Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-09-10
Theor.Math.Phys.159:509-525,2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
21 pages, version accepted for publication in Theoretical and Mathematical Physics
Scientific paper
10.1007/s11232-009-0041-3
The temperature inversion symmetry $R\to \frac{1}{T}$ is studied for the finite temperature effective potential of the N=1, $d=5$, supersymmetric $SU(3)_{c}{\times}SU(3)_{w}$ model, on the orbifold $S^{1}/Z_{2}$. For the value of the Wilson line parameter $\alpha=1$ ($SU(2)_{L}$ breaks to a $U'(1)$), it is found that the effective potential contains a symmetric part and an anti-symmetric part under $\xi\to \frac{1}{\xi}$, with, $\xi=RT$. When $\alpha=0$ (for which, $SU(2)_{L}$ remains unbroken) it is found that the only contribution to the effective potential that spoils the temperature inversion symmetry comes from the fermions in the fundamental representation of the gauge group, with $(+,+)$ or $(-,-)$, $Z_{2}$ parities. This is interesting since it implies that the bulk effective potential corresponding to models with orbifold fixed point localized fundamental fermions (and with no bulk fundamental fermions) has the temperature inversion symmetry.
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