Heavy-ion collisions, Gubser flow, and Carroll hydrodynamics
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| Main Authors: | , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866916147161464832 |
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| author | Bagchi, Arjun Kolekar, Kedar S. Mandal, Taniya Shukla, Ashish |
| author_facet | Bagchi, Arjun Kolekar, Kedar S. Mandal, Taniya Shukla, Ashish |
| contents | Gubser flow provides an analytic model for describing the spacetime dynamics of the quark-gluon plasma produced in heavy-ion collisions. Along with boost and rotation invariance along the beam axis, the model assumes invariance under a combination of translations and special conformal transformations in the transverse plane, leading to a flow profile which evolves not just along the beam axis, but also radially. We argue that Gubser flow and its associated symmetry assumptions arise naturally as a consequence of Carrollian symmetries for a conformal Carroll fluid, thereby providing a dual geometric picture for the flow. Given the inherent ultrarelativistic nature of the flow, this duality with Carroll hydrodynamics - which arises in the $c \to 0$ limit of relativistic hydrodynamics, is natural. We provide a precise map between Gubser flow and the conformal Carroll fluid, appropriate to capture the duality between the two not just at the ideal level, but also with the inclusion of hydrodynamic derivative corrections. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2310_03167 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Heavy-ion collisions, Gubser flow, and Carroll hydrodynamics Bagchi, Arjun Kolekar, Kedar S. Mandal, Taniya Shukla, Ashish High Energy Physics - Theory Nuclear Theory Gubser flow provides an analytic model for describing the spacetime dynamics of the quark-gluon plasma produced in heavy-ion collisions. Along with boost and rotation invariance along the beam axis, the model assumes invariance under a combination of translations and special conformal transformations in the transverse plane, leading to a flow profile which evolves not just along the beam axis, but also radially. We argue that Gubser flow and its associated symmetry assumptions arise naturally as a consequence of Carrollian symmetries for a conformal Carroll fluid, thereby providing a dual geometric picture for the flow. Given the inherent ultrarelativistic nature of the flow, this duality with Carroll hydrodynamics - which arises in the $c \to 0$ limit of relativistic hydrodynamics, is natural. We provide a precise map between Gubser flow and the conformal Carroll fluid, appropriate to capture the duality between the two not just at the ideal level, but also with the inclusion of hydrodynamic derivative corrections. |
| title | Heavy-ion collisions, Gubser flow, and Carroll hydrodynamics |
| topic | High Energy Physics - Theory Nuclear Theory |
| url | https://arxiv.org/abs/2310.03167 |