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Spectral Function of Fermion Coupled with Massive Vector Boson at Finite Temperature in Gauge Invariant Formalism | | Daisuke Satow
; Yoshimasa Hidaka
; Teiji Kunihiro
; | | Date: |
30 Nov 2010 | | Abstract: | We investigate spectral properties of a fermion coupled with a massive gauge
boson with a mass $m$ at finite temperature ($T$) in the perturbation theory.
The massive gauge boson is introduced as a $U(1)$ gauge boson in the
Stueckelberg formalism with a gauge parameter $alpha$. We find that the
fermion spectral function has a three-peak structure for $T sim m$
irrespective of the choice of the gauge parameter, while it tends to have one
faint peak at the origin and two peaks corresponding to the normal fermion and
anti-pasmino excitations familiar in QED in the hard thermal loop approximation
for $T gg m$. We show that our formalism succesfully describe the fermion
spectral function in the whole $T$ region with the correct high-$T$ limit
except for the faint peak at the origin, although some care is needed for
choice of the gauge parameter for $T gg m$. We clarify that for $T sim m$,
the fermion pole is almost independent of the gauge parameter in the one-loop
order, while for $T gg m$, the one-loop analysis is valid only for $alpha ll
1/g$ where $g$ is the fermion-boson coupling constant, implying that the
one-loop analysis can not be valid for large gauge parameters as in the unitary
gauge. | | Source: | arXiv, 1011.6452 | | Services: | Forum | Review | PDF | Favorites | |
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