Higgs Potential

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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.

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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.

S(\phi, A) = \int - {1\over 4} F^{\mu\nu} F_{\mu\nu} + |(\partial - i q A)\phi|^2 - \lambda (|\phi|^2 - \Phi^2)^2.

 

File:Mecanismo de Higgs PH.png

(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 − Φ2)2

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

Φ2=x2+y2

The equation become

V=(1-(x2+y2))2

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

2z=(1-(x2+y2))2

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

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