Universal rapidity scaling of entanglement entropy inside hadrons from conformal invariance

Gürsoy, Umut; Kharzeev, Dmitri E.; Pedraza, Juan F.

doi:10.1103/PhysRevD.110.074008

Title: Universal rapidity scaling of entanglement entropy inside hadrons from conformal invariance

Journal Article · 06 October 2024 · Physical Review. D.

DOI: https://doi.org/10.1103/PhysRevD.110.074008 · OSTI ID:2459348

;

When a hadron is probed at high energy, a nontrivial quantum entanglement entropy inside the hadron emerges due to the lack of complete information about the hadron wave function extracted from this measurement. In the high-energy limit, the hadron becomes a maximally entangled state, with a linear dependence of entanglement entropy on rapidity, as has been found in a recent analysis based on parton description. In this paper, we use an effective conformal field theoretic description of hadrons on the light cone to show that the linear dependence of the entanglement entropy on rapidity found in parton description is a general consequence of approximate conformal invariance and does not depend on the assumption of weak coupling. Our result also provides further evidence for a duality between the parton and string descriptions of hadrons. Published by the American Physical Society 2024

View Journal Article

Cite

Export

Save

Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: SC0012704

OSTI ID:: 2459348

Report Number(s):: BNL--226352-2024-JAAM; 074008

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 7 Vol. 110; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (56)

