QCD和則とMEMを用いた有限密度中のvector mesonの研究の現状と最近の発展

Slides:

Advertisements

Similar presentations

Su Houng Lee Theme: 1.Will U A (1) symmetry breaking effects remain at high T/  2.Relation between Quark condensate and the ’ mass Ref: SHL, T. Hatsuda,

Advertisements

Su Houng Lee 1. Mesons with one heavy quark 2. Baryons with one heavy quark 3. Quarkonium Arguments based on two point function  can be generalized to.

Koichi Hattori, RBRC Hadron and Hadron Interactions in QCD Mar. 9th, 2015 Charmonium spectroscopy in strong magnetic fields by QCD sum rules.

Nuclear Symmetry Energy from QCD Sum Rule Phys.Rev. C87 (2013) Recent progress in hadron physics -From hadrons to quark and gluon- Feb. 21, 2013.

Nuclear Symmetry Energy from QCD Sum Rule Heavy Ion Meeting , April 13, 2012 Kie Sang JEONG Su Houng LEE (Theoretical Nuclear and Hadron Physics.

Operator product expansion and sum rule approach to the unitary Fermi gas Schladming Winter School “Intersection Between QCD and Condensed Matter”

Exploring Real-time Functions on the Lattice with Inverse Propagator and Self-Energy Masakiyo Kitazawa (Osaka U.) 22/Sep./2011 Lunch BNL.

XI ｔｈ International Conference on Quark Confinement and the Hadron Petersburg, Russia Philipp Gubler (RIKEN, Nishina Center) Collaborator:

QCD sum rules in a Bayesian approach YIPQS workshop on “Exotics from Heavy Ion Collisions” YITP Philipp Gubler (TokyoTech) Collaborator: Makoto.

Hadron to Quark Phase Transition in the Global Color Symmetry Model of QCD Yu-xin Liu Department of Physics, Peking University Collaborators: Guo H., Gao.

Chiral condensate in nuclear matter beyond linear density using chiral Ward identity S.Goda (Kyoto Univ.) D.Jido （ YITP ） 12th International Workshop on.

MEM analysis of the QCD sum rule and its Application to the Nucleon spectrum Tokyo Institute of Technology Keisuke Ohtani Collaborators : Philipp Gubler,

P. Gubler, K. Morita, and M. Oka, Phys. Rev. Lett. 107, (2011) K. Suzuki, P. Gubler, K. Morita, and M. Oka, arxiv: [hep-th]

Eigo Shintani (KEK) (JLQCD Collaboration) KEKPH0712, Dec. 12, 2007.

@ Brookhaven National Laboratory April 2008 Spectral Functions of One, Two, and Three Quark Operators in the Quark-Gluon Plasma Masayuki ASAKAWA Department.

Hot quarkonium spectral functions from QCD sum rules and MEM Heavy quarks and quarkonia in thermal ECT*, Villazzano, Italy Philipp Gubler.

Nuclear Symmetry Energy from QCD Sum Rule The 5 th APFB Problem in Physics, August 25, 2011 Kie Sang JEONG Su Houng LEE (Theoretical Nuclear and Hadron.

Application of the operator product expansion and sum rules to the study of the single-particle spectral density of the unitary Fermi gas Seminar at Yonsei.

Hunting Medium Modifications of the Chiral Condensate B. Kämpfer Research Center Rossendorf/Dresden Technical University Dresden with S. Zschocke, R.

Modification of nucleon spectral function in the nuclear medium from QCD sum rules Collaborators: Philipp Gubler(ECT*), Makoto Oka Tokyo Institute of Technology.

The phi meson in nuclear matter - recent result from theory - Talk at ECT* Workshop “New perspectives on Photons and Dileptons in Ultrarelativistic Heavy-Ion.

Spectral functions of mesons at finite temperature/density Talk at the 31 st Reimei workshop on hadron physics in extreme conditions at J-PARC, Tokai,

And Mesons in Strange Hadronic Medium at Finite Temperature and Density Rahul Chhabra (Ph.D student) Department Of Physics NIT Jalandhar India In cooperation.

