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The effective potential at finite temperature in the left-right symmetric model
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abstract
We obtain the effective potential at finite temperature within the left-right symmetric model. We take the Higgs sector to consist of two doublets and calculate its finite temperature effective potential up to the order of ``ring-diagrams'', using analogous techniques to those employed in the derivation of the effective potential in the Standard Model. We find that two first order phase transitions can exist, one at the $SU(2)_R$ breaking scale, the other at the usual $SU(2)_L\otimes U(1)_Y$ breaking scale. Even though more parameters are present than the standard model, we find that the electroweak phase transition is still too weak to allow baryon asymmetry to survive the transition, if the lower bound of the Higgs boson mass from experiment is adhered to.
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Gravitational Waves as a Probe of Left-Right Symmetry Breaking
With one scalar coupling tuned to about 10^-3, the minimal left-right symmetric model predicts a first-order phase transition whose gravitational waves could be seen by LISA and other planned space interferometers.
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