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Journal of high energy physics >
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http://hdl.handle.net/2241/117002
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| Title: | Revisiting symmetries of lattice fermions via spin-flavor representation |
| Authors: | Kimura, Taro
Komatsu, Shota
Misumi, Tatsuhiro
Noumi, Toshifumi
Torii, Shingo
Aoki, Sinya
青木, 愼也 |
| Issue Date: | Jan-2012 |
| Publisher: | Springer |
| Journal Title: | Journal of high energy physics |
| Volume: | 2012 |
| Issue: | 1 |
| Start Page: | 048 |
| DOI: | 10.1007/JHEP01(2012)048 |
| Abstract: | Employing the spin-flavor representation, we investigate the structures of the doubler-mixing symmetries and the mechanisms of their spontaneous breakdown in four types of lattice fermion formulation. We first revisit the U(4) × U(4) symmetries of the naive fermion with the vanishing bare mass m, and re-express them in terms of the spinflavor representation. We apply the same method to the Wilson fermion, which possesses only the U(1) vector symmetry for general values of m. For a special value of m, however, there emerges an additional U(1) symmetry to be broken by pion condensation. We also explore two types of minimally doubled fermion, and discover a similar kind of symmetry enhancement and its spontaneous breakdown. |
| URI: | http://hdl.handle.net/2241/117002 |
| Rights: | © SISSA 2012 The original publication is available at www.springerlink.com |
| Text Version: | author |
| Appears in Collections: | 青木 愼也 (Aoki Sinya)
Journal of high energy physics
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