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Phase transitions of charged scalars at finite temperature and chemical potential

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Abstract

We calculate the grand canonical partition function at the one-loop level for scalar quantum electrodynamics at finite temperature and chemical potential. A classical background charge density with a charge opposite that of the scalars ensures the neutrality of the system. For low density systems we find evidence of a first order phase transition. We find upper and lower bounds on the transition temperature below which the charged scalars form a condensate. A first order phase transition may have consequences for helium-core white dwarf stars in which it has been argued that such a condensate of charged helium-4 nuclei could exist.

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References

  1. G. Gabadadze and R.A. Rosen, Charged Condensation, Phys. Lett. B 658 (2008) 266 [arXiv:0706.2304] [SPIRES].

    ADS  Google Scholar 

  2. G. Gabadadze and R.A. Rosen, Charged Condensate and Helium Dwarf Stars, JCAP 10 (2008) 030 [arXiv:0806.3692] [SPIRES].

    Google Scholar 

  3. G. Gabadadze and R.A. Rosen, Effective Lagrangian and Quantum Screening in Charged Condensate, JCAP 02 (2009) 016 [arXiv:0811.4423] [SPIRES].

    ADS  Google Scholar 

  4. G. Gabadadze and R.A. Rosen, Vortex Structure in Charged Condensate, JHEP 07 (2009) 093 [arXiv:0905.2444] [SPIRES].

    Article  ADS  Google Scholar 

  5. G. Gabadadze and D. Pirtskhalava, Quantum Liquid Signatures in Dwarf Stars, JCAP 05 (2009) 017 [arXiv:0904.4267] [SPIRES].

    ADS  Google Scholar 

  6. L. Berezhiani, G. Gabadadze and D. Pirtskhalava, Field Theory for a Deuteron Quantum Liquid, JHEP 04 (2010) 122 [arXiv:1003.0865] [SPIRES].

    Article  ADS  Google Scholar 

  7. C.W. Bernard, Feynman Rules for Gauge Theories at Finite Temperature, Phys. Rev. D9 (1974) 3312 [SPIRES].

    ADS  Google Scholar 

  8. L.A. Dolan and R. Jackiw, Symmetry Behavior at Finite Temperature, Phys. Rev. D9 (1974) 3320 [SPIRES].

    ADS  Google Scholar 

  9. S. Weinberg, Gauge and Global Symmetries at High Temperature, Phys. Rev. D 9 (1974) 3357 [SPIRES].

    ADS  Google Scholar 

  10. J.I. Kapusta and C. Gale, Finite-temperature field theory: Principles and applications, Cambridge University Press, Cambridge U.K. (2006) [SPIRES].

    Book  MATH  Google Scholar 

  11. D.A. Kirzhnits and A.D. Linde, Symmetry Behavior in Gauge Theories, Ann. Phys. 101 (1976) 195 [SPIRES].

    Article  ADS  Google Scholar 

  12. A.D. Linde, High Density and High Temperature Symmetry Behavior in Gauge Theories, Phys. Rev. D 14 (1976) 3345 [SPIRES].

    ADS  Google Scholar 

  13. J.I. Kapusta, Bose-Einstein Condensation, Spontaneous Symmetry Breaking and Gauge Theories, Phys. Rev. D 24 (1981) 426 [SPIRES].

    ADS  Google Scholar 

  14. H.E. Haber and H.A. Weldon, Finite Temperature Symmetry Breaking as Bose-Einstein Condensation, Phys. Rev. D 25 (1982) 502 [SPIRES].

    ADS  Google Scholar 

  15. K.M. Benson, J. Bernstein and S. Dodelson, Phase structure and the effective potential at fixed charge, Phys. Rev. D 44 (1991) 2480 [SPIRES].

    ADS  Google Scholar 

  16. A.D. Dolgov, A. Lepidi and G. Piccinelli, Electrodynamics at non-zero temperature, chemical potential and Bose condensate, JCAP 02 (2009) 027 [arXiv:0811.4406] [SPIRES].

    ADS  Google Scholar 

  17. A.D. Dolgov, A. Lepidi and G. Piccinelli, Screening effects in plasma with charged Bose condensate, Phys. Rev. D 80 (2009) 125009 [arXiv:0905.4422] [SPIRES].

    ADS  Google Scholar 

  18. G. Gabadadze and R.A. Rosen, Effective Field Theory for Quantum Liquid in Dwarf Stars, JCAP 04 (2010) 028 [arXiv:0912.5270] [SPIRES].

    ADS  Google Scholar 

  19. G. Gabadadze and R.A. Rosen, Electrodynamic Metanuclei, Phys. Lett. B 666 (2008) 277 [arXiv:0801.0228] [SPIRES].

    ADS  Google Scholar 

  20. T.P. Cheng and L.F. Li, Gauge Theory Of Elementary Particle Physics, Clarendon, Oxford U.K. (1984) [SPIRES].

    Google Scholar 

  21. H.E. Haber and H.A. Weldon, On the relativistic Bose-Einstein integrals, J. Math. Phys. 23 (1982) 1852 [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  22. D.Q. Lamb and H.M. Van Horn, Evolution of crystallizing pure C-12 white dwarfs, Astrophys. J. 200 (1975) 306.

    Article  ADS  Google Scholar 

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Correspondence to Rachel A. Rosen.

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ArXiv ePrint: 1009.0752

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Rosen, R.A. Phase transitions of charged scalars at finite temperature and chemical potential. J. High Energ. Phys. 2010, 24 (2010). https://doi.org/10.1007/JHEP12(2010)024

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  • DOI: https://doi.org/10.1007/JHEP12(2010)024

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