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Modifications of Chiral Condensate in Medium: Antennas of QCD Vacuum?

Explore the adjustments in chiral condensate under medium conditions, investigating vacuum features like monopoles, vortices, and instantons. Analyze in-medium gas approximations, dilute gas sums, and 4-quark condensates. Delve into the impact on quark and gluon operators, with discussions on material constants and Current-Current Correlator. Challenges include mass singularity versus mixing considerations.

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Modifications of Chiral Condensate in Medium: Antennas of QCD Vacuum?

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  1. e+ e- Hunting Medium Modifications of the Chiral Condensate B. Kämpfer Research Center Rossendorf/Dresden Technical University Dresden Brown & Rho (1991): search by HADES ... antennas of QCD vacuum? with S. Zschocke, R. Thomas, Th. Hilger

  2. UniversalMaterial Constants of Vacuum dil. symm. break. symm. break. (spont.), o.p. D. Leinweber‘s vacuum monopoles, instantons, vortices, ...

  3. Expansion not à la Taylor but Wilson: OPE Wilson coeff. quark& gluon operators Observables:

  4. In Medium Dilute Gas Approx.

  5. QCD Sum Rules à la Borel 4-quark condensates (factorization fails)

  6. chiral condensate = genuine chiral condensate

  7. CB-TAPS: Trnka et al. 05 strong density dependence of combined 4-quark conds. also dim-8 contributions norm. moment Thomas/Zschocke/BK PRL 05

  8. Book Keeping of 4-Quark Condensates vacuum: 5, medium: 12 indep. 4-q conds. w/o color w/ color nucleon: no inverse relations exist between 4-q conds. (not accurately fulfilled in models)

  9. vacuum: 10, medium: 32 indep. 4-q conds.

  10. 4-q conds. for nucleon  4-q conds. for V 3 indep. combinations of 4-q conds.

  11. amplifier 2000 2001 D in medium: Weise/Morath, Hayashigaki expected pattern: hadron scenario Lutz, Korpa 2005: w/o inel. w/ inel.

  12. hadron properties QCD

  13. M_D, vacuum S_0 = 2.45 GeV

  14. basic features (Weise,Morath 2001): Pole + Continuum Ansatz w/o change of continuum

  15. Spec. Function [GeV^-2] E [GeV] 1.6 2.0 = center of gravity of pole ansatz is not appropriate: D+ Lutz, Korpa

  16. How to Measure Med.-Mod. of D Mesons? K- D0 pi+ lesson from K-

  17. Tlab = 25 AGeV Chem. Freeze-Out Cleymans-Redlich-Wheaton param. Fuchs et al.: T > 100 MeV  meson effects

  18. Weise/Morath ... 99: tiny in-medium effects Generalis/Broadhurst 84: medium resistent

  19. CB-TAPS & Borel QSR: 1. Conclusions strong in-medium change of 4q cond. 4q cond. = new order parameter? 2. N: 4q conds. vs. phenomenlogy 3. D: antenna of QCD vaccum Quantify change of QCD vacuum: nB, T dependence of material constants

  20. + CCC: Current-Current Correlator

  21. Problems: mass sing. vs. mixing

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