Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2011-05-02
Physics
High Energy Physics
High Energy Physics - Phenomenology
6 pages, 5 figures; some clarification in sec.V added, typos corrected and references added
Scientific paper
We explore whether an ultrasoft fermionic mode exists at extremely high temperature in Yukawa theory with massless fermion (coupling constant is g). We find that the fermion propagator has a pole at \omega = \pm p/3-i\zeta, for ultrasoft momentum p, where \zeta \sim g^4T ln 1/g, and the residue is Z \sim g^2. It is shown that one needs to take into account the asymptotic masses and the damping rate of hard particles to get a sensible result for such an ultrasoft fermionic mode; possible vertex correction turns out unnecessary for the scalar coupling in contrast to the gauge coupling.
Hidaka Yoshimasa
Kunihiro Teiji
Satow Daisuke
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