Recent content by jinbaw

Okay, that explains a singlet. Thanks. But what I still can't get is how we know that it is 1 + 8. For example i need to find what 3 x 3 x 3 is. How can I do that?

and what is SU(3)xSU(3)? What do we mean by 3 x 3(bar) = 8 + 1?

what is a singlet under SU(3)?

I passed over a discussion which shows that integrating over SU(2) is similar to that over a sphere S^3. I want a similar discussion for integration over SU(3). Can someone please specify a reference that gives a good explanation of SU(3) (like finding generators, etc..)? Thanks

okay, thanks

How is integration over the group SU(3) defined?

Can you please specify a reference to help me understand how QCD explains the fact that all particles observed in nature transforms under SU(3).

Is there a way of knowing what this specific mass is? I mean of course of the solution is derived from some general metric without an explicit value of the mass being given.

I'm not very fund of the subject, but what i know is that the Schwarzschild metric and other known solutions for Einstein's action have some constant representing mass. However, I encountered some solutions where no such constant existed. Can someone explain to me what does this mean exactly? In...

when we say "a topological action", do we only mean that the action is metric free? or is there some other meaning for this expression? What does the word topological mean exactly? Thanks!

Thanks haushoffer! :) that was of good help!

I do understand that setting the torsion to zero will allow us to write the spin connection in terms of the veirbeins which makes them dependent, but how does this let us get rid of local translations?

Hi Mentz114 The Christoffel symbols take this form {\Gamma^m}_{ab} = \frac{1}{2}g^{mk}(g_{ak,b}+g_{bk,a}-g_{ab,k}) only when there is no torsion in the manifold, but i don't think this has anything to do with the existence or non-existence of a metric. I mean even...

I was reading in a paper for Chamseddine the following: "In the past many attempts were made to construct gravity as a gauge theory of the Lorentz or Poincar6 groups in four dimensions . It later became clear that if both the vierbein and the spin connection are to be viewed as gauge...

Hi all, Just a question i was wondering about. We know that in electrodynamics the Lagrangian is invariant under a gauge transformation of the potential, and this is equivalent to the law of conservation of charge. Concerning relativity, what is the quantity that is conserved and are the...