Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1992-09-14
Nucl.Phys.B407:606-636,1993
Physics
High Energy Physics
High Energy Physics - Phenomenology
33 pages and 2 figures (available upon request), MPI-Ph/92-67, August 1992
Scientific paper
10.1016/0550-3213(93)90092-4
The effective potential of scalar quantum electrodynamics with N flavors of complex scalar fields is studied, by performing a self consistent 1/N expansion up to next to leading order in $1/N$. Starting from the broken phase at zero temperature, the theory exhibits a phase transition to the symmetric phase at some finite temperature $T_c$. We work in general covariant gauges and demonstrate the gauge invariance of both, the critical temperature $T_c$ and the minimization condition at any finite temperature T. Furthermore, the only minimum of the potential is at zero scalar vacuum expectation value for any temperature $T \geq T_c$ and varies continuously to nonzero values for temperatures below $T_c$, implying the existence of a second order phase transition.
Carena Marcela
Wagner Carlos E. M.
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