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  • 标题:Low-lying spectrum for lattice Dirac operators with twisted mass
  • 本地全文:下载
  • 作者:C. Gattringer ; S. Solbrig
  • 期刊名称:PoS - Proceedings of Science
  • 印刷版ISSN:1824-8039
  • 出版年度:2005
  • 卷号:2005
  • 出版社:SISSA, Scuola Internazionale Superiore di Studi Avanzati
  • 摘要:We analyze the low-lying spectrum and eigenmodes of lattice Dirac operators with a twisted mass term. The twist term expels the eigenvalues from a strip in the complex plane and all eigenmodes obtain a non-vanishing matrix element with g5. For a twisted Ginsparg-Wilson operator the spectrum is located on two arcs in the complex plane. Modes due to non-trivial topological charge of the underlying gauge eld have their eigenvalues at the edges of these arcs and obey a remnant index theorem. For congurations in the conned phase we nd that the twist mainly affects the zero modes, while the bulk of the spectrum is essentially unchanged.
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