Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-09-04
Phys.Rev. D60 (1999) 105034
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX, 34 pages
Scientific paper
10.1103/PhysRevD.60.105034
We study at finite temperature the energy-momentum tensor $T_{\mu\nu}(x)$ of (i) a scalar field in arbitrary dimension, and (ii) a spinor field in 1+1 dimensions, interacting with a static background electromagnetic field. $T_{\mu\nu}$ separates into an UV divergent part $T_{\mu\nu}^{sea}$ representing the virtual sea, and an UV finite part $T_{\mu\nu}^{plasma}$ describing the thermal plasma of the matter field. $T_{\mu\nu}^{sea}$ remains uniform in the presence of a \underbar{uniform} electric field $\vec E$, while $T_{\mu\nu}^{plasma}$ becomes a periodic function with period $\Delta x=2\pi T/E$ in the direction parallel to $\vec E$. A related periodicity is found for a uniform static magnetic field if one spatial direction perpendicular to the magnetic field is compactified to a circle.
Actor A. A.
Rothe Klaus D.
Scholtz Frederik G.
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