# Higgs Potential

hands-on

Higgs Potential

File higgs_tri.obj cab be open by Blender and just surface.
File higgs_t.stl can be open by Blender and Cura software and for printing.

## Licence

## Credits

First experience with 3D printing for create model Higgs Potetial

In the Standard Model of particle physics, the Higgs mechanism is essential to explain the generation mechanism of the property “mass” for gauge bosons.

The Abelian Higgs model is the Mexican-hat model coupled to electromagnetism.

(image credit: CC BY-SA 3.0 Gonis from es)

we want to plot potential part of the equation

*V*(*f*, Φ) = λ(|f|^{2} − Φ^{2})^{2}

we use f=1 and the Φ the complex number with can be describe as x and y axis

Φ^{2}=x^{2}+y^{2}

The equation become

*V*=(1-(x^{2}+y^{2}))^{2}

And we choose nice view with V=2z, then

*2z*=(1-(x^{2}+y^{2}))^{2}

In the Mathmod the IsoSurfaces using form F(x,y,z,t)=0

(1-(x*x+y*y))^2-2*z=0