P. Castorina Dipartimento di Fisica ed Astronomia Universit à di Catania-Italy

1. Event horizon and entropy in high energy hadroproduction Statistical and/or Entanglement hadronization? P. Castorina Dipartimento di Fisica ed Astronomia Università di Catania-Italy QCD Hadronization and the Statistical Model 6-10 October 2014 ECT - Trento

2. Thermal hadron production: (open) questions Event horizon and thermal spectrum Unruh effect Color event horizon and hadronization Answering a là Unruh to the open questions Conclusions

4. Becattini (2006)

8. Freeze-out s/T^3 = 7 WHY ?

9. A. Bazazov et al. (HotQCD Collaboration), arXiv:1407.6387

10. Freeze-out E/N = 1.08 Gev WHY ?

11. Questions 1) Why do elementary high energy collisions show a statistical behavior? 2) Why is strangeness production universally suppressed in elementary collisions? 3) Why (almost) no strangeness suppression in nuclear collisions? 4) Why hadron freeze-out for s/T^3 = 7 or E/N=1.08 Gev Is there another non-kinetic mechanism providing a common origin of the statistical features?

12. Conjecture Physical vacuum Event horizon for colored constituents Thermal hadron production Hawking-Unruh radiation in QCD P.C., D.Kharzeev and H.Satz -- D.Kharzeev and Y.Tuchin ( temperature) Eur.Phys.J. C52 (2007) 187-201 Nucl. Phys. A 753, 316 (2005) F.Becattini, P.C., J.Manninen and H.Satz (strangeness suppression in e+e-) Eur.Phys.J. C56 (2008) 493-510 P.C. and H.Satz (strangeness enhancement in heavy ion collisions) Adv.High Energy Phys. 2014 (2014) 376982 P.C., A. Iorio and H.Satz ( entropy and freeze-out) arXiv:1409.3104

13. Recall

14. M. K. Parikh and F. Wilczek, “Hawking radiation as tunneling,” Phys. Rev. Lett. 85 (2000) 5042

15. Rindler observer • arXiv:0710.5373 • The Unruh effect and its applications • Luis C. B. Crispino,Atsushi Higuchi,George E. A. Matsa

17. QFT - Unruh (elementary)

21. Applications (elementary implementation) G R. Parentani, S. Massar . Phys.Rev. D55 (1997) 3603-3613 R. Brout, R. Parentani, and Ph. Spindel, “Thermal properties of pairs produced by an electric field: A tunneling approach,” Nucl. Phys. B 353 (1991) 209. THE SCHWINGER MECHANISM, THE UNRUH EFFECT AND THE PRODUCTION OF ACCELERATED BLACK HOLES

23. Uniform acceleration Event Horizon Universal thermal behavior In QCD ? Confinement

26. QCD - Uniform acceleration

34. TOY MODEL

35. Full analysis F.Becattini, P.C., J.Manninen and H.Satz (strangeness suppression in e+e-) Eur.Phys.J. C56 (2008) 493-510

37. F.Becattini, P.C., J.Manninen and H.Satz (strangeness suppression in e+e-)

38. String breaking and E/N = 1.08 Gev

40. Bekenstein-Hawking black-hole entropy ( scale of quantum gravity fluctuactions)

41. 1) Valid for a Rindler horizon ( constant acceleration)? 2) What is the scale r? r is the typical (short) scale of quantum fluctuaction L. Bombelli, R. K. Koul, J. H. Lee and R. D. Sorkin, Phys. Rev. D 34, 373 (1986). M.Srednicki PRL 71(1993)666 QFT H.Terashima PRD 61(2000) 104016 Lambiase, Iorio, Vitiello Annals of Physics 309 (2004) 151

42. String breaking and

43. physical meaning : entanglement Preliminary – work in progress P.C., A. Iorio and H.Satz

45. Chirco et al. PRD 90,044044,2014 an interesting example

47. BUT and therefore

49. Unruh and Minkowsky Exactly as in the previous example

50. K