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The Study of Chiral Magnetic Field in Relativistic Heavy-Ion Collisions

The Study of Chiral Magnetic Field in Relativistic Heavy-Ion Collisions. Chiral Magnetic Effect in Relativistic HIC The Calculation of Chiral Magnetic Fileds The Magnetic Field from the Produced Thermal Quarks Charge Separation in Relativistic Heavy-Ion Collisions Sheng-Qin Feng ( 冯笙琴 )

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The Study of Chiral Magnetic Field in Relativistic Heavy-Ion Collisions

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  1. The Study of Chiral Magnetic Field in Relativistic Heavy-Ion Collisions • Chiral Magnetic Effect in Relativistic HIC • The Calculation of Chiral Magnetic Fileds • The Magnetic Field from the Produced Thermal Quarks • Charge Separation in Relativistic Heavy-Ion Collisions Sheng-Qin Feng (冯笙琴) Three Gorges University Based on Y. J. Mo, S. Q. Feng, Y. F. Shi, Physical Review C88, 024901 (2013) QPT2013@Chengdu, 2013.8

  2. Use Magnetic Field to Observe Chirality D. Kharzeev, L. D. Mclerran, H. J. Warringa, NPA 803, 227 (2008)

  3. The Chiral Magnetic Effect 1. Due to very large magnetic field, the up and down quarks in the lowest landau level and can only move along the direction of the magnetic field. Initially there are as many left-handed as right-handed quarks. 2. The quarks interact with a gauge configuration with non-zero . Assuming = -1, this will convert a left-handed up/down quark into a right-handed up/down quark by reversing the direction of momentum. 3. The right-handed up quarks will move upwards, the right-handed down quarks will move downwards. A charge of q = 2e will be created between two sides of a plane perpendicular the magnetic fields In finite volume this causes separation of positive from negative charge In presence of magnetic field this induces an Electromagnetic Current D. Kharzeev, L. D. Mclerran, H. J. Warringa, NPA 803, 227 (2008)

  4. Chiral Magnetic Effect in Relativistic heavy-Ion Collisions non-central nuclear collisions would lead to the asymmetry in the emission of positively and negatively charged particle perpendicular to the reaction plane.Such a charge separation is a consequence of the difference in the number of quarks with positive and negative helicities positioned in the strong magnetic field.

  5. We now estimate the strength of the magnetic field at position x = (x⊥, z) caused by the two traveling nuclei. We are only interested in the time t > 0, i.e., just after the collision. Then we can split the contribution of particles to the magnetic field in the following way: where and are the contributions of the spectators and the participants moving in the positive or negative z direction, respectively. D. Kharzeev, L. D. Mclerran, H. J. Warringa, NPA, 803, 227 (2008) Y. J. Mo, S. Q. Feng, Y. F. Shi, PRC, 88, 024901 (2013) QPT2013@Chengdu 2013.8

  6. The contributions from spectators The contributions from participants D. Kharzeev, L. D. Mclerran, H. J. Warringa, NPA, 803, 227 (2008) Y. J. Mo, S. Q. Feng, Y. F. Shi, PRC, 88, 024901 (2013) QPT2013@Chengdu, 2013.8

  7. Based on the theory of Kharzeev, McLerran, and Warringa,we use the Wood-Saxon distribution to replace uniform distribution to improve the magnetic field calculation of the noncentral collision. Wood-Saxon distribution Uniform distribution

  8. Magnetic fields falls off rapidly：Chiral Magnetic Effect Is early time dynamics Low energy quarks which are produced in early stages will be polarized in the direction perpendicular to reaction plane

  9. The larger the impact parameter b, the more quickly the magnetic field decrease. When = 3 fm, the magnetic field approximate 0

  10. The magnetic fields given by produced thermal quarks The rapidity distribution of the produced thermal quark: where The density of the electric charge depends on chemical potential: The magnetic field of the produced thermal quarks: Y. J. Mo, S. Q. Feng, Y. F. Shi, PRC, 88, 024901 (2013) S. Q. Feng, Y. Zhong, PRC, 83, 034908 (2011)

  11. The magnetic field of the produced thermal quarks

  12. QCD: Gluon fields can be winded Stable under smooth deformations change topological charge vacuum Instantons: Configuration with finite action: Tunneling through barrier suppression of rate at finite temperature (Pisarski and Yaffe (‘80)) Sphaleron: Configuration with finite energy: Go over barrier. Only possible at high temperature, rate not suppressed, look for it in QGP! D. Kharzeev, L. D. Mclerran, H. J. Warringa, NPA, 803,227 (2008) Y. J. Mo, S. Q. Feng, Y. F. Shi, PRC, 88, 024901 (2013)

  13. To be the difference between in charge on each side of the reaction plane D. Kharzeev, L. D. Mclerran, H. J. Warringa, NPA, 803,227 (2008) Y. J. Mo, S. Q. Feng, Y. F. Shi, PRC, 88, 024901 (2013)

  14. Thank your attention

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