We consider the thermal response of a (3 + 1)-dimensional theory with a chiral anomaly on a curved space motivated by the chiral magnetic effect. We find a new phenomenon, called the chiral heat effect, such that the thermal current is induced transverse to a gradient of the temperature even on a flat space. We study a similar topological effect on the spacetime with a torsion.
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Kimura et al. (2012) studied this question.
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