Abstract
An exact formulation of two-dimensional chiral hydrodynamics with diffeomorphism and conformal anomalies is provided. The constitutive relation involving the stress tensor is computed. It reveals a one parameter class of solutions which is a new result. For a particular value of this parameter, the results found in the gradient expansion scheme are reproduced. Moreover, the constitutive relation is analogous to the corresponding relation for an ideal fluid, appropriately modified to include the chirality property, which has also been derived here.
Highlights
A universal effective picture of any finite temperature quantum field theory on large time and length scales is provided by hydrodynamics [1]
While the space-time symmetry leads to the conservation of the stress tensor, the charge symmetry leads to the conservation of charge current
The conservation laws are supplemented by constitutive relations expressing the stress tensor and the current in terms of the basic fluid variables which are velocity, temperature, and chemical potential
Summary
A universal effective picture of any finite temperature quantum field theory on large time and length scales is provided by hydrodynamics [1]. The conservation laws are supplemented by constitutive relations expressing the stress tensor and the current in terms of the basic fluid variables which are velocity, temperature, and chemical potential. These constitutive relations, naturally, have to be consistent with the conservation laws and are usually obtained by requiring compatibility with the second law of thermodynamics [1]. It may be observed that the constitutive relation for an ideal chiral fluid is different from a normal one This is explained and the relevant relation is derived in Sect.
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