Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-06-29
Phys.Rev.Lett. 86 (2001) 1690-1693
Physics
High Energy Physics
High Energy Physics - Theory
7 pp, 2 figs; refs + comments added; to appear in PRL
Scientific paper
10.1103/PhysRevLett.86.1690
We show that while the zero temperature induced fermion number in a chiral sigma model background depends only on the asymptotic values of the chiral field, at finite temperature the induced fermion number depends also on the detailed shape of the chiral background. We resum the leading low temperature terms to all orders in the derivative expansion, producing a simple result that can be interpreted physically as the different effect of the chiral background on virtual pairs of the Dirac sea and on the real particles of the thermal plasma. By contrast, for a kink background, not of sigma model form, the finite temperature induced fermion number is temperature dependent but topological.
Aitchison Ian J. R.
Dunne Gerald V.
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