Vacuum condition and the relation between response parameter and anomaly coefficient in (1+3) dimensions
arXiv:1405.4634 · doi:10.1007/JHEP08(2014)045
Abstract
The role of Israel-Hartle-Hawking vacuum is discussed for anomalous fluid in presence of both the gauge and gravitational anomalies in ($1+3$) dimensions. I show that imposition of this vacuum condition leads to the relation $\tilde{c}_{4d}=-8Ï^2c_m$ between the response parameter ($\tilde{c}_{4d}$) and the anomaly coefficient ($c_m$). This establishes a connection between the coefficients appearing in a first order and a third order derivative terms in the constitutive relation.
Comments added, to appear in JHEP