Research output: Contribution to journal › Article

539 KB, PDF document

Journal | Physical Review D |
---|---|

Date | Accepted/In press - 16 May 2016 |

Date | Published (current) - 2 Jun 2016 |

Volume | 93 |

Number of pages | 30 |

Pages (from-to) | 1-30 |

Original language | English |

We construct the graviton two-point function for a two-parameter family of

linear covariant gauges in n-dimensional de Sitter space. The construction is

performed via the mode-sum method in the Bunch-Davies vacuum in the

Poincare patch, and a Fierz-Pauli mass term is introduced to regularize the infrared (IR) divergences. The resulting two-point function is de Sitter-invariant, and free of IR divergences in the massless limit (for a certain range of parameters) though analytic continuation with respect to the mass for the pure-gauge sector of the two-point function is necessary for this result. This general result agrees with the propagator obtained by analytic continuation from the sphere [Phys. Rev. D 34, 3670 (1986); Class. Quant. Grav. 18, 4317 (2001)].

However, if one starts with strictly zero mass theory, the IR divergences are

absent only for a specific value of one of the two parameters, with the other

parameter left generic. These findings agree with recent calculations in the

Landau (exact) gauge [J. Math. Phys. 53, 122502 (2012)], where IR

divergences do appear in the spin-two (tensor) part of the two-point function.

However, we find the strength (including the sign) of the IR divergence to be different from the one found in this reference.

linear covariant gauges in n-dimensional de Sitter space. The construction is

performed via the mode-sum method in the Bunch-Davies vacuum in the

Poincare patch, and a Fierz-Pauli mass term is introduced to regularize the infrared (IR) divergences. The resulting two-point function is de Sitter-invariant, and free of IR divergences in the massless limit (for a certain range of parameters) though analytic continuation with respect to the mass for the pure-gauge sector of the two-point function is necessary for this result. This general result agrees with the propagator obtained by analytic continuation from the sphere [Phys. Rev. D 34, 3670 (1986); Class. Quant. Grav. 18, 4317 (2001)].

However, if one starts with strictly zero mass theory, the IR divergences are

absent only for a specific value of one of the two parameters, with the other

parameter left generic. These findings agree with recent calculations in the

Landau (exact) gauge [J. Math. Phys. 53, 122502 (2012)], where IR

divergences do appear in the spin-two (tensor) part of the two-point function.

However, we find the strength (including the sign) of the IR divergence to be different from the one found in this reference.

© 2016 American Physical Society. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details.

## William Couto Correa de Lima

Activity: Hosting a visitor › Academic

Find related publications, people, projects, datasets and more using interactive charts.