Conformal Field Theory Di Francesco, Philippe; Mathieu, Pierre; Sénéchal, David Graduate Texts in Contemporary Physics https://doi.org/10.1007/978-1-4612-2256-9	book	January 1997
Local Quantum Physics Haag, Rudolf Theoretical and Mathematical Physics https://doi.org/10.1007/978-3-642-61458-3	book	January 1996
Construction of a crossing-simmetric, Regge-behaved amplitude for linearly rising trajectories Veneziano, G. Il Nuovo Cimento A, Vol. 57, Issue 1 https://doi.org/10.1007/BF02824451	journal	September 1968
Closed flux tubes and their string description in D =3+1 SU(N) gauge theories Athenodorou, Andreas; Bringoltz, Barak; Teper, Michael Journal of High Energy Physics, Vol. 2011, Issue 2 https://doi.org/10.1007/JHEP02(2011)030	journal	February 2011
Towards a theory of the QCD string Dubovsky, Sergei; Gorbenko, Victor Journal of High Energy Physics, Vol. 2016, Issue 2 https://doi.org/10.1007/JHEP02(2016)022	journal	February 2016
Entanglement entropy of excited states in conformal perturbation theory and the Einstein equation Speranza, Antony J. Journal of High Energy Physics, Vol. 2016, Issue 4 https://doi.org/10.1007/JHEP04(2016)105	journal	April 2016
Dynamics of entanglement in expanding quantum fields Berges, Jürgen; Floerchinger, Stefan; Venugopalan, Raju Journal of High Energy Physics, Vol. 2018, Issue 4 https://doi.org/10.1007/JHEP04(2018)145	journal	April 2018
Closed flux tubes and their string description in D=2+1 SU(N) gauge theories Athenodorou, Andreas; Bringoltz, Barak; Teper, Michael Journal of High Energy Physics, Vol. 2011, Issue 5 https://doi.org/10.1007/JHEP05(2011)042	journal	May 2011
The effective theory of long strings Aharony, Ofer; Komargodski, Zohar Journal of High Energy Physics, Vol. 2013, Issue 5 https://doi.org/10.1007/JHEP05(2013)118	journal	May 2013
The Color Glass Condensate density matrix: Lindblad evolution, entanglement entropy and Wigner functional Armesto, Néstor; Domínguez, Fabio; Kovner, Alex Journal of High Energy Physics, Vol. 2019, Issue 5 https://doi.org/10.1007/JHEP05(2019)025	journal	May 2019
Holographic entanglement entropy on generic time slices Kusuki, Yuya; Takayanagi, Tadashi; Umemoto, Koji Journal of High Energy Physics, Vol. 2017, Issue 6 https://doi.org/10.1007/JHEP06(2017)021	journal	June 2017
Effective string theory revisited Dubovsky, Sergei; Flauger, Raphael; Gorbenko, Victor Journal of High Energy Physics, Vol. 2012, Issue 9 https://doi.org/10.1007/JHEP09(2012)044	journal	September 2012
QCD and the string model Nambu, Yoichiro Physics Letters B, Vol. 80, Issue 4-5 https://doi.org/10.1016/0370-2693(79)91193-6	journal	January 1979
The exactqq¯potential in Nambu string theory Arvis, J. F. Physics Letters B, Vol. 127, Issue 1-2 https://doi.org/10.1016/0370-2693(83)91640-4	journal	July 1983
High energy QCD as a completely integrable model Faddeev, L. D.; Korchemsky, G. P. Physics Letters B, Vol. 342, Issue 1-4 https://doi.org/10.1016/0370-2693(94)01363-H	journal	January 1995
A planar diagram theory for strong interactions Hooft, G. 't Nuclear Physics B, Vol. 72, Issue 3 https://doi.org/10.1016/0550-3213(74)90154-0	journal	April 1974
Gauge fields as rings of glue Polyakov, A. M. Nuclear Physics B, Vol. 164 https://doi.org/10.1016/0550-3213(80)90507-6	journal	January 1980
Geometric and renormalized entropy in conformal field theory Holzhey, Christoph; Larsen, Finn; Wilczek, Frank Nuclear Physics B, Vol. 424, Issue 3 https://doi.org/10.1016/0550-3213(94)90402-2	journal	August 1994
Gauge theory correlators from non-critical string theory Gubser, S. S.; Klebanov, I. R.; Polyakov, A. M. Physics Letters B, Vol. 428, Issue 1-2 https://doi.org/10.1016/S0370-2693(98)00377-3	journal	May 1998
Entanglement and thermalization Berges, Jürgen; Floerchinger, Stefan; Venugopalan, Raju Nuclear Physics A, Vol. 982 https://doi.org/10.1016/j.nuclphysa.2018.12.008	journal	February 2019
Spectrum of the QCD flux tube in 3d SU(2) lattice gauge theory Brandt, Bastian B.; Majumdar, Pushan Physics Letters B, Vol. 682, Issue 2 https://doi.org/10.1016/j.physletb.2009.11.010	journal	November 2009
