Standard Model Mathematical Representation

[ThomasSatt]

Hello, everyone. I understand the Standard Model and all of its quarks, leptons and bosons, but could someone show me the equation and simply explain it? I haven't been able to find it or an explanation of how it relates to the graphical representation of the Standard Model. Thanks in advance!

 

[mfb]

I understand the Standard Model

I doubt that.

You need quantum field theory to "see" the particles and their interaction in the Standard Model lagrangian ("the equation"). Judging from your question, you probably do not have the required knowledge, so you can only accept that it can be done.

 

[cosmik debris]

Attached is the standard model Lagrangian. As for a simple explanation well...

 

[ThomasSatt]

Thanks, it'd make for a great t-shirt!

 

[pmacias]

Hello there! The Standard Model can be represented mathematically using the following equation:

L = - 1/4 FμνFμν + iψ̄(D̸ - m)ψ + iψ̄(D̸ - m)ψ + h.c.

This equation is known as the Lagrangian of the Standard Model and it describes the interactions between the fundamental particles (quarks, leptons, and bosons) and the forces (electromagnetic, weak, and strong). Let's break it down into simpler terms:

- The first term, - 1/4 FμνFμν, represents the electromagnetic force, where Fμν is the electromagnetic field strength tensor.
- The second term, iψ̄(D̸ - m)ψ, represents the weak force, where ψ is the fermion field and D̸ is the covariant derivative.
- The third term, iψ̄(D̸ - m)ψ, represents the strong force, where ψ is the fermion field and D̸ is the covariant derivative.
- The last term, h.c., stands for hermitian conjugate and it represents the interactions between particles and their antiparticles.

Overall, this equation describes the interactions between all the particles in the Standard Model and how they interact with each other through the different forces. I hope this helps clarify the mathematical representation of the Standard Model. Let me know if you have any other questions.