On the Constant-Roll Tachyon Inflation with Large and Small <i>η</i><sub>H</sub>
We study the constant-roll tachyon inflation with large and small <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>η</mi></semantics></math></inline-formula>. In previous studies, only...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-12-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/14/12/2670 |
| _version_ | 1797455156418183168 |
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| author | Qin Fei Waqas Ahmed Zhen-Lai Wang |
| author_facet | Qin Fei Waqas Ahmed Zhen-Lai Wang |
| author_sort | Qin Fei |
| collection | DOAJ |
| description | We study the constant-roll tachyon inflation with large and small <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>η</mi></semantics></math></inline-formula>. In previous studies, only the constant-roll tachyon inflation with small <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>η</mi></semantics></math></inline-formula> is consistent with the observations. We find that the duality between the constant-roll tachyon inflation with large and small <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>η</mi></semantics></math></inline-formula> may exist. The apparent duality suggests that the constant-roll tachyon inflationary model with large <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>η</mi></semantics></math></inline-formula> may also be consistent with the observations. By fitting the spectral tilde <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>n</mi><mi>s</mi></msub></semantics></math></inline-formula> and tensor to scalar ratio <i>r</i>, which is a measure of primordial gravitational waves with the observations, we get small and large <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>η</mi></semantics></math></inline-formula> in this range <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>−</mo><mn>0.01629</mn><mo>≤</mo><msub><mi>η</mi><mi>H</mi></msub><mo>≤</mo><mo>−</mo><mn>0.00079</mn></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>3.00081</mn><mo>≤</mo><msub><mi>η</mi><mi>H</mi></msub><mo>≤</mo><mn>3.01621</mn></mrow></semantics></math></inline-formula> at the 2<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>σ</mi></semantics></math></inline-formula> C.L for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>N</mi><mo>=</mo><mn>60</mn></mrow></semantics></math></inline-formula> efolds. |
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| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T15:47:30Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-32af16541570474da60aea0928d2c6952023-11-24T18:21:07ZengMDPI AGSymmetry2073-89942022-12-011412267010.3390/sym14122670On the Constant-Roll Tachyon Inflation with Large and Small <i>η</i><sub>H</sub>Qin Fei0Waqas Ahmed1Zhen-Lai Wang2School of Mathematics and Physics, Hubei Polytechnic University, Huangshi 435003, ChinaSchool of Mathematics and Physics, Hubei Polytechnic University, Huangshi 435003, ChinaSchool of Mathematics and Physics, Hubei Polytechnic University, Huangshi 435003, ChinaWe study the constant-roll tachyon inflation with large and small <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>η</mi></semantics></math></inline-formula>. In previous studies, only the constant-roll tachyon inflation with small <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>η</mi></semantics></math></inline-formula> is consistent with the observations. We find that the duality between the constant-roll tachyon inflation with large and small <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>η</mi></semantics></math></inline-formula> may exist. The apparent duality suggests that the constant-roll tachyon inflationary model with large <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>η</mi></semantics></math></inline-formula> may also be consistent with the observations. By fitting the spectral tilde <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>n</mi><mi>s</mi></msub></semantics></math></inline-formula> and tensor to scalar ratio <i>r</i>, which is a measure of primordial gravitational waves with the observations, we get small and large <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>η</mi></semantics></math></inline-formula> in this range <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>−</mo><mn>0.01629</mn><mo>≤</mo><msub><mi>η</mi><mi>H</mi></msub><mo>≤</mo><mo>−</mo><mn>0.00079</mn></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>3.00081</mn><mo>≤</mo><msub><mi>η</mi><mi>H</mi></msub><mo>≤</mo><mn>3.01621</mn></mrow></semantics></math></inline-formula> at the 2<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>σ</mi></semantics></math></inline-formula> C.L for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>N</mi><mo>=</mo><mn>60</mn></mrow></semantics></math></inline-formula> efolds.https://www.mdpi.com/2073-8994/14/12/2670ultra-slow-roll inflationcosmological constraintsduality |
| spellingShingle | Qin Fei Waqas Ahmed Zhen-Lai Wang On the Constant-Roll Tachyon Inflation with Large and Small <i>η</i><sub>H</sub> Symmetry ultra-slow-roll inflation cosmological constraints duality |
| title | On the Constant-Roll Tachyon Inflation with Large and Small <i>η</i><sub>H</sub> |
| title_full | On the Constant-Roll Tachyon Inflation with Large and Small <i>η</i><sub>H</sub> |
| title_fullStr | On the Constant-Roll Tachyon Inflation with Large and Small <i>η</i><sub>H</sub> |
| title_full_unstemmed | On the Constant-Roll Tachyon Inflation with Large and Small <i>η</i><sub>H</sub> |
| title_short | On the Constant-Roll Tachyon Inflation with Large and Small <i>η</i><sub>H</sub> |
| title_sort | on the constant roll tachyon inflation with large and small i η i sub h sub |
| topic | ultra-slow-roll inflation cosmological constraints duality |
| url | https://www.mdpi.com/2073-8994/14/12/2670 |
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