u n d a n c e c a l c u l a b l e ! ( i n p r i n c i p l e ) Mu l t i p l e c o n t r i b u t i o n s : Mu l t i p l e c o n t r i b u t i o n s : ε ( 0 ) ● m i s a l i g n m e n t ( 0 - m o d e )

  21. S c e n a r i o I I : P Q r e s t o r a t i o n a f t e r i n fm a t i o n S c e n a r i o I I : P Q r e s t o r a t i o n a f t e r i n fm a t i o n n o f r e e p a r a m e t e r s f r o m i n t i a l c o n d i t i o n s a b u n d a n c e c a l c u l a b l e ! ( i n p r i n c i p l e ) Mu l t i p l e c o n t r i b u t i o n s : Mu l t i p l e c o n t r i b u t i o n s : ε ( 0 ) ● m i s a l i g n m e n t ( 0 - m o d e ) ● m i s a l i g n m e n t ( k - m o d e s )

  22. S c e n a r i o I I : P Q r e s t o r a t i o n a f t e r i n fm a t i o n S c e n a r i o I I : P Q r e s t o r a t i o n a f t e r i n fm a t i o n n o f r e e p a r a m e t e r s f r o m i n t i a l c o n d i t i o n s a b u n d a n c e c a l c u l a b l e ! ( i n p r i n c i p l e ) Mu l t i p l e c o n t r i b u t i o n s : Mu l t i p l e c o n t r i b u t i o n s : ε ( 0 ) ● m i s a l i g n m e n t ( 0 - m o d e ) ● m i s a l i g n m e n t ( k - m o d e s ) ● t o p o l o g i c a l d e f e c t s ( s t r i n g s a n d d o m a i n w a l l s )

  23. A R B A D A C A R B A D I G A / L a t t i c e D I G A / L a t t i c e d O l l d i c e e O a t t t i c L a t L X A e t i c c e a t t t i / L a A / L G A U D I I G D Q ?

  24. P Q p h a s e t r a n s i t i o n P Q p h a s e t r a n s i t i o n H ≳ f s i m i l a r l y i f s i m i l a r l y i f a

  25. A x i o n i c S t r i n g s A x i o n i c S t r i n g s

  26. A x i o n i c S t r i n g s A x i o n i c S t r i n g s

  27. A x i o n i c S t r i n g s A x i o n i c S t r i n g s radial core

  28. A x i o n i c S t r i n g s A x i o n i c S t r i n g s radial axion core field

  29. A x i o n i c S t r i n g s A x i o n i c S t r i n g s radial axion core field

  30. f r e e s t r i n g s f r e e s t r i n g s - 1 H

  31. f r e e s t r i n g s f r e e s t r i n g s - 1 H

  32. s t r i n g r e c o m b i n a t i o n f r e e s t r i n g s s t r i n g r e c o m b i n a t i o n f r e e s t r i n g s - 1 H

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