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Renormalization Group and Fermi Liquid Theory for Many-Nucleon Systems

  • Bengt Friman
  • Kai Hebeler
  • Achim Schwenk
Part of the Lecture Notes in Physics book series (LNP, volume 852)

Abstract

We discuss renormalization group approaches to strongly interacting Fermi systems, in the context of Landau’s theory of Fermi liquids and functional methods, and their application to neutron matter.

Keywords

Renormalization Group Fermi Surface Dyson Equation Neutron Matter Renormalization Group Approach 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgments

This work was supported in part by NSERC and by the Alliance Program of the Helmholtz Association (HA216/EMMI).

References

  1. 1.
    Shankar, R.: Rev. Mod. Phys. 66, 129 (1994)MathSciNetADSCrossRefGoogle Scholar
  2. 2.
    Harvey, J., Polchinski, J. (eds.): Proceedings of the 1992 Theoretical Advanced Studies Institute in Elementary Particle Physics. World Scientific, Singapore (1993). hep-th/9210046Google Scholar
  3. 3.
    Gies, H.: Lectures in this Volume. hep-ph/0611146Google Scholar
  4. 4.
    Metzner, W., Salmhofer, M., Honerkamp, C., Meden, V., Schönhammer, K.: arXiv:1105.5289Google Scholar
  5. 5.
    Landau, L.D.: Sov. Phys. JETP 3, 920 (1957)zbMATHGoogle Scholar
  6. 6.
    Landau, L.D.: Sov. Phys. JETP 5, 101 (1957)zbMATHGoogle Scholar
  7. 7.
    Landau, L.D.: Sov. Phys. JETP 8, 70 (1959)Google Scholar
  8. 8.
    Larkin, A., Migdal, A.B.: Sov. Phys. JETP 17, 1146 (1963)Google Scholar
  9. 9.
    Leggett, A.J.: Phys. Rev. A 140, 1869 (1965); ibid. 147, 119 (1966)Google Scholar
  10. 10.
    Baym, G., Pethick, C.J.: Landau Fermi Liquid Theory: Concepts and Applications. Wiley, New York (1991)CrossRefGoogle Scholar
  11. 11.
    Migdal, A.B.: Theory of Finite Fermi Systems and Applications to Atomic Nuclei. Interscience, New York (1967)Google Scholar
  12. 12.
    Bäckman, S.-O., Brown, G.E., Niskanen, J.: Phys. Rept. 124, 1 (1985)ADSCrossRefGoogle Scholar
  13. 13.
    Schwenk, A., Friman, B.: Phys. Rev. Lett. 92, 082501 (2004)ADSCrossRefGoogle Scholar
  14. 14.
    Pomeranchuk, I.Y.: Sov. Phys. JETP 8, 361 (1959)Google Scholar
  15. 15.
    Pines, D., Nozières, P.: The Theory of Quantum Liquids, vol. 1, Advanced Book Classics. Westview Press, Boulder (1999)Google Scholar
  16. 16.
    Vollhardt, D., Wölfle, P.: The Superfluid Phases of Helium 3. Taylor and Francis, London (1990)Google Scholar
  17. 17.
    Bogner, S.K., Kuo, T.T.S., Schwenk, A.: Phys. Rept. 386, 1 (2003); Bogner, S.K., Furnstahl, R.J., Schwenk, A.: Prog. Part. Nucl. Phys. 65, 94 (2010)Google Scholar
  18. 18.
    Schwenk, A., Friman, B., Brown, G.E.: Nucl. Phys. A 713, 191 (2003)ADSzbMATHCrossRefGoogle Scholar
  19. 19.
    Schwenk, A., Brown, G.E., Friman, B.: Nucl. Phys. A 703, 745 (2002)ADSCrossRefGoogle Scholar
  20. 20.
    Kaiser, N.: Nucl. Phys. A 768, 99 (2006); Holt, J.W., Kaiser, N., Weise, W.: Nucl. Phys. A 870871, 1 (2011)Google Scholar
  21. 21.
    Epelbaum, E., Hammer, H.-W., Meißner, U.-G.: Rev. Mod. Phys. 81, 1773 (2009)ADSCrossRefGoogle Scholar
