Minimizing the One-Loop-Potential at a given Temperature

[AWlotzka]

Hi,

in your paper arxiv:1405.7376 you state, that it is possible to minimize the one-loop potential at a given temperature. From the output of Vevacious I find that by default the one-loop potential is minimized at T=0, so without the thermal corrections.
So how do I minimize at T=X?
I saw the routines for the temperature corrections in the source code and found the function 'SetTemperature'. So can I simply use

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vcs.SetTemperature( X )

in the file Vevacious.py right before the commands

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vcs.WriteExtrema

and

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vcs.RollExtrema

?

Thanks and all the best,
Alexander

[ElielCamargo]

Dear Alexander,

Are you interested in only the numerical minimization of the one-loop effective potential at a certain temperature, i.e using tree-level minima as starting points for a numerical minimization of the one-loop effective potential at a temperature T ?

or do you want to calculate the survival probability of a desired vacuum at a certain temperature?

The second option can be easily done with minimum work from your part. The first one though, requires a bit more work but its also doable. Let me know what exactly are you looking for and then I could help you.

Best,
Eliel

[AWlotzka]

Dear Eliel,

thanks for your help!
I'm only interested in the first option you gave (exactly what you said: using the tree-level minima as starting point to find the global minimum of the one-loop effective potential at a given temperature).

Thanks, cheers,
Alexander

[Eliel]

Hi,

Actually, after discussing with Ben a little bit, I think that your first proposal would actually work. Be aware that the temperature you set with vcs.SetTemperature( X ) will be reset once a tunneling calculation starts. However if you are only interested in the minimization you should not worry about that and it should be enough to read the Vevacious_loop-corrected_minima.txt file to see where the minima rolled to.

Best,
Eliel

[AWlotzka]

Dear Eliel,

thanks for the response, I'll try it out!

Cheers,
Alexander