Elementary Results for the Fundamental Representation of SU(3)

Thomas Curtright, Cosmas K. Zachos

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

A general group element for the fundamental representation of SU(3) can always be expressed as a second order polynomial in a Hermitian generating matrix H, with coefficients consisting of elementary trigonometric functions dependent on the sole invariant det(H), in addition to the group parameter.

Original languageEnglish (US)
Pages (from-to)401-404
Number of pages4
JournalReports on Mathematical Physics
Volume76
Issue number3
DOIs
StatePublished - Dec 1 2015

Fingerprint

trigonometric functions
H-matrix
Elementary Functions
Circular function
polynomials
Polynomial
Invariant
Dependent
Coefficient
coefficients
matrices

Keywords

  • Cayley
  • Cayley-Hamilton
  • Gell-Mann
  • Resolvent
  • SU(3)

ASJC Scopus subject areas

  • Mathematical Physics
  • Statistical and Nonlinear Physics

Cite this

Elementary Results for the Fundamental Representation of SU(3). / Curtright, Thomas; Zachos, Cosmas K.

In: Reports on Mathematical Physics, Vol. 76, No. 3, 01.12.2015, p. 401-404.

Research output: Contribution to journalArticle

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