1 Meson mass in nuclear medium Su Houng Lee Thanks to: Hatsuda + former collaborators + and to Kenji Morita(GSI) and Taesoo Song(A&M) 1.Phase transition,

ANALYSES OF D s * DK (B s * BK) VERTICES J. Y. Süngü, Collaborators: K. Azizi * and H. Sundu 2 nd International Conference on Particle Physics in Memoriam.

ユニタリー・フェルミ気体の一粒子スペクトル関数に対する和則の構築基研研究会「熱場の量子論とその応用」 Philipp Gubler (RIKEN, Nishina Center) Collaborators: Y. Nishida (Tokyo Tech), N. Yamamoto.

Quarkonium at finite Temperature from QCD Sum Rules and the Maximum Entropy Method Seminar at the Komaba Nuclear Theory Tokyo University

Charmonia at finite temperature: an approach based on QCD sum rules and the maximum entropy method “Future Prospects of Hadron Physics at J-PARC and Large.

Nuclear Matter Density Dependence of Nucleon Radius and Mass and Quark Condensates in the GCM of QCD Yu-xin Liu Department of Physics, Peking University.

Recent results from QCD sum rule analyses based on the maximum entropy method International Symposium on Chiral Symmetry in Hadrons and

Exact vector channel sum rules at finite temperature Talk at the ECT* workshop “Advances in transport and response properties of strongly interacting systems”

Theoretical Calculation for neutron EDM Natsumi Nagata Based on J. Hisano, J. Y. Lee, N. Nagata, Y. Shimizu, Phys. Rev. D 85 (2012) , K. Fuyuto,

Nature of f 0 (1370), f 0 (1500) and f 0 (1710) within the eLSM Stanislaus Janowski in collaboration with F. Giacosa, D. Parganlija and D. H. Rischke Stanislaus.

Reevaluation of Neutron Electric Dipole Moment with QCD Sum Rules Natsumi Nagata Nagoya University National Taiwan University 5 November, 2012 J. Hisano,

Vector and axial-vector mesons in nuclear matter – recent results

Thermal modification of bottomonium spectral functions from QCD sum rules with the maximum entropy method Kei Suzuki (Tokyo Institute of Technology)

Nuclear Symmetry Energy in QCD degree of freedom Phys. Rev

P. Gubler, T.T. Takahashi and M. Oka, Phys. Rev. D 94, (2016).

A novel probe of Chiral restoration in nuclear medium

mesons as probes to explore the chiral symmetry in nuclear matter

Modifications of meson spectral functions in nuclear matter

Hadron-structure studies at a neutrino factory

QCD condensates and phi meson spectral moments in nuclear matter

Mesons in medium and QCD sum rule with dim 6 operators

Scalar Meson σ(600) in the QCD Sum Rule

Relativistic Chiral Mean Field Model for Finite Nuclei

The Weak Structure of the Nucleon from Muon Capture on 3He

The φ meson in nuclear matter and the strangeness content of the nucleon Philipp Gubler, JAEA P. Gubler and K. Ohtani, Phys. Rev. D 90, (2014).

Study of Strange Quark in the Nucleon with Neutrino Scattering

Charm2010 4TH International Workshop on Charm Physics

R.R. Silva, M.E. Bracco, S.H. Lee, M. Nielsen

A Bayesian Approach to QCD Sum Rules

how is the mass of the nucleon generated?

有限密度・温度におけるハドロンの性質の変化

The Operator Product Expansion Beyond Perturbation Theory in QCD

Reconsideration of the

Exact vector channel sum rules at finite temperature

Proton structure at low Q2

Towards Understanding the In-medium φ Meson with Finite Momentum

QCD sum rules for quarkonium at T>0

Quarkonia at finite T from QCD sum rules and MEM

The phi meson at finite density from a QCD sum rules + MEM approach

Scalar D mesons in nuclear matter

Internal structure of f0(980) meson by fragmentation functions

Infrared Slavery Above and Hadronic Freedom Below Tc

P. Gubler and M. Oka, Prog. Theor. Phys. 124, 995 (2010).

The future of lattice studies in Korea

Theory on Hadrons in nuclear medium

Effects of the φ-meson on the hyperon production in the hyperon star

Presentation transcript:

QCD和則とMEMを用いた有限密度中のvector mesonの研究の現状と最近の発展原子核媒質中のハドロン研究＝魅力と課題＝ @ J-PARC, Tokai, Japan 6. 8. 2013 Philipp Gubler (RIKEN, Nishina Center)

Contents Motivation What has changed since 1992? An update on QCD sum rules of light vector mesons at finite density First results on ρ and φ What more needs to be done? Conclusions

Introduction: Vector mesons at finite density Basic Motivation: Understanding the behavior of matter under extreme conditions Understanding the origin of mass and its relation to chiral symmetry of QCD - Vector mesons: clean probe for experiment To be investigated at J-PARC Firm theoretical understanding is necessary for interpreting the experimental results!

QCD sum rules M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, Nucl. Phys. B147, 385 (1979); B147, 448 (1979). In this method the properties of the two point correlation function is fully exploited: is calculated “perturbatively”, using OPE spectral function of the operator χ After the Borel transformation:

More on the OPE in matter non-perturbative condensates perturbative Wilson coefficients Change in hot or dense matter!

Important early study T. Hatsuda and S.H. Lee, Phys. Rev. C 46, R34 (1992). Vector meson masses mainly drop due to changes of the quark condensates. The most important condensates are: for for Important assumption: Might be wrong!

What has changed since 1992? Vacuum No fundamental changes since 1992

What has changed since 1992? Finite density effects May have changed Has changed a lot!! Has changed a little

What has changed since 1992? A.D. Martin, W.J. Stirling, R.S. Thorne and G. Watt, Eur. Phys. J. C 63, 189 (2009). 1992 2013 Some changes, but no big effect.

What has changed since 1992? Value used by Hatsuda and Lee: 45 MeV Taken from G.S. Bali et al., Nucl. Phys. B866, 1 (2013). Value used by Hatsuda and Lee: 45 MeV Recent lattice results are mostly consistent with the old values. The latest trend might point to a somewhat smaller value.

What has changed since 1992? The strangeness content of the nucleon: Taken from M. Gong et al. (χQCD Collaboration), arXiv:1304.1194 [hep-ph]. y ~ 0.04 Value used by Hatsuda and Lee: y=0.2 Too big!! The value of y has shrinked by a factor of about 5: a new analysis is necessary!

First results (vacuum) Analysis of the sum rule is done using the maximum entropy method (MEM), which allows to extract the spectral function from the sum rules without any phenomenological ansatz. mφ=1.05 GeV (Exp: 1.02 GeV) mρ=0.75 GeV (Exp: 0.77 GeV) Used input parameters:

First results (ρmeson at finite density) 200 MeV Used input parameters: A. Semke and M.F.M. Lutz, Phys. Lett. B 717, 242 (2012). M. Procura, T.R. Hemmert and W. Weise, Phys. Rev. D 69, 034505 (2004).

First results (ρmeson at finite density) 0.12 ~ 0.19 Consistent with the result of Hatsuda-Lee.

First results (φmeson at finite density) 4 MeV! Used input parameters: A. Semke and M.F.M. Lutz, Phys. Lett. B 717, 242 (2012). M. Procura, T.R. Hemmert and W. Weise, Phys. Rev. D 69, 034505 (2004).

First results (φmeson at finite density) 0.0 ~ 0.008 ruled out !?

What could be wrong? We need new ideas! 1. So far neglected condensates As ms is quite large, terms containing higher orders of ms could have a non-negligible effect. 2. Underestimated density dependence of four-quark condensates We need new ideas!

Conclusions We have reanalyzed the light vector meson sum rules at finite density using MEM and the newest sigma-term values For the ρ-meson, we get results consisten with the old Hatsuda-Lee analysis For the φ-meson, due to the small strangeness content of the nucleon state, we get only a very small mass shift. Reliable estimates for the density dependence of the four-quark condensates would be very helpful.

Backup slide

Estimation of the error of G(M) Gaussianly distributed values for the various parameters are randomly generated. The error is extracted from the resulting distribution of GOPE(M). D.B. Leinweber, Annals Phys. 322, 1949 (1996). PG, M. Oka, Prog. Theor. Phys. 124, 995 (2010).