Presentation is loading. Please wait.

Presentation is loading. Please wait.

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

Published byAlvin Foster Modified over 9 years ago

Similar presentations

Presentation on theme: "@ Brookhaven National Laboratory April 2008 Spectral Functions of One, Two, and Three Quark Operators in the Quark-Gluon Plasma Masayuki ASAKAWA Department."— Presentation transcript:

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

2 M. Asakawa (Osaka University) QCD Phase Diagram CSC (color superconductivity) QGP (quark-gluon plasma) Hadron Phase T BB chiral symmetry breaking confinement order ? 1st order crossover CEP(critical end point) 160-190 MeV 5-10  0 100MeV ~ 10 12 K RHIC LHC

3 M. Asakawa (Osaka University) Microscopic Understanding of QGP In condensed matter physics, common to start from one particle states, then proceed to two, three,... particle states (correlations) Importance of Microscopic Properties of matter, in addition to Bulk Properties Spectral Functions:  One Quark  Two Quarks mesons color singlet octet  diquarks  Three Quarks baryons ...... need to fix gauge Kitazawa’s talk

4 M. Asakawa (Osaka University) Spectral Function Definition of Spectral Function (SPF) SPF is peaked at particle mass and takes a broad form for a resonance Information on Dilepton production Photon Production J/  suppression...etc. : encoded in SPF

5 M. Asakawa (Osaka University) Photon and Dilepton production rates Dilepton production rate Photon production rate (for massless leptons) where  T and  L are given by   : QCD EM current spectral function

6 M. Asakawa (Osaka University) Lattice calculation of spectral functions No calculation yet for finite momentum light quark spectral functions LQGP collaboration, in progress Calculation for zero momentum light quark spectral functions by two groups  T =  L @ zero momentum Since the spectral function is a real time quantity, necessary to use MEM (Maximum Entropy Method) So far, only pQCD spectral function has been used

7 M. Asakawa (Osaka University) QGP is strongly coupled, but... D’Enterria, LHC workshop @CERN 2007

8 M. Asakawa (Osaka University) Lattice calculation of spectral functions No calculation yet for finite momentum light quark spectral functions LQGP collaboration, in progress Calculation for zero momentum light quark spectral functions by two groups  T =  L @ zero momentum Since the spectral function is a real time quantity, necessary to use MEM (Maximum Entropy Method) So far, only pQCD spectral function has been used

9 M. Asakawa (Osaka University) Spectral Functions above T c Asakawa, Nakahara & Hatsuda [hep-lat/0208059] m~m s at T/T c = 1.4 ss-channel  (ω ） /ω 2 Lattice Artifact peak structure spectral functions

10 M. Asakawa (Osaka University) Another calculation dilepton production rate Karsch et al., 2003 ~2 GeV @1.5T c massless quarks How about for heavy quarks? smaller lattice log scale! In almost all dilepton calculations from QGP, pQCD expression has been used

11 M. Asakawa (Osaka University) J/  non-dissociation above T c J/  ( p  0 ) disappears between 1.62T c and 1.70T c Lattice Artifact Asakawa and Hatsuda, PRL 2004

12 M. Asakawa (Osaka University) Result for PS channel (  c ) at Finite T  c ( p  0 ) also disappears between 1.62T c and 1.70T c A(  )   2  (  ) Asakawa and Hatsuda, PRL 2004

13 M. Asakawa (Osaka University) Statistical and Systematic Error Analyses in MEM The Larger the Number of Data Points and the Lower the Noise Level The closer the result is to the original image Generally, Need to do the following: Put Error Bars and Make Sure Observed Structures are Statistically Significant Change the Number of Data Points and Make Sure the Result does not Change Statistical Systematic in any MEM analysis

14 M. Asakawa (Osaka University) Statistical Significance Analysis for J/  Statistical Significance Analysis = Statistical Error Putting T = 1.62T c T = 1.70T c Ave. ±1  Both Persistence and Disappearance of the peak are Statistically Significant

15 M. Asakawa (Osaka University) Dependence on Data Point Number N   = 46 (T = 1.62T c ) V channel (J/  ) Data Point # Dependence Analysis = Systematic Error Estimate

16 M. Asakawa (Osaka University) Baryon Operators Nucleon current Ioffe current Euclidean correlation function at zero momentum On the lattice, used s = 0, t = 1, u(x) = d(x) = q(x), J N (x) → J(x)

17 M. Asakawa (Osaka University) Spectral Functions for Fermionic Operators : neither even nor odd Thus, need to and can carry out MEM analysis in [-  max,  max ] semi-positivity independent For Meson currents, SPF is odd In the following, we analyze

