241 citations · 1.1k across the 60 of their papers we have counts for
60 papers
A Compact Formula for Rotations as Spin Matrix Polynomials
Thomas L. Curtright, David B. Fairlie, Cosmas K. Zachos
Group elements of SU(2) are expressed in closed form as finite polynomials of the Lie algebra generators, for all definite spin representations of the rotation group. The simple ex…
A Galileon Primer
Thomas L. Curtright, David B. Fairlie, Hassan Alshal
Elementary features of galileon models are discussed at an introductory level. Following a simple example, a general formalism leading to a hierarchy of field equations and Lagrang…
Geons of Galileons
Thomas L. Curtright, David B. Fairlie
We suggest that galileon theories should have an additional self-coupling of the fields to the trace of their own energy-momentum tensor. We explore the classical features of one s…
Series solution of the 1+2 continuous Toda Chain
D. B. Fairlie, A. N. Leznov, R. Torres-Cordoba
A way to obtain the series solutions of the 1 + 2 dimensional continuous Toda chain is presented.
Comments on Galileons
David Fairlie
The recent progress in the study of Galileons, i.e. equations of second order with an action invariant under a Galilean transformation is related to work on `Universal Field Equati…
Necessary conditions for Ternary Algebras
David B. Fairlie, Jean Nuyts
Ternary algebras, constructed from ternary commutators, or as we call them, ternutators, defined as the alternating sum of products of three operators, have been shown to satisfy c…