Quantum Fine-Tuning in Stringy Quintessence Models

Bibliographic Details
Title: Quantum Fine-Tuning in Stringy Quintessence Models
Authors: Hertzberg, Mark P., Sandora, McCullen, Trodden, Mark
Source: Phys. Lett. B 797 (2019)
Publication Year: 2018
Collection: Astrophysics
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
High Energy Physics - Theory
Subject Terms: High Energy Physics - Theory, Astrophysics - Cosmology and Nongalactic Astrophysics, General Relativity and Quantum Cosmology, High Energy Physics - Phenomenology
More Details: We investigate the extent to which quintessence models for dark energy are fine-tuned in the context of recent swampland conjectures. In particular, the issue is whether there is a double fine-tuning in which both $V$ and $|\nabla V|$ are fine-tuned, or whether there is only a single fine-tuning due to the relation $|\nabla V|\sim V/M_{pl}$ arising naturally. We find that indeed this relation arises naturally in simple string compactifications for some scalars, such as the dilaton and volume modulus, when treated classically. However, we find that quantum effects can spoil this natural relation, unless the scalar is conformally coupled to the matter sector. Furthermore, it is well known that such conformal couplings are generically ruled out by fifth force tests. To avoid these fifth forces, an interesting proposal is to assume the scalar (quintessence) only couples to the hidden sector. However, we then find quantum corrections to $V$ from visible sector Standard Model particles generically spoil the relation. A possible way out of all these problems is to have the scalar conformally coupled to a dark sector that is an exact copy of the Standard Model. This ensures the relation $|\nabla V|\sim V/M_{pl}$ is maintained naturally even when matter particles run in the loop. However, we find that quantum corrections from quintessons or gravitons in the loop spoil the relation if the effective theory has a cutoff greater than $\sim 0.1$ GeV.
Comment: 19 pages, 4 figures. V2: Updated references and minor changes. V3: Updated towards version published in PLB
Document Type: Working Paper
DOI: 10.1016/j.physletb.2019.134878
Access URL: http://arxiv.org/abs/1812.03184
Accession Number: edsarx.1812.03184
Database: arXiv
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  Data: <searchLink fieldCode="AR" term="%22Hertzberg%2C+Mark+P%2E%22">Hertzberg, Mark P.</searchLink><br /><searchLink fieldCode="AR" term="%22Sandora%2C+McCullen%22">Sandora, McCullen</searchLink><br /><searchLink fieldCode="AR" term="%22Trodden%2C+Mark%22">Trodden, Mark</searchLink>
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  Data: Phys. Lett. B 797 (2019)
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  Data: 2018
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  Data: Astrophysics<br />General Relativity and Quantum Cosmology<br />High Energy Physics - Phenomenology<br />High Energy Physics - Theory
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  Data: We investigate the extent to which quintessence models for dark energy are fine-tuned in the context of recent swampland conjectures. In particular, the issue is whether there is a double fine-tuning in which both $V$ and $|\nabla V|$ are fine-tuned, or whether there is only a single fine-tuning due to the relation $|\nabla V|\sim V/M_{pl}$ arising naturally. We find that indeed this relation arises naturally in simple string compactifications for some scalars, such as the dilaton and volume modulus, when treated classically. However, we find that quantum effects can spoil this natural relation, unless the scalar is conformally coupled to the matter sector. Furthermore, it is well known that such conformal couplings are generically ruled out by fifth force tests. To avoid these fifth forces, an interesting proposal is to assume the scalar (quintessence) only couples to the hidden sector. However, we then find quantum corrections to $V$ from visible sector Standard Model particles generically spoil the relation. A possible way out of all these problems is to have the scalar conformally coupled to a dark sector that is an exact copy of the Standard Model. This ensures the relation $|\nabla V|\sim V/M_{pl}$ is maintained naturally even when matter particles run in the loop. However, we find that quantum corrections from quintessons or gravitons in the loop spoil the relation if the effective theory has a cutoff greater than $\sim 0.1$ GeV.<br />Comment: 19 pages, 4 figures. V2: Updated references and minor changes. V3: Updated towards version published in PLB
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