Abstract
We study at finite temperature the Green function and energy-momentum tensor ${T}_{\ensuremath{\mu}\ensuremath{\nu}}(x)$ of a spinor field in 1+1 dimensions, interacting with a static background electric field. ${T}_{\ensuremath{\mu}\ensuremath{\nu}}$ separates into a UV divergent part representing the virtual sea, and a UV finite part describing the thermal plasma of the spinor field. From ${T}_{\ensuremath{\mu}\ensuremath{\nu}}$ we find that the virtual sea remains uniform in the presence of a uniform electric field E, while the thermal plasma becomes position dependent. This remarkable property of the thermal plasma is found to be related to the topological properties of the manifold, and to the presence of zero modes.
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