18 M. Asakawa (Osaka University) Lattice Parameters 1.Lattice Sizes 32 3  32 (T = 2.33T c ) 40 (T = 1.87T c ) 42 (T = 1.78T c ) 44 (T = 1.70T c ) 46 (T = 1.62T c ) 54 (T = 1.38T c ) 72 (T = 1.04T c ) 80 (T = 0.93T c ) 96 (T = 0.78T c ) 2.  = 7.0,  0 = 3.5  = a  / a  = 4.0 (anisotropic) 3. a  = 9.75  10 -3 fm L  = 1.25 fm 4.Standard Plaquette Action 5.Wilson Fermion 6.Heatbath : Overrelaxation = 1 : 4 1000 sweeps between measurements 7.Quenched Approximation 8.Gauge Unfixed 9. p = 0 Projection 10.Machine: CP-PACS

19 M. Asakawa (Osaka University) Analysis Details Default Model At zero momentum, Espriu, Pascual, Tarrach, 1983 Relation between lattice and continuum currents In the following, lattice spectral functions are presented is assumed  max = 45 GeV ~ 3  /a   3 quarks)

20 M. Asakawa (Osaka University) Just In No statistical or systematic analysis has been carried out, yet parity + parity - ccc baryon

21 M. Asakawa (Osaka University) ccc baryon channel parity + parity - ccc baryon

22 M. Asakawa (Osaka University) Scattering Term Scattering term at This term is non-vanishing only for For J/  (m 1 =m 2 ), this condition becomes zero mode a.k.a. Landau damping cf. QCD SR (Hatsuda and Lee, 1992)

23 M. Asakawa (Osaka University) Scattering Term (two body case) This term is non-vanishing only for (Boson-Fermion case, e.g. Kitazawa et al., 2008)

24 M. Asakawa (Osaka University) Scattering Term (three body case)

25 M. Asakawa (Osaka University) Negative parity: a possible interpretation anti-quark: parity -

26 M. Asakawa (Osaka University) sss baryon channel parity + parity -

27 M. Asakawa (Osaka University) QCD Phase Diagram CSC (color superconductivity) QGP (quark-gluon plasma) Hadron Phase T BB chiral symmetry breaking confinement order ? 1st order crossover CEP(critical end point) 160-190 MeV 5-10  0 100MeV ~ 10 12 K RHIC LHC Diquark, Quark-antiquark correlations

28 M. Asakawa (Osaka University) Summary It is important to know one, two, three...quark spectral functions for the understanding of QGP Mesons and Baryons (new!) exist well above T c A sharp peak with negative parity is observed in baryonic SPF above T c This can be due to diquark-quark scattering term and imply the existence of diquark correlation above T c Direct measurement of SPF of one and two quark operators with MEM is desired

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

Similar presentations

The Phase Diagram of Nuclear Matter Oumarou Njoya.

The Phase Diagram of Nuclear Matter Oumarou Njoya.
23 Jun. 2010Kenji Morita, GSI / XQCD20101 Mass shift of charmonium near QCD phase transition and its implication to relativistic heavy ion collisions Kenji.

23 Jun. 2010Kenji Morita, GSI / XQCD20101 Mass shift of charmonium near QCD phase transition and its implication to relativistic heavy ion collisions Kenji.
Lattice 2007T.Umeda (Tsukuba)1 Study of constant mode in charmonium correlators at finite temperature Takashi Umeda Lattice 2007, Regensburg, Germany,

Lattice 2007T.Umeda (Tsukuba)1 Study of constant mode in charmonium correlators at finite temperature Takashi Umeda Lattice 2007, Regensburg, Germany,
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,

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,
Thermal 2007T.Umeda (Tsukuba)1 Constant mode in charmonium correlation functions Takashi Umeda This is based on the Phys. Rev. D75 094502 (2007) Thermal.

Thermal 2007T.Umeda (Tsukuba)1 Constant mode in charmonium correlation functions Takashi Umeda This is based on the Phys. Rev. D (2007) Thermal.
Naoki Yamamoto (Univ. of Tokyo) Tetsuo Hatsuda (Univ. of Tokyo) Motoi Tachibana (Saga Univ.) Gordon Baym (Univ. of Illinois) Phys. Rev. Lett. 97 (2006)122001.