Gluon saturation and entropy production in proton–proton collisions Kutak, Krzysztof Physics Letters B, Vol. 705, Issue 3 https://doi.org/10.1016/j.physletb.2011.09.113	journal	November 2011
Entanglement entropy of scattering particles Peschanski, Robi; Seki, Shigenori Physics Letters B, Vol. 758 https://doi.org/10.1016/j.physletb.2016.04.063	journal	July 2016
On the duality condition for quantum fields Bisognano, Joseph J. Journal of Mathematical Physics, Vol. 17, Issue 3 https://doi.org/10.1063/1.522898	journal	January 1976
Quark confinement and the bosonic string Lüscher, Martin; Weisz, Peter Journal of High Energy Physics, Vol. 2002, Issue 07 https://doi.org/10.1088/1126-6708/2002/07/049	journal	July 2002
String excitation energies in SU(N) gauge theories beyond the free-string approximation L. scher, Martin; Weisz, Peter Journal of High Energy Physics, Vol. 2004, Issue 07 https://doi.org/10.1088/1126-6708/2004/07/014	journal	July 2004
The energy of a moving quark-antiquark pair in an Script N = 4 SYM plasma Chernicoff, Mariano; García, J. Antonio; Güijosa, Alberto Journal of High Energy Physics, Vol. 2006, Issue 09 https://doi.org/10.1088/1126-6708/2006/09/068	journal	September 2006
Entanglement entropy and quantum field theory Calabrese, Pasquale; Cardy, John Journal of Statistical Mechanics: Theory and Experiment, Vol. 2004, Issue 06 https://doi.org/10.1088/1742-5468/2004/06/P06002	journal	June 2004
Entanglement entropy and conformal field theory Calabrese, Pasquale; Cardy, John Journal of Physics A: Mathematical and Theoretical, Vol. 42, Issue 50 https://doi.org/10.1088/1751-8113/42/50/504005	journal	December 2009
Quantum information approach to high energy interactions Kharzeev, Dmitri E. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 380, Issue 2216 https://doi.org/10.1098/rsta.2021.0063	journal	December 2021
Entanglement of elastic and inelastic scattering Miller, Gerald A. Physical Review C, Vol. 108, Issue 4 https://doi.org/10.1103/PhysRevC.108.L041601	journal	October 2023
Strings, monopoles, and gauge fields Nambu, Y. Physical Review D, Vol. 10, Issue 12 https://doi.org/10.1103/PhysRevD.10.4262	journal	December 1974
Evaluation of entanglement entropy in high energy elastic scattering Peschanski, Robi; Seki, Shigenori Physical Review D, Vol. 100, Issue 7 https://doi.org/10.1103/PhysRevD.100.076012	journal	October 2019
Deep inelastic scattering as a probe of entanglement: Confronting experimental data Kharzeev, Dmitri E.; Levin, Eugene Physical Review D, Vol. 104, Issue 3 https://doi.org/10.1103/PhysRevD.104.L031503	journal	August 2021
Entanglement entropy production in deep inelastic scattering Zhang, Kun; Hao, Kun; Kharzeev, Dmitri Physical Review D, Vol. 105, Issue 1 https://doi.org/10.1103/PhysRevD.105.014002	journal	January 2022
Classicalization and unitarization of wee partons in QCD and gravity: The CGC-black hole correspondence Dvali, Gia; Venugopalan, Raju Physical Review D, Vol. 105, Issue 5 https://doi.org/10.1103/PhysRevD.105.056026	journal	March 2022
Entanglement entropy and flow in two-dimensional QCD: Parton and string duality Liu, Yizhuang; Nowak, Maciej A.; Zahed, Ismail Physical Review D, Vol. 105, Issue 11 https://doi.org/10.1103/PhysRevD.105.114027	journal	June 2022
Rapidity evolution of the entanglement entropy in quarkonium: Parton and string duality Liu, Yizhuang; Nowak, Maciej A.; Zahed, Ismail Physical Review D, Vol. 105, Issue 11 https://doi.org/10.1103/PhysRevD.105.114028	journal	June 2022
Proof of a quantum Bousso bound Bousso, Raphael; Casini, Horacio; Fisher, Zachary Physical Review D, Vol. 90, Issue 4 https://doi.org/10.1103/PhysRevD.90.044002	journal	August 2014
Entropy on a null surface for interacting quantum field theories and the Bousso bound Bousso, Raphael; Casini, Horacio; Fisher, Zachary Physical Review D, Vol. 91, Issue 8 https://doi.org/10.1103/PhysRevD.91.084030	journal	April 2015
Entanglement entropy and entropy production in the color glass condensate framework Kovner, Alex; Lublinsky, Michael Physical Review D, Vol. 92, Issue 3 https://doi.org/10.1103/PhysRevD.92.034016	journal	August 2015
