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Chiral imbalance: its manifestation in hadron matter

NSQCD2018, PNPI, Gatchina, 6.August 2018. Chiral imbalance: its manifestation in hadron matter. A.A. Andrianov & V.A. Andrianov & D.Espriu. Saint-Petersburg State University. Chiral charge generation: new trends From initial stage to hadronization: chiral imbalance vacuum

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Chiral imbalance: its manifestation in hadron matter

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  1. NSQCD2018, PNPI, Gatchina, 6.August 2018 Chiral imbalance: its manifestation in hadron matter A.A.Andrianov & V.A. Andrianov & D.Espriu Saint-Petersburg State University • Chiral charge generation: new trends • From initial stage to hadronization: chiral imbalance vacuum • Effective scalar and vector state lagrangians • with chiral chemical potential • 4. Direct observables of P(CP) parity breaking without E.-M. background • 5. Shall / can we measure them?

  2. Our talk is dedicated to Lev N. Lipatov , the outstanding scientist and our good friend Highlights from the III Russian-Spanish congress (Santiago de Compostela, Spain, 2015) which was established by us together with L.N.Lipatov in 2011

  3. In search for local parity breaking in heavy ion collisions , J.Bjorken DETECTION: scalar and vector meson masses depending on their polarizations, exotic decays A.A., V,A.Andrianov, D.Espriu, X.Planells, Phys. Lett. B 710 (2012) 230, Phys. Rev. D, 90 (2014), 034024) + A.Putilova, A.Iakubovich, Polarization asymmetry in pion-gamma production M. Kawaguchi,M. Harada,S. Matsuzaki,R. Ouyang , PHYS. REV. C 95, 065204 (2017)……..(generalization in this talk)

  4. Or of less size!? (K.Fukushima, private communication)

  5. Induced chiral Imbalance Chiral imbalance

  6. Birth of chiral imbalance Initial Stage After HI collision CI generation QGP  Hadronization: hadron phase with chiral imbalance inherited from quark-gluon fireball < 1 fm/c 1 fm/c < 7-10 fm/c Quark-hadron continuity (T. Schaefer and F. Wilczek, Phys. Rev. Lett.82, 3956(1999); M.G. Alford,G. Baym,K. Fukushima,T. Hatsuda,and M. Tachibana, 1803.05115[hep-ph])

  7. Noncentral HI collisions McLerran, Fukushima, Warringa; Voloshin….]

  8. !

  9. Asymmetry comparison: STAR vs. PHENIX: different centralities Thus to reduce uncertainties one must find alternative ways to measure chiral imbalance

  10. How to “measure” parity odd effects theoretically? Chiral chemical potential/chiral flow vector Vector mesons Fermions Scalars? Split transversal polarizations in masses Split positive and negative fermion helicities in masses = 0 A.A., P.Giacconi, R.Soldati, JHEP02(2002)030

  11. Good marker for central HI collisions

  12. A. A. Andrianov, V. A. Andrianov, D. Espriu,A. E. Putilova, A. V. Iakubovich SCALARS QCD inspired effective meson lagrangian (SU(2) case) current quark mass pions scalar mesons (isosingles + isotriplets) Chiral chemical potential = time-component of axial field

  13. Masses with chiral imbalance < 0 but no instability! When “tachyon” in flight

  14. Mixing of scalars and pseudoscalars and their decays ( depending on velocity ) k = 0 k = 1000 MeV

  15. Exotic decays with chiral imbalance: P-even vertices A. A. Andrianov, V. A. Andrianov, D. Espriu,A. E. Putilova, A. V. Iakubovich

  16. Decays with chiral imbalance: P-even vertices

  17. M. Kawaguchi,M. Harada,S. Matsuzaki,R. Ouyang , PHYS. REV. C 95, 065204 (2017)

  18. Decays with chiral imbalance: P-odd vertices

  19. M. Kawaguchi,M. Harada,S. Matsuzaki,R. Ouyang , PHYS. REV. C 95, 065204 (2017) Our prediction: Scalar resonance enhancement!

  20. Effective meson theory in a medium with LPB

  21. More details in A.A., V.A. Andrianov’s, D. Espriu and X.Planells, Phys. Lett. B 684(2010) 101; B 710 (2012) 230,…

  22. Hints in dilepton excess?

  23. Unfortunately the splitting is strongly contaminated by thermal effects

  24. Thus arises the question. Can these polarization effects somehow be registered in the experiments with heavy ion collisions and thereby assert about the existence of the local parity breaking phase? (details see A.A. Andrianov, V. A. Andrianov, D. Espriu, and X. Planells, Phys. Rev. D, 90 (2014), 034024).

  25. We proposeobservables sensitive to P-oddpolarization effects We study the angular distributions for the polarizations in the mentioned reactions when the angle between the two outgoing leptons in the decay of meson constrained with the laboratory frame. In orderto select the transverse polarizations in the spectrum, we will perform the different cuts for each angle and study the variations of the \rho (and \omega)- spectral function.

  26. Conclusions and outlook • Topological charge fluctuations transmit their influence from QGP to hadron physics via axial chemical potential: in this way local parity breaking (LPB) occurs in hadron sector • 2. LPB enhances dynamical chiral symmetry breaking in QCD: • chiral condensates are increasing with chiral chemical potential • Axial chemical potential triggers parity-odd condensation for large baryon chemical potential in first-order phase transitions (“chiral catalysis” V.Braguta et al.) • 4. LPB modifies dispersion laws for scalar and vector mesons: • lightest “pseudoscalar” mesons tend to massless states in flight, vector meson polarizations split with different in-flight masses • There are observables unambiguously indicating LPB • (STAR, ALICE LHC?): exotic scalar/pseudoscalar meson decays, mass splitting of vector mesons, quarks/nucleons etc.

  27. (personal view, 2018)

  28. (personal view, 2018)

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