On the Doubling Phenomenon in Lattice Chern-Simons Theories

Details On the Doubling Phenomenon in Lattice Chern-Simons Theories On the Doubling Phenomenon in Lattice Chern-Simons Theories

2000-11-10

arxiv.org/abs/hep-lat/0011052v1

Nucl.Phys.Proc.Suppl. 94 (2001) 657-660

Physics

High Energy Physics

High Energy Physics - Lattice

Lattice 2000, 4 pages, Latex

Scientific paper

10.1016/S0920-5632(01)01004-0

We analyse the pure Chern-Simons theory on an Euclidean infinite lattice. We point out that, as a consequence of its symmetries, the Chern-Simons theory does not have an integrable kernel. Due to the linearity of the action in the derivatives, the situation is very similar to the one arising in the lattice formulation of fermionic theories. Doubling of bosonic degrees of freedom is removed by adding a Maxwell term with a mechanism similar to the one proposed by Wilson for fermionic models.

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