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

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slide1

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

slide2

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

slide8

Freeze-out

s/T^3 = 7

WHY ?

slide10

Freeze-out

E/N = 1.08 Gev

WHY ?

slide11

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?

slide12

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

slide14

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

slide15

Rindler

observer

  • arXiv:0710.5373
    • The Unruh effect and its applications
    • Luis C. B. Crispino,Atsushi Higuchi,George E. A. Matsa
slide21

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

slide23

Uniform acceleration

Event Horizon

Universal thermal behavior

In QCD ?

Confinement

slide35

Full analysis

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

Eur.Phys.J. C56 (2008) 493-510

slide40

Bekenstein-Hawking black-hole entropy

( scale of quantum gravity fluctuactions)

slide41

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

slide43

physical meaning : entanglement

Preliminary – work in progress

P.C., A. Iorio and H.Satz

slide45

Chirco et al.

PRD 90,044044,2014

an interesting example

slide47

BUT

and therefore

slide49

Unruh and Minkowsky

Exactly as in the previous example

slide51

Statistical mechanics of causal horizon

Ted Jacobson, Renaud Parentani, Horizon Entropy in Found.Phys. 33 (2003) 323-348

slide52

The deep meaning of the result

based on

is that the entanglement entropy density per unit horizon area

is finite and universal .. In QFT

( at least for )

M.Srednicki PRL 71(1993)666

QFT

H.Terashima PRD 61(2000) 104016

Lambiase, Iorio, Vitiello , Annals of Physics 309 (2004) 151

slide53

A possible understanding of the phenomenological result

is that it corresponds to the entanglement entropy through the

color confinement horizon due to the string tension.

Entanglement hadronization

Problem of species?

Entanglement explicit calculation

Preliminary – work in progress

P.C., A. Iorio and H.Satz

slide55

P.C. and H.Satz  arXiv:1403.3541

Hawking-Unruh Hadronization and Strangeness Production in High Energy Collisions

(a first preliminary step)

heavy ions

slide58

The Wrobleski factor increases from 0.25 in elementary collisions

to 0.36 in the toy (pions and kaons) model.

slide61

Data from F. Becattini, J. Manninen, and M. Gazdzicki, “Energy and system size dependence of chemical freeze-out in relativistic nuclear

collisions,” Phys. Rev. C73 (2006) 044905,

slide63

For the Unruh mechanism explains the freeze-out criteria

E/N = 1.08 Gev and suggests a physical motivation for s/T^3 = 7

Fundamental Physics!

BH

slide64

But there is more statistical/entanglement ?

In string breaking

Hawking-Unruh radiation in a lab!

Competitors:

Gravity analogue

Lasers - Unruh, Schutzhold,…

Hawking-Unruh effect in Graphene - Lambiase-Iorio, PLB716,2012,334

and arxive 1308.0265.

Workshop on Unruh radiation – Bielefeld – February 2015

C. Barcelo, S. Liberati, and M. Visser, Living Rev. Rel.

slide65

T. Ohsaku, “Dynamical Chiral Symmetry Breaking and

its Restoration for an Accelerated Observer,” Physics

Letters B, Vol. 599, No. 1-2, 2004, pp. 102-110.

Symmetry Restoration by Acceleration

Paolo Castorina, Marco Finocchiaro

Journal of Modern Physics, 2012, 3, 1703-1708

slide101

For hadron production in high energy collisions, causality requirements lead to the counterpart of the cosmological horizon problem: the production occurs in a number of causally disconnected regions of finite space-time size. As a result, globally conserved quantum numbers (charge, strangeness, baryon number) must be conserved locally in spatially restricted correlation clusters. This provides a theoretical basis for the observed suppression of strangeness production in elementary interactions (pp, e+e−). In contrast, the space-time superposition of many collisions in heavy ion interactions largely removes these causality constraints, resulting in an ideal hadronic resonance gas in full equilibrium.

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