@article{597fd4221d7b4508ac0148793be0bf06,

title = "Tree-level unitarity and renormalizability in Lifshitz scalar theory",

abstract = "We study unitarity and renormalizability in the Lifshitz scalar field theory, which is characterized by an anisotropic scaling between the space and time directions.Without the Lorentz symmetry, both the unitarity and the renormalizability conditions are modified from those in relativistic theories. We show that for renormalizability, an extended version of the power-counting condition is required in addition to the conventional one. The unitarity bound for S-matrix elements also gives stronger constraints on interaction terms because of the reference frame dependence of scattering amplitudes. We prove that both unitarity and renormalizability require identical conditions as in the case of conventional relativistic theories.",

author = "Toshiaki Fujimori and Takeo Inami and Keisuke Izumi and Tomotaka Kitamura",

note = "Funding Information: The work of T. F. is supported in part by the Japan Society for the Promotion of Science (JSPS) Grant-in-Aid for Scientific Research (KAKENHI Grant No. 25400268) and by the MEXT-Supported Program for the Strategic Research Foundation at Private Universities “Topological Science” (Grant No. S1511006). The work of K. I. is funded by FPA2013-46570-C2-2-P, AGAUR 2009-SGR-168, and MDM-2014-0369 of ICCUB (Unidad de Excelencia “Maria de Maeztu”). T. K. benefitted much from his visits to NTU. He wishes to thank Pei-Ming Ho for the kind support for the visit. He also thanks Kei-ich Maeda for useful discussions. Publisher Copyright: {\textcopyright} The Author(s) 2016.",

year = "2016",

month = jan,

doi = "10.1093/ptep/ptv185",

language = "English",

volume = "2016",

journal = "Progress of Theoretical and Experimental Physics",

issn = "2050-3911",

publisher = "Oxford University Press",

number = "1",

}