Broken symmetries from minimally doubled fermions

DOI10.1016/J.PHYSLETB.2008.03.034zbMATH Open1282.81109arXiv0801.3361OpenAlexW1989904278MaRDI QIDQ2439040

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Publication date: 7 March 2014

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Abstract: 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.

Full work available at URL: https://arxiv.org/abs/0801.3361

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