1. EoS of quark matter and structure of compact stars G. X. Peng University of Chinese Academy of Sciences Institute of High Energy Physics (UCAS/IHEP) Quarks and compact stars ， 2014.10.20-22

2. Sunset view of UCAS

3. Nearby-APEC2014

4. gxpeng@gucas.ac.cn, penggx@nsfc.gov.cn 1 、 Introduction 2 、 EoS of quark matter 3 、 M-R of compact stars 4 、 Summary EoS of quark matter and structure of compact stars G.X. Peng @ UCAS/IHEP Ref.: [1] Xia & Peng et al. Phys. Rev. D 89 (2014) 105027. [2] J.F.Xu, Peng et al. Sci. Chin. Phys. Mech. Astron. 2014. [3] G.X. Peng et al. Phys. Rev. C 77 (2008) 065807. Quarks and compact stars ， 2014.10.20-22

5. gxpeng@gucas.ac.cn, penggx@nsfc.gov.cn Quarks and compact stars Quarks and compact stars ， 2014.10.20-22

6. gxpeng@gucas.ac.cn, penggx@nsfc.gov.cn Modern physics and QCD Quarks and compact stars ， 2014.10.20-22 Asymptotic Freedom Quark Confinement Chiral symmetry

7. gxpeng@gucas.ac.cn, penggx@nsfc.gov.cn Effective masses in physics RMF: NJL: NMB: Walecka 1995 NPA513:667 QMD: IJMPE06:515 …… Quarks and compact stars ， 2014.10.20-22

8. gxpeng@gucas.ac.cn, penggx@nsfc.gov.cn Free-particle system Quarks and compact stars ， 2014.10.20-22

9. gxpeng@gucas.ac.cn, penggx@nsfc.gov.cn The equivalent mass m(n) - density dependent Z. Phys. C 9:271 PLB229:112 EPL56 (2001) 361; PRC67:015202 PRC61:015201 62: 025801 PRC72: 015204 Quarks and compact stuars ， 2014.10.20-22 ApJ 780: 135

10. gxpeng@gucas.ac.cn, penggx@nsfc.gov.cn Scaling with both confinement & perturbative interaction Ref: Xia, Peng, et al, PRD89 (Oct. 2014) 100527 Quarks and compact stuars ， 2014.10.20-22 “The structure of compact stars with a new quark mass scaling” ---Xia C J, 22 Oct. 2014 @quarks and compact stars

11. gxpeng@gucas.ac.cn, penggx@nsfc.gov.cn Confinement by the density dependence Quarks and compact stars ， 2014.10.20-22

12. gxpeng@gucas.ac.cn, penggx@nsfc.gov.cn Thermodynamics with equivalent masses ZPC9(1981)271; PLB229(1989)112 PRD51(1995)1989; 52:1276 PRC62(2000)025801; 72(2005)015204 77(2008)065807; PRD89(2014)105027 PRC62(2000)15204 PRC77(2008) 055204 3 5 1 4 2 Quarks and compact stars ， 2014.10.20-22

13. Inconsistency in the previous PRD 51(‘95)1989 Quarks and compact stars ， 2014.10.20-22

14. gxpeng@gucas.ac.cn, penggx@nsfc.gov.cn Necessary condition for thermodynamic consistency Quarks and compact stars ， 2014.10.20-22

15. gxpeng@gucas.ac.cn, penggx@nsfc.gov.cn Necessary condition for thermodynamic consistency Path-independency Pressure ballence Specially ， the pressure must be zero at the (free-)energy minimum Quarks and compact stars ， 2014.10.20-22

16. gxpeng@gucas.ac.cn, penggx@nsfc.gov.cn Numerical check Quarks and compact stuars ， 2014.10.20-22

17. gxpeng@gucas.ac.cn, penggx@nsfc.gov.cn Numerical check Quarks and compact stuars ， 2014.10.20-22

18. M-R relation in the equiv-particle model Quarks and compact stuars ， 2014.10.20-22

19. 宇宙的不同层次 Perturbatiion model with running coupling, mass, and confnement Thermodynamic potential at leading order in the modified minimum-subtraction scheme

20. Running coupling and running quark mass

21. Perturbation thermo. potential and density

22. Thermo. exptrapolation by an additional term

23. Determine the additional term by thermodynamic consistency

24. At the first-order level

26. Determine the RG scale For 2-flavors:

27. Range of the parameters

28. M-R of compact stars

29. Summary We study the M-R relation of compact stars considering both perturbation confinement interactions. For parameters With which SQM is absolutely stable, the maximum mass of quark stars can be about two time the solar mass.

30. A poem to the conference There are compact body in the remote sky. They are fascinlating and so high … Oh, one doesn’t know what they really are, but we can measure the M and R to explore a neutron or quark star. That’s why we are happily here, discussing models and observational data G.X.Peng, 21 Oct. 2014

31. Congradulations on Quarks & Conpact Stars