Natural Inflation: Particle Physics Models, Power Law Spectra for Large Scale Structure, and Constraints from COBE

Fred Adams; J. R. Bond; Katherine Freese; Joshua Frieman; Angela Olinto

doi:10.1103/PhysRevD.47.426

paper

Natural Inflation: Particle Physics Models, Power Law Spectra for Large Scale Structure, and Constraints from COBE

arXiv:hep-ph/9207245 · doi:10.1103/PhysRevD.47.426

Abstract

A pseudo-Nambu-Goldstone boson, with a potential of the form $V (ϕ) = Λ^{4} [1 \pm cos (ϕ / f)], na t u r a l l y g i v esr i se t o in f l a t i o ni f$ f \sim M_{Pl} $an d$ Λ\sim M_{GUT} $. W es h o w h o w t hi sc ana r i se in t ec hni co l or - l ik e an d s u p er s t r in g m o d e l s, an d w or k o u t an e x pl i c i t s t r in g e x am pl e in t h eco n t e x t o f m u l t i pl e g a ug in oco n d e n s a t i o nm o d e l s . W es t u d y t h ecos m o l o g y o f t hi s m o d e l in d e t ai l, an df in d t ha t s u f f i c i e n t r e h e a t in g t oe n s u r e t ha t ba r y o g e n es i sc an t ak e pl a cer e q u i r es$ f > 0.3 M_{Pl} $. T h e p r im or d ia l d e n s i t y f l u c t u a t i o n s p ec t r u m g e n er a t e d i s an o n - sc a l e - in v a r ian tp o w er l a w,$ P(k) \propto k^{n_s} $, w i t h$ n_s \simeq 1 - (M^2_{Pl}/8πf^2) $, l e a d in g t o m or e p o w er o n l a r g e l e n g t h sc a l es t han t h e$ n_s = 1 $H a r r i so n - Z e l d o v i c h s p ec t r u m . T h es t an d a r d C D M m o d e l w i t h$ 0 \la n_s \la 0.6-0.7 $co u l d in p r in c i pl ee x pl ain t h e l a r g e - sc a l ec l u s t er in g o b ser v e d in t h e A P M an d I R A S g a l a x y s u r v ey s a s w e l l a s l a r g e - sc a l e f l o w s, b u tt h e C O B E mi cr o w a v e ani so t r o p y im pl i ess u c h l o w am pl i t u d es (or hi g hbia s f a c t or s,$ b>2 $) f or t h ese C D M m o d e l s t ha t g a l a x y f or ma t i o n occ u r s t oo l a t e t o b e v iab l e; co mbinin g C O B E w i t h s u f f i c i e n tl y e a r l y g a l a x y f or ma t i o n or t h e l a r g e - sc a l e f l o w s l e a d s t o$ n_s >0.6 $, or$ f > 0.3 M_{Pl} $a s w e l l . F or e x t e n d e d an d p o w er l a w in f l a t i o nm o d e l s, t hi sco n s t r ain t i se v e n t i g h t er,$ n_s > 0.7$; combined with other bounds on large bubbles in extended inflation, this leaves little room for most extended models.

42 pages, (12 figures not included but available from the authors)

Natural Inflation: Particle Physics Models, Power Law Spectra for Large Scale Structure, and Constraints from COBE

Abstract

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