Hořava gravity with mixed derivative terms
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Published version
Accepted version
Author(s)
Colombo, M
Gumrukcuoglu, AE
Sotiriou, TP
Type
Journal Article
Abstract
Hořava gravity has been constructed so as to exhibit anisotropic scaling in the ultraviolet, as this renders
the theory power-counting renormalizable. However, when coupled to matter, the theory has been shown to
suffer from quadratic divergences. A way to cure these divergences is to add terms with both time and space
derivatives. We consider this extended version of the theory in detail. We perform a perturbative analysis
that includes all modes, determine the propagators and discuss how including mixed-derivative terms
affects them. We also consider the Lifshitz scalar with mixed-derivative terms as a toy model for power
counting arguments and discuss the influence of such terms on renormalizability.
the theory power-counting renormalizable. However, when coupled to matter, the theory has been shown to
suffer from quadratic divergences. A way to cure these divergences is to add terms with both time and space
derivatives. We consider this extended version of the theory in detail. We perform a perturbative analysis
that includes all modes, determine the propagators and discuss how including mixed-derivative terms
affects them. We also consider the Lifshitz scalar with mixed-derivative terms as a toy model for power
counting arguments and discuss the influence of such terms on renormalizability.
Date Issued
2015-02-12
Date Acceptance
2014-11-11
Citation
Physical Review D, 2015, 91 (4), pp.044021-1-044021-9
ISSN
1550-7998
Publisher
American Physical Society
Start Page
044021-1
End Page
044021-9
Journal / Book Title
Physical Review D
Volume
91
Issue
4
Copyright Statement
© 2015 American Physical Society
Publication Status
Published
