Abstract
We study anomalous charged fluid in $2n$-dimensions ($n\geq 2$) 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.
Highlights
Introduction and summaryIn past few years there has been much interest and progress in further understanding of relativistic, charged, dissipative fluid in presence of some global anomalies
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
A fluid is a statistical system in local thermodynamic equilibrium, which is generally characterized in terms of energy-momentum tensor Tμν, charge current Jμ and their constitutive equations
Summary
In past few years there has been much interest and progress in further understanding of relativistic, charged, dissipative fluid in presence of some global anomalies. In this paper we have extended our calculation to include the sub-leading order correction (i.e. second order corrections) to parity-even sector in constitutive relations in arbitrary even dimensions in presence of U(1) gauge anomaly. We list all the leading and sub-leading order scalars, vectors and tensors which may appear in constitutive relations up to sub-leading order in derivative expansion both in parity-even and odd sectors. We have not been able to find the ‘independent’ parity-odd vectors and tensors at sub-leading order, this does not inhibit us from finding the constraints on the transport coefficients. In appendices we explain the Kaluza-Klien decomposition (appendix A) and sub-sub-leading order counting (appendix B)
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