1/Degeneracy expansion of collective quantum fields and higher effective actions

  • H. Kleinert
IV. Path Integrals and Monte Carlo Methods
Part of the Lecture Notes in Physics book series (LNP, volume 171)


Partition Function Effective Action Fermi Liquid Collective Field Extremal Principle 
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  1. 1).
    See, for example, C. Itzykson and J.B. Zuber, Quantum Field Theory, McGraw-Hill, New York, 1980.Google Scholar
  2. 2).
    R.P. Feynman and A.R. Hibbs, Quantum Mechanics and Path Integrals, New York, 1965. The extension to fluctuating field theory was first used extensively by S.A. Langer, Ann. Phys. (N.Y.) 41, 108(1967), later by A.A. Belavin, A.M. Polyakov, A.S. Schwartz, and Yu.S. Tyupkin, Phys. Lett. 59B, 85(1975). G. 't Hooft, Phys. Rev. Lett. 37, 8(1976).Google Scholar
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    The coherent state path integrals, advanced by J.P. Blaizot and H. Orland, J. Physique Lett. 41, 531(1980) and Phys. Rev., Urbana preprint, 1981, are in principle capable of including exchange and pairing forces. Their approach is, however, very complicated to handle in practical calculations. See also H. Kuratsuji and T. Suzuki, Phys. Lett. 92B, 19(1980), J. Math. Phys. (N.Y.) 21, 472(1980) and T. Suzuki's lecture at this meeting.Google Scholar
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    This has been of importance in calculating the lifetimes of metastable states I.H. Duru, H. Kleinert, and Y. Ünal, Journ. Low Temp. Phys. 42, 137(1981).Google Scholar
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    For a detailed discussion as well as references to the earlier work see H. Kleinert, Fortschritt. Phys. 30, 187(1982), Phys. Lett. A84, 259 (1981).Google Scholar
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© Springer-Verlag 1982

Authors and Affiliations

  • H. Kleinert
    • 1
  1. 1.Institut für Theoretische PhysikFreie Universität BerlinBerlin 33

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