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Chaejun Song(SNU & PNU) with M. Harada, C. Sasaki (Nagoya), D.-P. Min (SNU), T.- S. Park (KIAS)

An EFT around Fermi surface. Chaejun Song(SNU & PNU) with M. Harada, C. Sasaki (Nagoya), D.-P. Min (SNU), T.- S. Park (KIAS). hep-ph/0410124. T(MeV). Early Universe (RHIC). Quark-Gluon Plasma. ~150. Phase Transition. Color Superconductor Neutron Star. Hadron Gas. ~10.

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Chaejun Song(SNU & PNU) with M. Harada, C. Sasaki (Nagoya), D.-P. Min (SNU), T.- S. Park (KIAS)

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  1. An EFT around Fermi surface Chaejun Song(SNU & PNU) with M. Harada, C. Sasaki (Nagoya), D.-P. Min (SNU), T.- S. Park (KIAS) hep-ph/0410124

  2. T(MeV) Early Universe (RHIC) Quark-Gluon Plasma ~150 Phase Transition Color Superconductor Neutron Star Hadron Gas ~10 Density(n0) Nuclear Phase Diagram Atomic Nuclei

  3. Pions in medium kaons in medium Hadrons in Medium

  4. Heavy Baryon Chiral Effective Theory • Very powerful for a system of a few baryons • Systematic expansion with Q/ • Applications to nuclear matter -> new scale appears! • Purpose: study dense medium in a systematic way

  5. Our scales • Small scale Q: excitation scale from Fermi surface (or pion mass) • Large scale : chiral symmetry breaking scale • Intermediate scale : Fermi momentum

  6. Expansion scales • Q/ • /

  7. Free Fermion Gas

  8. Analogy from HDET See D.K. Hong: PLB 473, 118 (00)

  9. 2nd transformation and projection

  10. Pions in Medium

  11. nucleon-pion interaction

  12. self-interactions of nucleons

  13. Power Counting Rule

  14. Vector Correlator

  15. Suppressed by

  16. 1-loop: . Axial Vector Correlator

  17. Pion Decay Constants in Medium Decomposition into 4 parts:

  18. Matching with HBChPT at some

  19. Our result: HBChPT from Meissner et al., Ann. Phys. 297, 27 (02)

  20. Suzuki et al., PRL92, 072302(04)

  21. Pion Velocity in Medium Lee et al., NPA 741, 161(04)

  22. Damping of Pions • No Damping in our valid range

  23. We will study… • How to determine our parameters • How to introduce and deal with cutoffs around Fermi surface (go to Fermi liquid!) • How to make it more precise • How to go to higher densities and to check various scenarios

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