NNNLO pressure of cold quark matter: leading logarithm
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2018
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| _version_ | 1866911845250498560 |
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| author | Gorda, Tyler Kurkela, Aleksi Romatschke, Paul Säppi, Saga Vuorinen, Aleksi |
| author_facet | Gorda, Tyler Kurkela, Aleksi Romatschke, Paul Säppi, Saga Vuorinen, Aleksi |
| contents | At high baryon chemical potential $μ_B$, the equation of state of QCD allows a weak-coupling expansion in the QCD coupling $α_s$. The result is currently known up to and including the full next-to-next-to-leading order (NNLO) $α_s^2$. Starting at this order, the computations are complicated by the modification of particle propagation in a dense medium, which necessitates non-perturbative treatment of the scale $α_s^{1/2} μ_B$. In this work, we apply a Hard-Thermal-Loop scheme for capturing the contributions of this scale to the weak-coupling expansion, and use it to determine the leading-logarithm contribution to NNNLO: $α_s^3 \ln^2 α_s$. This result is the first improvement to the equation of state of massless cold quark matter in 40 years. The new term is negligibly small, and thus significantly increases our confidence in the applicability of the weak-coupling expansion. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_1807_04120 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | NNNLO pressure of cold quark matter: leading logarithm Gorda, Tyler Kurkela, Aleksi Romatschke, Paul Säppi, Saga Vuorinen, Aleksi High Energy Physics - Phenomenology High Energy Astrophysical Phenomena Nuclear Theory At high baryon chemical potential $μ_B$, the equation of state of QCD allows a weak-coupling expansion in the QCD coupling $α_s$. The result is currently known up to and including the full next-to-next-to-leading order (NNLO) $α_s^2$. Starting at this order, the computations are complicated by the modification of particle propagation in a dense medium, which necessitates non-perturbative treatment of the scale $α_s^{1/2} μ_B$. In this work, we apply a Hard-Thermal-Loop scheme for capturing the contributions of this scale to the weak-coupling expansion, and use it to determine the leading-logarithm contribution to NNNLO: $α_s^3 \ln^2 α_s$. This result is the first improvement to the equation of state of massless cold quark matter in 40 years. The new term is negligibly small, and thus significantly increases our confidence in the applicability of the weak-coupling expansion. |
| title | NNNLO pressure of cold quark matter: leading logarithm |
| topic | High Energy Physics - Phenomenology High Energy Astrophysical Phenomena Nuclear Theory |
| url | https://arxiv.org/abs/1807.04120 |