Perturbative QCD meets phase quenching: The pressure of cold quark matter
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| Format: | Preprint |
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2024
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| _version_ | 1866912159405965312 |
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| author | Navarrete, Pablo Paatelainen, Risto Seppänen, Kaapo |
| author_facet | Navarrete, Pablo Paatelainen, Risto Seppänen, Kaapo |
| contents | Nonperturbative inequalities constrain the thermodynamic pressure of Quantum Chromodynamics (QCD) with its phase-quenched version, a Sign-Problem-free theory amenable to lattice treatment. In the perturbative regime with a small QCD coupling constant $α_s$, one of these inequalities manifests as an $O(α_s^3)$ difference between the phase-quenched and QCD pressures at large baryon chemical potential. In this work, we generalize state-of-the-art algorithmic techniques used in collider physics in vacuum quantum field theory to address large-scale multiloop computations at finite chemical potential, by direct numerical integration of Feynman diagrams in momentum space. Using this novel approach, we evaluate this $O(α_s^3)$ difference and show that it is a gauge-independent and small positive number compared to the known perturbative coefficients at this order. This implies that at high baryon densities, phase-quenched lattice simulations can provide a complementary nonperturbative method for accurately determining the pressure of cold quark matter at $O(α_s^3)$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2403_02180 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Perturbative QCD meets phase quenching: The pressure of cold quark matter Navarrete, Pablo Paatelainen, Risto Seppänen, Kaapo High Energy Physics - Phenomenology High Energy Physics - Lattice High Energy Physics - Theory Nonperturbative inequalities constrain the thermodynamic pressure of Quantum Chromodynamics (QCD) with its phase-quenched version, a Sign-Problem-free theory amenable to lattice treatment. In the perturbative regime with a small QCD coupling constant $α_s$, one of these inequalities manifests as an $O(α_s^3)$ difference between the phase-quenched and QCD pressures at large baryon chemical potential. In this work, we generalize state-of-the-art algorithmic techniques used in collider physics in vacuum quantum field theory to address large-scale multiloop computations at finite chemical potential, by direct numerical integration of Feynman diagrams in momentum space. Using this novel approach, we evaluate this $O(α_s^3)$ difference and show that it is a gauge-independent and small positive number compared to the known perturbative coefficients at this order. This implies that at high baryon densities, phase-quenched lattice simulations can provide a complementary nonperturbative method for accurately determining the pressure of cold quark matter at $O(α_s^3)$. |
| title | Perturbative QCD meets phase quenching: The pressure of cold quark matter |
| topic | High Energy Physics - Phenomenology High Energy Physics - Lattice High Energy Physics - Theory |
| url | https://arxiv.org/abs/2403.02180 |