# Search results

1. ### A Hierarchy problem and Feynmam diagrams

OK, I have modified my question based on some new understanding. I am trying to verify some of the Feynman diagrams associated with the Higgs hierarchy problem. I have constructed the following. (a) The self interaction and (c) the Yukawa interaction, represent the 1 loop corrections to the...
2. ### A Hierarchy problem and Feynmam diagrams

I am trying to figure out the Feynman diagrams for the Hierarchy problem. Here's what I have. (a) is the Higgs self interaction (φ4). It is quadratically divergent with additional logarithmic terms. (b) is the 1 loop Yukawa correction to the Higgs where F might be the top quark and g is...
3. ### A Perturbative expansion of Beta function - Renormalization

I am trying to understand the basics of Renormalization. I have read that β encodes the running coupling and can be expanded as a power series as: β(g) = ∂g/(∂ln(μ)) = β0g3 + β1g5 + ... However, I don't understand how this is derived.. I assume that the terms correspond to 1 loop, 2 loops...
4. ### I Adjoint representation of SU(3)

Thanks. I am familiar with the G-M matrices. I am after the 8 x 8 adjoint versions of the generators. I think I am making progress. When I add indeces: (T1)32, (T1)74, (T1)65, (T2)64, (T2)75, (T3)54, (T3)76, into the mix I almost get the right answer. I am wondering if interchanging...
5. ### I Adjoint representation of SU(3)

Yes, so how does one build the correct generators? This worked fine for SU(2) so something else is missing. I suspect the Jacobi identities play a role but I'm not sure how to proceed. Thanks
6. ### I Adjoint representation of SU(3)

Not sure if this is the correct forum but here goes. I am trying to prove [Ta,Tb] = ifabcTc Where (Ta)bc = -ifabc and fabcare the structure constants for SU(3). I picked f123 and generated the three 8 x 8 matrices .. T1, T2 and T3. The matrices components are all 0 except for, (T1)23 = -i...
7. ### A Ricci Flow and Weyl Transformations

I am trying to my head around these two things in the context of string theory. The Polyakov action becomes simpler to solve in the conformal gauge which, as I understand it, makes the manifold locally Ricci flat in 2D. In Professor Susskind's lectures on String Theory he introduces the concept...
8. ### A D Branes and Gluon-Quark Interaction.

OK thanks. I might try and redraw my image and repost it to make sure I understand.
9. ### A D Branes and Gluon-Quark Interaction.

I have been watching Prof Susskind's lectures on String Theory. I am trying to understand a little more about D branes. I am trying to reproduce a basic quark-gluon interaction. I have the following:http://www.firstcoasttutors.com/images/pf.jpg [Broken] I think this might describe the right...