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Effects of parity violation on non-gaussianity of primordial gravitational waves in Ho\v{r}ava-Lifshitz gravity
- Source :
- Phys. Rev. D88, 063508 (2013)
- Publication Year :
- 2013
-
Abstract
- In this paper, we study the effects of parity violation on non-gaussianities of primordial gravitational waves in the framework of Ho\v{r}ava-Lifshitz theory of gravity, in which high-order spatial derivative operators, including the ones violating parity, generically appear. By calculating the three point function, we find that the leading-order contributions to the non-gaussianities come from the usual second-order derivative terms, which produce the same bispectrum as that found in general relativity. The contributions from high-order spatial n-th derivative terms are always suppressed by a factor $(H/M_*)^{n-2} \; (n \ge 3)$, where $H$ denotes the inflationary energy and $M_*$ the suppression mass scale of the high-order spatial derivative operators of the theory. Therefore, the next leading-order contributions come from the 3-dimensional gravitational Chern-Simons term. With some reasonable arguments, it is shown that this 3-dimensional operator is the only one that violates the parity and in the meantime has non-vanishing contributions to non-gaussianities.<br />Comment: Revtex4, six figures
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. D88, 063508 (2013)
- Publication Type :
- Report
- Accession number :
- edsarx.1305.0600
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevD.88.063508