Scalar two-point functions at the late-time boundary of de Sitter
Abstract We calculate two-point functions of scalar fields of mass m and their conjugate momenta at the late-time boundary of de Sitter with Bunch-Davies boundary conditions, in general d + 1 spacetime dimensions. We perform the calculation using the wavefunction picture and using canonical quantiza...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2024)076 |
| _version_ | 1797276093106880512 |
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| author | Gizem Şengör Constantinos Skordis |
| author_facet | Gizem Şengör Constantinos Skordis |
| author_sort | Gizem Şengör |
| collection | DOAJ |
| description | Abstract We calculate two-point functions of scalar fields of mass m and their conjugate momenta at the late-time boundary of de Sitter with Bunch-Davies boundary conditions, in general d + 1 spacetime dimensions. We perform the calculation using the wavefunction picture and using canonical quantization. With the latter one clearly sees how the late-time field and conjugate momentum operators are linear combinations of the normalized late-time operators α N and β N that correspond to unitary irreducible representations of the de Sitter group with well-defined inner products. The two-point functions resulting from these two different methods are equal and we find that both the autocorrelations of α N and β N and their cross correlations contribute to the late-time field and conjugate momentum two-point functions. This happens both for light scalars m < d 2 H $$ \left(m<\frac{d}{2}H\right) $$ , corresponding to complementary series representations, and heavy scalars m > d 2 H $$ \left(m>\frac{d}{2}H\right) $$ , corresponding to principal series representations of the de Sitter group, where H is the Hubble scale of de Sitter. In the special case m = 0, only the β N autocorrelation contributes to the conjugate momentum two-point function in any dimensions and we gather hints that suggest α N to correspond to discrete series representations for this case at d = 3. |
| first_indexed | 2024-03-07T15:23:23Z |
| format | Article |
| id | doaj.art-f4cb131b01c84023a8a7418798a722e3 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-07T15:23:23Z |
| publishDate | 2024-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-f4cb131b01c84023a8a7418798a722e32024-03-05T17:29:02ZengSpringerOpenJournal of High Energy Physics1029-84792024-02-012024214210.1007/JHEP02(2024)076Scalar two-point functions at the late-time boundary of de SitterGizem Şengör0Constantinos Skordis1CEICO, Institute of Physics of the Czech Academy of SciencesCEICO, Institute of Physics of the Czech Academy of SciencesAbstract We calculate two-point functions of scalar fields of mass m and their conjugate momenta at the late-time boundary of de Sitter with Bunch-Davies boundary conditions, in general d + 1 spacetime dimensions. We perform the calculation using the wavefunction picture and using canonical quantization. With the latter one clearly sees how the late-time field and conjugate momentum operators are linear combinations of the normalized late-time operators α N and β N that correspond to unitary irreducible representations of the de Sitter group with well-defined inner products. The two-point functions resulting from these two different methods are equal and we find that both the autocorrelations of α N and β N and their cross correlations contribute to the late-time field and conjugate momentum two-point functions. This happens both for light scalars m < d 2 H $$ \left(m<\frac{d}{2}H\right) $$ , corresponding to complementary series representations, and heavy scalars m > d 2 H $$ \left(m>\frac{d}{2}H\right) $$ , corresponding to principal series representations of the de Sitter group, where H is the Hubble scale of de Sitter. In the special case m = 0, only the β N autocorrelation contributes to the conjugate momentum two-point function in any dimensions and we gather hints that suggest α N to correspond to discrete series representations for this case at d = 3.https://doi.org/10.1007/JHEP02(2024)076de Sitter spaceSpace-Time SymmetriesEarly Universe Particle Physics |
| spellingShingle | Gizem Şengör Constantinos Skordis Scalar two-point functions at the late-time boundary of de Sitter Journal of High Energy Physics de Sitter space Space-Time Symmetries Early Universe Particle Physics |
| title | Scalar two-point functions at the late-time boundary of de Sitter |
| title_full | Scalar two-point functions at the late-time boundary of de Sitter |
| title_fullStr | Scalar two-point functions at the late-time boundary of de Sitter |
| title_full_unstemmed | Scalar two-point functions at the late-time boundary of de Sitter |
| title_short | Scalar two-point functions at the late-time boundary of de Sitter |
| title_sort | scalar two point functions at the late time boundary of de sitter |
| topic | de Sitter space Space-Time Symmetries Early Universe Particle Physics |
| url | https://doi.org/10.1007/JHEP02(2024)076 |
| work_keys_str_mv | AT gizemsengor scalartwopointfunctionsatthelatetimeboundaryofdesitter AT constantinosskordis scalartwopointfunctionsatthelatetimeboundaryofdesitter |