Keywords

generating function, Molien function, renormalization group, Hamiltonian

Abstract

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 Dorian M. Hatch."A generalized Molien function for field theoretical Hamiltonians." Journal of Mathematical Physics 26 (1985): 1442-1445.

Document Type

Peer-Reviewed Article

Publication Date

1985-07-01

Permanent URL

http://hdl.lib.byu.edu/1877/1233

Publisher

AIP

Language

English

College

Physical and Mathematical Sciences

Department

Physics and Astronomy

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