Functional Integral Representations in Spin Fluctuation Theory: Is There a Right One?

  • R. E. Prange
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 29)


Most discussions of spin fluctuation theory can be formulated in the language of functional integration. A list of the practitioners of this method, just in the present application, would include EVENSON, WANG, and SCHRIEFFER [36]2, CYROT [37], MURATA and DONIACH [38], HERTZ and KLENIN [39], MORIYA and coworkers [40], HASEGAWA [23], HUBBARD [22], and KORENMAN and PRANGE [7]. There are, however, important mathematical problems which are encountered when the method is used. The most serious problem is that there are many possible different representations. Although these are equally exact before approximations are made, they can give very different results after formally identical initial approximations.


Spin Wave Continuous Path Gaussian Field Hartree Approximation Infinite Frequency 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1981

Authors and Affiliations

  • R. E. Prange
    • 1
  1. 1.Department of Physics and Astronomy and Center for Theoretical PhysicsUniversity of MarylandCollege ParkUSA

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