Deep inelastic scattering as a probe of entanglement Kharzeev, Dmitri E.; Levin, Eugene M. Physical Review D, Vol. 95, Issue 11 https://doi.org/10.1103/PhysRevD.95.114008	journal	June 2017
QCD β -function on the string worldsheet Dubovsky, Sergei Physical Review D, Vol. 98, Issue 11 https://doi.org/10.1103/PhysRevD.98.114025	journal	December 2018
Light-Front Holography: A First Approximation to QCD de Téramond, Guy F.; Brodsky, Stanley J. Physical Review Letters, Vol. 102, Issue 8 https://doi.org/10.1103/PhysRevLett.102.081601	journal	February 2009
Real-Time Nonperturbative Dynamics of Jet Production in Schwinger Model: Quantum Entanglement and Vacuum Modification Florio, Adrien; Frenklakh, David; Ikeda, Kazuki Physical Review Letters, Vol. 131, Issue 2 https://doi.org/10.1103/PhysRevLett.131.021902	journal	July 2023
Probing the Onset of Maximal Entanglement inside the Proton in Diffractive Deep Inelastic Scattering Hentschinski, Martin; Kharzeev, Dmitri E.; Kutak, Krzysztof Physical Review Letters, Vol. 131, Issue 24 https://doi.org/10.1103/PhysRevLett.131.241901	journal	December 2023
Effective string theory Polchinski, Joseph; Strominger, Andrew Physical Review Letters, Vol. 67, Issue 13 https://doi.org/10.1103/PhysRevLett.67.1681	journal	September 1991
Entanglement in Quantum Critical Phenomena Vidal, G.; Latorre, J. I.; Rico, E. Physical Review Letters, Vol. 90, Issue 22 https://doi.org/10.1103/PhysRevLett.90.227902	journal	June 2003
Anti–de Sitter/Conformal-Field-Theory Calculation of Screening in a Hot Wind Liu, Hong; Rajagopal, Krishna; Wiedemann, Urs Achim Physical Review Letters, Vol. 98, Issue 18 https://doi.org/10.1103/PhysRevLett.98.182301	journal	May 2007
Measurement of charged particle multiplicity distributions in DIS at HERA and its implication to entanglement entropy of partons: H1 Collaboration Andreev, V.; Baghdasaryan, A.; Baty, A. The European Physical Journal C, Vol. 81, Issue 3 https://doi.org/10.1140/epjc/s10052-021-08896-1	journal	March 2021
Evidence for the maximally entangled low x proton in Deep Inelastic Scattering from H1 data Hentschinski, Martin; Kutak, Krzysztof The European Physical Journal C, Vol. 82, Issue 2 https://doi.org/10.1140/epjc/s10052-022-10056-y	journal	February 2022
Maximally entangled proton and charged hadron multiplicity in Deep Inelastic Scattering Hentschinski, Martin; Kutak, Krzysztof; Straka, Robert The European Physical Journal C, Vol. 82, Issue 12 https://doi.org/10.1140/epjc/s10052-022-11122-1	journal	December 2022
Bethe Ansatz for XXX chain with negative spin Hao, Kun; Kharzeev, Dmitri; Korepin, Vladimir International Journal of Modern Physics A, Vol. 34, Issue 31 https://doi.org/10.1142/S0217751X19501975	journal	November 2019
New results on the effective string corrections to the interquark potential. Caselle, Michele; Billo, Marco; Zago, Mirco Proceedings of The XXVIII International Symposium on Lattice Field Theory — PoS(Lattice 2010) https://doi.org/10.22323/1.105.0273	conference	June 2011
The large $N$ limit of superconformal field theories and supergravity Maldacena, Juan Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 2 https://doi.org/10.4310/ATMP.1998.v2.n2.a1	journal	January 1998
Anti de Sitter space and holography Witten, Edward Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 2 https://doi.org/10.4310/ATMP.1998.v2.n2.a2	journal	January 1998

Similar Records

Entanglement in massive Schwinger model at finite temperature and density

Journal Article · 2024 · Physical Review. D. · OSTI ID:2282390

Grieninger, Sebastian; Ikeda, Kazuki; Kharzeev, Dmitri E.; +1 more

Scale and conformal invariance on (A)dS spacetimes

Journal Article · 2024 · Physical Review. D. · OSTI ID:2427417

Farnsworth, Kara; Hinterbichler, Kurt; Hulík, Ondřej

Elastic cross section is entanglement entropy

Journal Article · 2025 · Physical Review. D. · OSTI ID:2544406

Low, Ian; Yin, Zhewei

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
conformal field theory
conformal symmetry
duality
entanglement entropy
hadrons
strong interaction

Title: Universal rapidity scaling of entanglement entropy inside hadrons from conformal invariance

Citation Formats

References (56)

Similar Records

Related Subjects