Broken Symmetries from Minimally Doubled Fermions

Details Broken Symmetries from Minimally Doubled Fermions Broken Symmetries from Minimally Doubled Fermions

2008-01-22

arxiv.org/abs/0801.3361v3

Phys.Lett.B662:449-455,2008

Physics

High Energy Physics

High Energy Physics - Lattice

13 pages, 3 figures, published version, analysis reorganized and condensed

Scientific paper

10.1016/j.physletb.2008.03.034

Novel chirally symmetric fermion actions containing the minimum amount of fermion doubling have been recently proposed in the literature. We study the symmetries and renormalization of these actions and find that in each case, discrete symmetries, such as parity and time-reversal, are explicitly broken. Consequently, when the gauge interactions are included, these theories radiatively generate relevant and marginal operators. Thus the restoration of these symmetries and the approach to the continuum limit require the fine-tuning of several parameters. With some assumptions, we show that this behavior is unavoidable for actions displaying minimal fermion doubling.

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