Naoki Yamamoto (Univ. of Tokyo) Tetsuo Hatsuda (Univ. of Tokyo) Motoi Tachibana (Saga Univ.) Gordon Baym (Univ. of Illinois) Phys. Rev. Lett. 97 (2006)
The speed of sound in a magnetized hot Quark-Gluon-Plasma Based on: 0905.2097 Neda Sadooghi Department of Physics Sharif University of Technology Tehran-Iran.

The speed of sound in a magnetized hot Quark-Gluon-Plasma Based on: Neda Sadooghi Department of Physics Sharif University of Technology Tehran-Iran.
Wolfgang Cassing CERN, 04.06.2007 Properties of the sQGP at RHIC and LHC energies.

Wolfgang Cassing CERN, Properties of the sQGP at RHIC and LHC energies.
Lattice QCD at finite temperature Péter Petreczky Physics Department and RIKEN-BNL Winter Workshop on Nuclear Dynamics, March 12-18, 2006 Bulk thermodynamics.

Lattice QCD at finite temperature Péter Petreczky Physics Department and RIKEN-BNL Winter Workshop on Nuclear Dynamics, March 12-18, 2006 Bulk thermodynamics.
Excited Hadrons: Lattice results Christian B. Lang Inst. F. Physik – FB Theoretische Physik Universität Graz Oberwölz, September 2006 B ern G raz R egensburg.

Excited Hadrons: Lattice results Christian B. Lang Inst. F. Physik – FB Theoretische Physik Universität Graz Oberwölz, September 2006 B ern G raz R egensburg.
Quarkonia correlators and spectral functions Péter Petreczky Physics Department and RIKEN-BNL SQM 2006, March 26-31, 2006 Meson spectral functions and.

Quarkonia correlators and spectral functions Péter Petreczky Physics Department and RIKEN-BNL SQM 2006, March 26-31, 2006 Meson spectral functions and.
The QCD Phase Diagram in Relativistic Heavy Ion Collisions October 24, Inauguration Conference Chiho NONAKA, Nagoya University.

The QCD Phase Diagram in Relativistic Heavy Ion Collisions October 24, Inauguration Conference Chiho NONAKA, Nagoya University.
Ágnes MócsyLast Call for LHC CERN 05 31 07 1 Predictions for Quarkonium Properties Above Deconfinement in collaboration with Péter Petreczky.

Ágnes MócsyLast Call for LHC CERN Predictions for Quarkonium Properties Above Deconfinement in collaboration with Péter Petreczky.
Has the critical temperature of the QCD phase transition been measured ?

Has the critical temperature of the QCD phase transition been measured ?
Stability of Quarkonia in a Hot Medium Cheuk-Yin Wong Oak Ridge National Laboratory & University of Tennessee SQM Workshop, UCLA, March 26-30, 2006 Introduction.

Stability of Quarkonia in a Hot Medium Cheuk-Yin Wong Oak Ridge National Laboratory & University of Tennessee SQM Workshop, UCLA, March 26-30, 2006 Introduction.
1 Thermodynamics of two-flavor lattice QCD with an improved Wilson quark action at non-zero temperature and density Yu Maezawa (Univ. of Tokyo) In collaboration.

1 Thermodynamics of two-flavor lattice QCD with an improved Wilson quark action at non-zero temperature and density Yu Maezawa (Univ. of Tokyo) In collaboration.
Lecture 7-8: Correlation functions and spectral functions Relation of spectral function and Euclidean correlation functions Maximum Entropy Method Quarkonium.

Lecture 7-8: Correlation functions and spectral functions Relation of spectral function and Euclidean correlation functions Maximum Entropy Method Quarkonium.
ATHIC 2010T. Umeda (Hiroshima Univ.)1 Heavy Quarkonium in QGP on the Lattice Takashi Umeda 3rd Asian Triangle Heavy-Ion Conference CCNU, Wuhan, China,

ATHIC 2010T. Umeda (Hiroshima Univ.)1 Heavy Quarkonium in QGP on the Lattice Takashi Umeda 3rd Asian Triangle Heavy-Ion Conference CCNU, Wuhan, China,
Heavy quarkonia in potential models and lattice QCD Péter Petreczky Heavy quark production in heavy ion collisions Purdue University, January 4-6, 2011.

Heavy quarkonia in potential models and lattice QCD Péter Petreczky Heavy quark production in heavy ion collisions Purdue University, January 4-6, 2011.
Exploring Real-time Functions on the Lattice with Inverse Propagator and Self-Energy Masakiyo Kitazawa (Osaka U.) 22/Sep./2011 Lunch BNL.

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

Similar presentations

Ads by Google