EW preheating & primordial magnetic fields

Transcription

1 EW preheaing & primordial magneic fields CFT&S, Cambridge UK 3-6h July 006 Juan García-Bellido Física Teórica UAM 6h July 006

2 Kofman, Linde, Sarobinsy PRL73, PRD56, Khlebniov, Tachev PRL77, PRD79,

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4 lie maer m H & & & m sin Φ 0 Φ Φ + Φ m m m p m m m m sin cos sin cos ρ 3 3 Φ Φ a m n a ~ ~ ~ ρ Inflaon oscillaing a end of inflaion

5 Inflaon coupled o res of he universe L ψ iγ µ µ + m m ψ ψ χ hψψ g m && + 3H & + m + Π w χ χ χ 0 + ξχ g R vχ ImΠm m Γ opical & + 3H & + Γ & + m heorem 0 phenom. Φ Γ 0 d e sin m a d ρ 3 3 a Γ ρ

6 Perurbaive decay of inflaon Γ + Γ Γ i i i i i i ψ ψ χ χ m v g i i i π χ χ 8 4 Γ π ψ ψ 8 h i m i i Γ << + << Γ m v g h h m m h i i eff eff, π χ χ v g ψ ψ h

7 Perurbaive reheaing Γ << 3H inflaon lifeime << m iniially Γ H << U age universe H Γ ρ reh 3Γ M 8π P π 30 g T reh T 4 reh T reh 0. Γ M 0 h GeV P 4 eff 0 GeV Γ grav m 3 ~ T reh M P ~ 0 GeV

8 Non-perurbaive decay of inflaon χ χ χ χ m H + + Π g m m χ χ + [ ] field quanum.. ˆ, ˆ / c h e a f d x x i + rr r r 3 3 π χ [ ] [ ] ˆ, ˆ, ˆ,, ˆ a a x x i x x Π + r r r r h r r r r 3 3 δ δ χ χ dep. ime, m f f 0 χ ω ω + + && Wronsian Re, g f if g & free

9 Paricle producion a la Schwinger Time-dependen poenial in sudden approximaion ψ n ψ 0

10 Occupaion number of field n d N V n π + g f n ω ω equaion Mahieu 0 + f z q A f cos 4 m g q q m m A, Φ + + χ >> m m e n z p e f µ µ ~ soluion χ

11 Band srucure µ

12 Narrow resonance

13 Broad resonance

14 Broad resonance

15 Expanding universe desrucive inerference

16 Laice simulaions n Large occupaion numbers classical fields equipariion n ~ T eff

17 Preheaing Very rich phenomenology afer inflaion Non-hermal producion of paricles CDM Producion of opological defecs EW baryogenesis & lepogenesis Producion of graviaional waves Producion of primordial magneic fields ec.

18 Hybrid Inflaion V, χ U χ

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20 χ U Sring end inflaion How many Infinie srings?

21 JGB, Linde PRD57, Felder, JGB, Kofman, Linde, Tachev JGB, Garcia-Perez, Gonzalez-Arroyo PRL87, PRD64, PRD67,

22 Tachyonic preheaing Spinodal growh of long wave Higgs modes A he end of Hybrid Inflaion Higgs couples o gauge fields Srong producion of fermions

23 χ χ 3 3 M M Vm m m c c c [ ] y y p p d H 3 [ ], i p y 3 δ h The Higgs Evoluion

24 a f a f y [ ] a g a g i p 0 + f f f i g f if f g Ω Im g f F Higgs Quanum Field

25 ,, f g N n Quanum Iniial Condiions , y e N a Ψ ,, y e f U π Ω Ψ Uniary Evoluion Occupaion number of mode

26 Quanum o Classical Transiion 0, G yˆ, pˆ 0, G y, p 0 gaussian F >>

27 Quanum o Classical Transiion For 3 B app e A f P, / π e A A Bi A B < longwave modes / / / z e z Bi C f exac soluion

28 Power specrum of longwave modes

29 Laice Simulaions Quanum averages Ensemble averages Iniial condiions: Highly occupied modes ,, y e f U π Ω Ψ π θ θ d f d f d d P exp Ψ Rayleigh disribuion

30 Hisograms of Higgs field and Inflaon field

31 Hybrid evoluion

32 High peas of Higgs field

33 High peas of Higgs field

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36 High peas and mean of Higgs field

