Recent content by dingo_d

True that! :D I do that sometimes with my friends, and in the midst of explaining them the issue, I find the solution :D

I've found what I've done wrong. The b constants had reversed sign :D Thanks anyway :D

Homework Statement I need to draw the running coupling constant graph like this one: And I have a formula: \frac{1}{\alpha(\mu)} = \frac{1}{\alpha(M_Z)} + \frac{b}{2\pi}\ln\frac{\mu}{M_{Z}} And I have the necessary data to draw \frac{1}{\alpha_i(\mu)}-\log(\mu) graph (I have...

Homework Statement I have a lagrangian written as: \mathcal{L}_H = \text{Tr}\left[\,(D_\mu \Phi)^\dagger D^\mu \Phi\right] - \mu^2 \text{Tr}\left[\,\Phi^\dagger \Phi\right] - \lambda (\text{Tr}\left[\,\Phi^\dagger \Phi\right])^2 Where the field is: \Phi \equiv \frac{1}{\sqrt{2}}(i...

Found it! Finally! I did some digging and found a great book called Geometrical methods of mathematical physics by Bernard Shutz, and in it a proper way to calculate the Lie derivative of a metric, and I am getting good results ^^ I'm so happy right now! Thanks for all the help :)

Ok, I am in a bit of a problem here. I found one example of Lie derivative of a vector, along another vector on a sphere. And there was given the formula for each of the component. Here I would have (if I'm correct): \mathcal{L}_\xi g_{\mu \nu}=\nabla_\mu \xi_\nu+\nabla_nu\xi_\mu=\frac{\partial...

Hmmm then I definitely did something wrong :\ I found an example of Lie derivative of a metric of 3 sphere, along some vector... I'll try to follow that, and see that I'll get...

The reason that is confusing me is that I have a vector field given in the form I've mentioned, and I have a nondiagonal metric, and I'm trying to get the same result that I found in one article, and I can't. Here: http://arxiv.org/abs/0908.0184 he makes a Lie derivative along a diffeomorphism...

\psi is the wave function for the given problem, that you find by solving Schrödinger equation for a given potential

Homework Statement I've searched everywhere, and I cannot find an example of calculation of Lie derivation of a metric. If I have some vector field \alpha, and a metric g, a lie derivative is (by definition, if I understood it): \mathcal{L}_\alpha g=\nabla_\mu \alpha_\nu+\nabla_\nu...

Homework Statement Draw the position of the atoms in the two neighboring planes of the GaAs crystal perpendicular to vector [010]. Find the type of the lattice and the basis of 2D crystal which is made by singling out those two neighboring layers from 3D lattice. Homework Equations...

Thank you :)

Homework Statement I saw here, but since the thread is closed I need to ask my question in a new thread. I have two decays: \rho^0\to \pi^+\pi^- and \rho^0\to \pi^0\pi^0. The text says that both are allowed with respect to laws of conservation of energy and impulse. Why is the second one...

Ok I think I solved it, I was messing up the kinematics. I feel like an idiot -.-"

Homework Statement I have decay of Higgs to fermion and antifermion and I need to find out the invariant, averaged amplitude. And I wrote down the Feynman diagram, and calculated everything and I came to this part: \langle|M|^2\rangle=\frac{g_w^2}{4}\frac{m_f^2}{m_w^2}(4p_1\cdot...