471 research outputs found
Non abelian bosonisation in three dimensional field theory
We develop a method based on the generalised St\"uckelberg prescription for
discussing bosonisation in the low energy regime of the SU(2) massive Thirring
model in 2+1 dimensions. For arbitrary values of the coupling parameter the
bosonised theory is found to be a nonabelian gauge theory whose physical sector
is explicitly obtained. In the case of vanishing coupling this gauge theory can
be identified with the SU(2) Yang-Mills Chern-Simons theory in the limit when
the Yang-Mills term vanishes. Bosonisation identities for the fermionic current
are derived.Comment: Latex version, 14 pages; 23 reference
Introducing elliptic, an R Package for Elliptic and Modular Functions
This paper introduces the elliptic package of R routines, for numerical calculation of elliptic and related functions. Elliptic functions furnish interesting and instructive examples of many ideas of complex analysis, and the package illustrates these numerically and visually. A statistical application in fluid mechanics is presented.
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