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38 EW Symmery Breaing can lead o he producion paricles ou of equilibrium, as well a a bacground of graviaional waves see Kofman s al Preheaing afer hybrid inflaion may produce opological defecs

39 JGB, Grigoriev, Kuseno, Shaposhniov JGB, Garcia-Perez, Gonzalez-Arroyo PRD60, PRD67, PRD69,

40 Saharov condiions B violaion C and CP violaion Ou of equilibrium

41 log ρ GUT Evoluion of Universe EW QGP inflaion radiaion maer Λ now? log a

42 ] [ Φ Φ + + µ µ µν µν µν µν D D Tr G G F F L a a 4 4 µ ν ν µ µν ν µ µ ν ν µ µν µ µ µ µ ε B B F A A g A A G B g i A g i D c b abc w a a a Y a a w χ χ λ χ m g v V Tr a a Φ + Φ, ] [, χ χ µ Φ + V The SUxU Higgs-Inflaon model

43 Chern-Simons Number ΔN CS gw 6π 6π i i d Γ ΔNCS 4 Vm d d d d d 3 3 x Tr[ F µν x Q x, ~ F µν I m md Γ i ] I ±

44 Chern-Simons Charge Q x,

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46 Pea in Chern-Simons Charge

47 Sphaleron Producion ΔN CS

48 Sphaleron Producion ΔN CS E sph 0 ΔN CS

49 Cold EW Baryogenesis I Baryonic curren Chiral anomaly j γ µ ψ µ L µ µ µ j µ jl ψ B L 3 6π ΔB ΔL 3Δ Q x, N CS 3g 6π CP violaion w µν L CP δ CP Φ M + Φ new F µν ~ F

50 CP violaion µ induces a bias eff E sph ΔN CS 0

51 CP violaion µ induces a bias eff E sph ΔN CS 0

52 Cold EW Baryogenesis II Effecive poenial µ eff δ M CP new d d Φ + Φ Bolzman equaion d d n B µ eff Γ T sph eff Γ B n B n s B 0 6 δ CP v M new 0 8 δ CP

53 EW Symmery Breaing can lead o he producion of baryons via sphaleron producion a achyonic preheaing afer hybrid inflaion The righ amoun of baryons depends on CP violaion param.

54 J. G.-B. Andres Diaz-Gil Margaria Garcia-Perez Anonio Gonzalez-Arroyo hep-la/ wor in progress

55 EW Tachyonic Preheaing Spinodal growh of long wave Higgs modes A he end of EW Hybrid Inflaion Inflaon couples o Higgs Higgs couples o SM fields Srong producion of fermions and gauge fields

56 ] [ Φ Φ + + µ µ µν µν µν µν D D Tr G G F F L a a 4 4 µ ν ν µ µν ν µ µ ν ν µ µν µ µ µ µ ε B B F A A g A A G B g i A g i D c b abc w a a a Y a a w χ χ λ χ m g v V Tr a a Φ + Φ, ] [, χ χ µ Φ + V The SUxU Higgs-Inflaon model

57 Hybrid Inflaion V, χ χ

58 High peas and mean of Higgs field

59 Evoluion afer EWSB

60 Kineic Turbulence & Scaling m p p q n n p q., Δ m ν ν

61 Iniial magneic field srucures

62 Magneic field srucures

63 Magneic field srucures

64 Evoluion of Magneic componens

65 Magneic flux ubes r j T B r

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67 Elecric componens

68 Coheren Magneic Field in M3 B l 3 µ G 0 pc

69 Coheren Magneic Field in M3 B l 3 µ G 0 pc

70 Faraday roaion by cluser galaxies

71 Coheren Magneic Fields in clusers

72 Coheren Magneic Fields in clusers

73 The ampliude of magneic fields 4 V 0 4 m v mag 0 4 H a ρ 0 rh ρ 3 µ mag mag a 0 ρ Gauss 8π 0 0 GeV G GeV The coherence scale of magneic fields 4 4 Conversion facor ξ During inverse cascade ξ a Afer e+e- annihilaion ξ oday 0 00 pc

74 EW Symmery Breaing can lead o he producion of primordial magneic fields a achyonic preheaing afer hybrid inflaion The righ ampliude and scale of magneic fields depends on he exen of ineic urbulence Iniial condiions for magneo- Hydrodynamic simulaions

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