  22. 22.
    Bogner, S.K., Schwenk, A., Furnstahl, R.J., Nogga, A.: Nucl. Phys. A 763, 59 (2005); Hebeler, K., Schwenk, A.: Phys. Rev. C 82, 014314 (2010); Hebeler, K., Bogner, S.K., Furnstahl, R.J., Nogga, A., Schwenk, A.: Phys. Rev. C 83, 031301(R) (2011)Google Scholar
  23. 23.
    Otsuka, T., Suzuki, T., Holt, J.D., Schwenk, A., Akaishi, Y.: Phys. Rev. Lett. 105, 032501 (2010); Holt, J.D., Otsuka, T., Schwenk, A., Suzuki, T.: arXiv:1009.5984Google Scholar
  24. 24.
    Pethick, C.J.: In: Mahantappa, K.T., Brittin, W.E. (eds.) Lectures in Theoretical Physics, vol. XI-B, Boulder, Colorado, 1968, p. 187. Gordon and Breach, New York (1969)Google Scholar
  25. 25.
    Fetter, A.L., Walecka, J.D.: Quantum Theory of Many-Particle Systems. Dover, New York (2003)Google Scholar
  26. 26.
    Abrikosov, A.A., Gor’kov, L.P., Dzyaloshinski, I.E.: Methods of Quantum Field Theory in Statistical Physics. Dover, New York (1963)zbMATHGoogle Scholar
  27. 27.
    Negele, J.W., Orland, H.: Quantum Many-Particle Systems: Advanced Book Classics. Westview Press, Boulder (1998)Google Scholar
  28. 28.
    Altland, A., Simons, B.: Condensed Matter Field Theory. Cambridge University Press, Cambridge (2007)Google Scholar
  29. 29.
    Abrikosov, A.A., Khalatnikov, I.M.: Rept. Prog. Phys. 22, 329 (1959)ADSCrossRefGoogle Scholar
  30. 30.
    Bäckman, S.-O., Sjöberg, O., Jackson, A.D.: Nucl. Phys. A 321, 10 (1979)ADSCrossRefGoogle Scholar
  31. 31.
    Friman, B.L., Dhar, A.K.: Phys. Lett. B 85, 1 (1979)ADSCrossRefGoogle Scholar
  32. 32.
    Cornwall, J.M., Jackiw, R., Tomboulis, E.: Phys. Rev. D 10, 2428 (1974)ADSzbMATHCrossRefGoogle Scholar
  33. 33.
    Luttinger, J.M., Ward, J.C.: Phys. Rev. 118, 1417 (1960)MathSciNetADSzbMATHCrossRefGoogle Scholar
  34. 34.
    Baym, G.: Phys. Rev. 127, 1391 (1962)MathSciNetADSzbMATHCrossRefGoogle Scholar
  35. 35.
    Wetterich, C.: Phys. Rev. B 75, 085102 (2007)ADSCrossRefGoogle Scholar
  36. 36.
    Nozières, P.: Theory of Interacting Fermi Systems. Westview Press, Boulder (1997)Google Scholar
  37. 37.
    Babu, S., Brown, G.E.: Ann. Phys. 78, 1 (1973)ADSCrossRefGoogle Scholar
  38. 38.
    Wetterich, C.: Phys. Lett. B 301, 90 (1993)ADSCrossRefGoogle Scholar
  39. 39.
    Berges, J., Tetradis, N., Wetterich, C.: Phys. Rept. 363, 223 (2002)MathSciNetADSzbMATHCrossRefGoogle Scholar
  40. 40.
    Dupuis, N.: Eur. Phys. J. B 48, 319 (2005)ADSCrossRefGoogle Scholar
  41. 41.
    Hebeler, K.: PhD Thesis, Technische Universität Darmstadt (2007)Google Scholar
  42. 42.
    Morris, T.M.: Nucl. Phys. B 458, 477 (1996)ADSCrossRefGoogle Scholar
  43. 43.
    Ellwanger, U.: Z. Physik C 62, 503 (1994)ADSCrossRefGoogle Scholar
  44. 44.
    Bogner, S.K., Furnstahl, R.J., Ramanan, S., Schwenk, A.: Nucl. Phys. A 773, 203 (2006); Ramanan, S., Bogner, S.K., Furnstahl, R.J.: Nucl. Phys. A 797, 81 (2007)Google Scholar
  45. 45.
    Ainsworth, T.L., Wambach, J., Pines, D.: Phys. Lett. B 222, 173 (1989)ADSCrossRefGoogle Scholar
  46. 46.
    Wambach, J., Ainsworth, T.L., Pines, D.: Nucl. Phys. A 555, 128 (1993)ADSCrossRefGoogle Scholar
