generating function, Molien function, renormalization group, Hamiltonian
A generating function, or Molien function, the coefficients of which give the number of independent polynomial invariants in G, has been useful in the Landau and renormalization group theories of phase transitions. Here a generalized Molien function for a field theoretical Hamiltonian (with short-range interactions) of the most general form invariant in a group G is derived. This form is useful for more general renormalization group calculations. Its Taylor series is calculated to low order for the FGamma-2 representation of the space group R[3 bar]c and also for the l=1 (faithful) representation of SO(3).
Original Publication Citation
Felix, Jeffrey W. and DorianÂ M. Hatch."A generalized Molien function for field theoretical Hamiltonians." Journal of Mathematical Physics 26 (1985): 1442-1445.
BYU ScholarsArchive Citation
Felix, Jeffrey W. and Hatch, Dorian M., "A generalized Molien function for field theoretical Hamiltonians" (1985). All Faculty Publications. 755.
Physical and Mathematical Sciences
Physics and Astronomy
© 1985 American Institue of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Journal of Mathematical Physics and may be found at http://link.aip.org/link/?JMAPAQ/26/1442/1
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