Higher Derivative Corrections to Charged Fluids in 2n Dimensions

Abstract

We study anomalous charged fluid in $2n$-dimensions ($n\ge 2$) up to sub-leading derivative order. Only the effect of gauge anomaly is important at this order. Using the Euclidean partition function formalism, we find the constraints on different sub-leading order transport coefficients appearing in parity-even and odd sectors of the fluid. We introduce a new mechanism to count different fluid data at arbitrary derivative order. We show that only the knowledge of independent scalar-data is sufficient to find the constraints. In appendix we further extend this analysis to obtain fluid data at sub-sub-leading order (where both gauge and gravitational anomaly contribute) for parity-odd fluid.

arXiv comment43+1 pages, 8 tables; added explicit expressions of anomalous currents in section 3.1; fixed some typos

References in corpus (16)

• Hydrodynamics with Triangle Anomalies
• Fluid dynamics of R-charged black holes
• Hydrodynamics from charged black branes
• Constraints on Fluid Dynamics from Equilibrium Partition Functions
• Towards hydrodynamics without an entropy current
• Thermodynamics, gravitational anomalies and cones
• Anomaly/Transport in an Ideal Weyl gas
• Anomaly inflow and thermal equilibrium
• Anomaly Induced Transport in Arbitrary Dimensions
• Entropy Current from Partition Function: One Example
• Entropy current and equilibrium partition function in fluid dynamics
• Constraints on Anomalous Fluid in Arbitrary Dimensions
• Second-order partition function of a non-interacting chiral fluid in 3+1 dimensions
• Second order transport from anomalies
• Entropy current for non-relativistic fluid
• Nonlinear Hydrodynamics from Flow of Retarded Green's Function

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