  47. 47.
    Bäckman, S.-O., Källman, C.-G., Sjöberg, O.: Phys. Lett. B 43, 263 (1973)ADSGoogle Scholar
  48. 48.
    Jackson, A.D., Krotschek, E., Meltzer, D.E., Smith, R.A.: Nucl. Phys. A 386, 125 (1982)ADSCrossRefGoogle Scholar
  49. 49.
    Cao, L.G., Lombardo, U., Schuck, P.: Phys. Rev. C 74, 064301 (2006)ADSCrossRefGoogle Scholar
  50. 50.
    Yakovlev, D.G., Pethick, C.J.: Annu. Rev. Astron. Astrophys. 42, 169 (2004); Blaschke, D., Grigorian, H., Voskresensky, D.N.: Astron. Astrophys. 424, 979 (2004); Page, D., Lattimer, J.M., Prakash, M., Steiner, A.W.: Astrophys. J. Suppl. 155, 623 (2004)Google Scholar
  51. 51.
    Cackett, E.M., Wijnands, R., Linares, M., Miller, J.M., Homan, J., Lewin, W.: Mon. Not. Roy. Astron. Soc. 372, 479 (2006); Cackett, E.M., Wijnands, R., Miller, J.M., Brown, E.F., Degenaar, N.: Astrophys. J. 687, L87 (2008); Brown, E.F., Cumming, A.: Astrophys. J. 698, 1020 (2009)Google Scholar
  52. 52.
    Lesinski, T., Duguet, T., Bennaceur, K.,Meyer, J.: Eur. Phys. J. A 40, 121 (2009); Hebeler, K., Duguet, T., Lesinski, T., Schwenk, A.: Phys. Rev. C 80, 044321 (2009); Lesinski, T., Hebeler, K., Duguet, T., Schwenk, A.: J. Phys. G 39, 015108 (2012)Google Scholar
  53. 53.
    Hebeler, K., Schwenk, A., Friman, B.: Phys. Lett. B 648, 176 (2007)ADSCrossRefGoogle Scholar
  54. 54.
    Baldo, M., Elgaroy, O., Engvik, L., Hjorth-Jensen, M., Schulze, H.-J.: Phys. Rev. C 58, 1921 (1998)ADSCrossRefGoogle Scholar
  55. 55.
    Gezerlis, A., Carlson, J.: Phys. Rev. C 81, 025803 (2010)ADSCrossRefGoogle Scholar
  56. 56.
    Gorkov, L.P., Melik-Barkhudarov, T.K.: Sov. Phys. JETP 13, 1018 (1961); Heiselberg, H., Pethick, C.J., Smith, H., Viverit, L.: Phys. Rev. Lett. 85, 2418 (2000)Google Scholar
  57. 57.
    Barranco, F., Broglia, R.A., Colo, G., Gori, G., Vigezzi, E., Bortignon, P.F.: Eur. Phys. J. A 21, 57 (2004); Pastore, A., Barranco, F., Broglia, R.A., Vigezzi, E.: Phys. Rev. C 78, 024315 (2008)Google Scholar
  58. 58.
    Schwenk, A., Pethick, C.J.: Phys. Rev. Lett. 95, 160401 (2005)ADSCrossRefGoogle Scholar
  59. 59.
    Page, D., Prakash, M., Lattimer, J.M., Steiner, A.W.: Phys. Rev. Lett. 106, 081101 (2011); Shternin, P.S., Yakovlev, D.G., Heinke, C.O., Ho, W.C.G., Patnaude, D.J.: Mon. Not. Roy. Astron. Soc. 412, L108 (2011)Google Scholar
  60. 60.
    Glazek, S.D., Wilson, K.G.: Phys. Rev. D 48, 5863 (1993); Wegner, F.: Ann. Phys. (Leipzig) 3, 77 (1994)Google Scholar
  61. 61.
    Bogner, S.K., Furnstahl, R.J., Perry, R.J.: Phys. Rev. C 75, 061001(R) (2007)Google Scholar
  62. 62.
    Tsukiyama, K., Bogner, S.K., Schwenk, A.: Phys. Rev. Lett. 106, 222502 (2011)ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Theory DivisionGSI Helmholtzzentrum für Schwerionenforschung GmbHDarmstadtGermany
  2. 2.TRIUMFVancouverCanada
  3. 3.Department of PhysicsThe Ohio State UniversityColumbusUSA
  4. 4.ExtreMe Matter Institute EMMIGSI Helmholtzzentrum für Schwerionenforschung GmbHDarmstadtGermany
  5. 5.Institut für KernphysikTechnische Universität DarmstadtDarmstadtGermany

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