On the possibility of blue tensor spectrum within single field inflation

Yi Fu Cai; Jinn Ouk Gong; Shi Pi; Emmanuel N. Saridakis; Shang Yu Wu

doi:10.1016/j.nuclphysb.2015.09.025

On the possibility of blue tensor spectrum within single field inflation

Yi Fu Cai, Jinn Ouk Gong, Shi Pi, Emmanuel N. Saridakis, Shang Yu Wu

Department of Science Education

Research output: Contribution to journal › Article › peer-review

34 Scopus citations

Abstract

We present a series of theoretical constraints on the potentially viable inflation models that might yield a blue spectrum for primordial tensor perturbations. By performing a detailed dynamical analysis we show that, while there exists such possibility, the corresponding phase space is strongly bounded. Our result implies that, in order to achieve a blue tilt for inflationary tensor perturbations, one may either construct a non-canonical inflation model delicately, or study the generation of primordial tensor modes beyond the standard scenario of single slow-roll field.

Original language	English
Pages (from-to)	517-532
Number of pages	16
Journal	Nuclear Physics, Section B
Volume	900
DOIs	https://doi.org/10.1016/j.nuclphysb.2015.09.025
State	Published - 1 Nov 2015

Bibliographical note

Funding Information:
We thank Robert Brandenberger, Genly Leon, Jerome Quintin and Yi Wang for useful discussions. YFC thanks the Asia Pacific Center for Theoretical Physics for warmest hospitality during his visit. YFC is supported in part by the Chinese National Youth Thousand Talents Program , by the USTC start-up funding (Grant No. KY2030000049 ), by the Natural Sciences and Engineering Research Council ( NSERC ) of Canada and the Department of Physics at McGill . JG and SP acknowledge the Max-Planck-Gesellschaft , the Korea Ministry of Education, Science and Technology , Gyeongsangbuk-Do and Pohang City for the support of the Independent Junior Research Group at the Asia Pacific Center for Theoretical Physics. They are also supported in part by a Starting Grant through the Basic Science Research Program of the National Research Foundation of Korea ( 2013R1A1A1006701 ). The research of ENS is implemented within the framework of the Operational Program “Education and Lifelong Learning” (Actions Beneficiary: General Secretariat for Research and Technology), and is co-financed by the European Social Fund (ESF) and the Greek State . SYW was supported by Ministry of Science and Technology, Taiwan and the National Center of Theoretical Science in Taiwan .

Publisher Copyright:
© 2015 The Authors.

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10.1016/j.nuclphysb.2015.09.025

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title = "On the possibility of blue tensor spectrum within single field inflation",

abstract = "We present a series of theoretical constraints on the potentially viable inflation models that might yield a blue spectrum for primordial tensor perturbations. By performing a detailed dynamical analysis we show that, while there exists such possibility, the corresponding phase space is strongly bounded. Our result implies that, in order to achieve a blue tilt for inflationary tensor perturbations, one may either construct a non-canonical inflation model delicately, or study the generation of primordial tensor modes beyond the standard scenario of single slow-roll field.",

author = "Cai, {Yi Fu} and Gong, {Jinn Ouk} and Shi Pi and Saridakis, {Emmanuel N.} and Wu, {Shang Yu}",

note = "Funding Information: We thank Robert Brandenberger, Genly Leon, Jerome Quintin and Yi Wang for useful discussions. YFC thanks the Asia Pacific Center for Theoretical Physics for warmest hospitality during his visit. YFC is supported in part by the Chinese National Youth Thousand Talents Program , by the USTC start-up funding (Grant No. KY2030000049 ), by the Natural Sciences and Engineering Research Council ( NSERC ) of Canada and the Department of Physics at McGill . JG and SP acknowledge the Max-Planck-Gesellschaft , the Korea Ministry of Education, Science and Technology , Gyeongsangbuk-Do and Pohang City for the support of the Independent Junior Research Group at the Asia Pacific Center for Theoretical Physics. They are also supported in part by a Starting Grant through the Basic Science Research Program of the National Research Foundation of Korea ( 2013R1A1A1006701 ). The research of ENS is implemented within the framework of the Operational Program “Education and Lifelong Learning” (Actions Beneficiary: General Secretariat for Research and Technology), and is co-financed by the European Social Fund (ESF) and the Greek State . SYW was supported by Ministry of Science and Technology, Taiwan and the National Center of Theoretical Science in Taiwan . Publisher Copyright: {\textcopyright} 2015 The Authors.",

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AU - Saridakis, Emmanuel N.

AU - Wu, Shang Yu

N1 - Funding Information: We thank Robert Brandenberger, Genly Leon, Jerome Quintin and Yi Wang for useful discussions. YFC thanks the Asia Pacific Center for Theoretical Physics for warmest hospitality during his visit. YFC is supported in part by the Chinese National Youth Thousand Talents Program , by the USTC start-up funding (Grant No. KY2030000049 ), by the Natural Sciences and Engineering Research Council ( NSERC ) of Canada and the Department of Physics at McGill . JG and SP acknowledge the Max-Planck-Gesellschaft , the Korea Ministry of Education, Science and Technology , Gyeongsangbuk-Do and Pohang City for the support of the Independent Junior Research Group at the Asia Pacific Center for Theoretical Physics. They are also supported in part by a Starting Grant through the Basic Science Research Program of the National Research Foundation of Korea ( 2013R1A1A1006701 ). The research of ENS is implemented within the framework of the Operational Program “Education and Lifelong Learning” (Actions Beneficiary: General Secretariat for Research and Technology), and is co-financed by the European Social Fund (ESF) and the Greek State . SYW was supported by Ministry of Science and Technology, Taiwan and the National Center of Theoretical Science in Taiwan . Publisher Copyright: © 2015 The Authors.

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N2 - We present a series of theoretical constraints on the potentially viable inflation models that might yield a blue spectrum for primordial tensor perturbations. By performing a detailed dynamical analysis we show that, while there exists such possibility, the corresponding phase space is strongly bounded. Our result implies that, in order to achieve a blue tilt for inflationary tensor perturbations, one may either construct a non-canonical inflation model delicately, or study the generation of primordial tensor modes beyond the standard scenario of single slow-roll field.

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On the possibility of blue tensor spectrum within single field inflation

Abstract

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