Please explain something about the standard model

[3m0k177y]

I can't even begin to type out the entire equation for the standard model of particle physics, it is just so immensely long and I don't have the time, energy, or patience to do so. So please excuse the fact that I don't have the equation on here to show exactly what I mean.
Now, I understand most of particle physics and the relations between particles and such, and I understand a good amount of the functions used in the equation. But, I don't understand what all of the symbols and such are for the particles. I can recognize things like photons, gluons, muons, electrons, tau, nuetrinos, muon nuetrinos, tau nuetrinos, W and Z bosons, and Higgs bosons. But, as for other symbols and letters in the equation, I feel like I'm looking at another language entirely. Can someone explain the following symbols, letters and functions:
A, M, u, β, λ, ∂, m, s, c, K, j, X, (the bar over some of the letters and symbols, I don't know what that's for), ϕ, d, Y, and also I don't understand what letters and symbols mean when they are in the form of: W_u or W^k is.
That's just an example of how the form is used, but I don't understand what it really means.
Please explain this all to me, because I can't find this information anywhere.
Thanks

 

[3m0k177y]

Come to think of it, please just explain EVERYTHING about the equation...its much easier for me that way.
Thanks.

 

[Dead Boss]

Come to think of it, please just explain EVERYTHING about the equation...its much easier for me that way.
Thanks.

To understand some of it you'd have to read at least one book on Quantum field theory (plus all the required mathematics). To fully understand the Standard Model you have several years of intensive studying ahead of you.

Now qualitative description of individual terms of the lagrangian (which is probably what you're talking about) is very much possible, but you'll have to at least give a link to what you're talking about, because there are different ways to write the lagrangian.

 

[scijeebus]

Different symbols like the pitchfork represent probability things like looks like 0 with a bar through it is called "theta" and it means angle, fancy versions of letters likely mean different bosons or particles, the backwards lowercase "A" called "partial" I think represents a boundary, the big fancy versions of the letter "f" likely represents "function of" and the super and subscripts are limits. In short, you have this quantized object with virtually infinite degrees of freedom with a few nodal surfaces that occupies all possible positions simultaneously but dies down and becomes smaller as the distance increases from a certain boundary which the total probability over all of space remains "1". There's things like spin and momentum which detirmines the overall shape of the boundary from which probability decreases as you travel away from it.

 

[3m0k177y]

To understand some of it you'd have to read at least one book on Quantum field theory (plus all the required mathematics). To fully understand the Standard Model you have several years of intensive studying ahead of you.

Now qualitative description of individual terms of the lagrangian (which is probably what you're talking about) is very much possible, but you'll have to at least give a link to what you're talking about, because there are different ways to write the lagrangian.

I do, for the most part, understand the standard model itself. Also, I have studied quantum field theory and understand a good amount of the maths. I am talking about explaining the lagrangian, mainly because even though I can understand a little bit of the math, I get lost really easily in the equation. There are a few terms I can understand, like photon fields and fermion energy, but a lot of terms, although I can recognize, aren't used in a way I've seen before. I'll get back to you on a link to the lagrangian, I can't post that as of now for a few reasons.

 

[3m0k177y]

Here are two lagrangians http://www.google.com/search?q=Stan...-m8gSBmP37Bg&ved=0CFcQsAQ&biw=320&bih=488#i=5
And

 

[3m0k177y]

Sorry about that, my computer had a crash in the middle of what I was saying. But, the lagrangian that I am confused about is here:
http://files.abovetopsecret.com/images/member/40e6a6fa962c.png