Linear response theory and effective action of relativistic hydrodynamics with spin

Author(s)

Montenegro, David ^{[1, 2]} ; Torrieri, Giorgio ^[1]

Affiliation

^[1] Univ Estadual Campinas, IFGW, BR-13083859 Campinas, SP - Brazil

^[2] Univ Estadual Paulista, Inst Fis Teor, BR-01140070 Sao Paulo, SP - Brazil

• Document type: Journal article
• Source: Physical Review D; v. 102, n. 3 AUG 10 2020.
• Web of Science Citations: 0

Abstract

We use linear response techniques to develop the previously proposed relativistic ideal fluid limit with a non-negligible spin density. We confirm previous results {[}D. Montenegroet al, Phys. Rev. D 96, 056012 (2017); Phys. Rev. D 96, 079901(A) (2017); Phys. Rev. D 96, 076016 (2017); D. Montenegro and G. Torrieri, Phys. Rev. D 100, 056011 (2019)], obtain expressions for the microscopic transport coefficients using Kubo-like formulas and build up the effective field theory from the computed correlation functions. We verify that for a causal theory with spin the spin-polarization correlator's asymptotic time dependence is the same as for fluctuating hydrodynamics, and investigate backreaction corrections to hydrodynamic variables using a one-loop effective action. We also confirm that polarization makes vortices acquire an effective mass via a mechanism similar to the Anderson-Higgs mechanism in superconductors. As speculated earlier, this could stabilize the ideal hydrodynamic limit against fluctuation-driven vortices. (AU)

• FAPESP's process: 17/05685-2 - Hadronic physics in high energy nuclear collisions
• Grantee: Jun Takahashi
• Support Opportunities: Special Projects
• FAPESP's process: 17/06508-7 - Development of hydrodynamics as a field theory
• Grantee: Donato Giorgio Torrieri
• Support Opportunities: Regular Research Grants