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Hořava gravity with mixed derivative terms: Power counting renormalizability with lower order dispersions

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1503.07544v2.pdfAccepted version377.19 kBAdobe PDFView/Open
PhysRevD.92.064037.pdfPublished version181.71 kBAdobe PDFView/Open
Title: Hořava gravity with mixed derivative terms: Power counting renormalizability with lower order dispersions
Authors: Colombo, M
Gumrukcuoglu, AE
Sotiriou, TP
Item Type: Journal Article
Abstract: It has been argued that Horava gravity needs to be extended to include terms that mix spatial and time derivatives in order avoid unacceptable violations of Lorentz invariance in the matter sector. In an earlier paper we have shown that including such mixed derivative terms generically leads to 4th instead of 6th order dispersion relations and this could be (naively) interpreted as a threat to renormalizability. We have also argued that power-counting renormalizability is not actually compromised, but instead the simplest power-counting renormalizable model is not unitary. In this paper we consider the Lifshitz scalar as a toy theory and we generalize our analysis to include higher order operators. We show that models which are power-counting renormalizable and unitary do exist. Our results suggest the existence of a new class of theories that can be thought of as Horava gravity with mixed derivative terms.
Issue Date: 22-Sep-2015
Date of Acceptance: 8-Apr-2015
URI: http://hdl.handle.net/10044/1/26604
DOI: https://dx.doi.org/10.1103/PhysRevD.92.064037
ISSN: 1550-7998
Publisher: American Physical Society
Start Page: 064037-1
End Page: 064037-5
Journal / Book Title: Physical Review D
Volume: 92
Issue: 6
Copyright Statement: © 2015 American Physical Society
Publication Status: Published
Appears in Collections:Physics
Theoretical Physics
Faculty of Natural Sciences



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