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...
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...
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...
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...
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
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...
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...
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...