Recent content by Andrea M.
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Graduate Calculate Baryons Annihilation Cross Sections
Sorry for the gap, busy day. No, I don't know any solution (except for lattice QCD) for these kind of problems. The only thing that is commonly assumed in the literature is that these kind of strong process should be of order ##\langle\sigma v\rangle\sim g_s/4\pi m_p##.- Andrea M.
- Post #4
- Forum: High Energy, Nuclear, Particle Physics
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Graduate Yang-Mills theory, confinement and chiral symmetry breaking
I was thinking about hadrons in general Yang-Mills theory and I have some doubts that I'd like to discuss with you. Suppose that we have a Yang-Mills theory that, like QCD, tend to bind quarks into color singlet states. So far nothing strange, even QED tend to bind electromagnetic charges to...- Andrea M.
- Thread
- Chiral Confinement Symmetry Symmetry breaking Theory Yang-mills
- Replies: 2
- Forum: High Energy, Nuclear, Particle Physics
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Graduate Calculate Baryons Annihilation Cross Sections
I was wondering if there is a way of calculate the annihilation cross section for two baryons, say ##p\bar p\to\pi\pi## or ##p\bar p\to\gamma\gamma##. The problem here is that we cannot use the usual chiral theory because the energy transfer is of the same order of the cutoff ##\Lambda\sim 1...- Andrea M.
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- Annihilation
- Replies: 2
- Forum: High Energy, Nuclear, Particle Physics
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Graduate Pseudoscalar current of Majorana fields
Ok, i found the (silly) error: $$ \bar\Phi\gamma^5\Phi=\Phi^\dagger\gamma^0\gamma^5\Phi $$ so under hermitian conjugation this becomes $$ \Phi^\dagger\gamma^5\gamma^0\Phi=-\Phi^\dagger\gamma^0\gamma^5\Phi=-\bar\Phi\gamma^5\Phi $$ that imply $$ \bar\Phi\gamma^5\Phi+h.c.=0 $$ the same result that...- Andrea M.
- Post #4
- Forum: High Energy, Nuclear, Particle Physics
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Graduate Pseudoscalar current of Majorana fields
Writing down the spinor indices the product ##\phi\phi## becomes $$ \phi\phi=\phi^\alpha\phi_\alpha=\phi^\alpha\epsilon_{\alpha\beta}\phi^\beta $$ the component ##\phi^\alpha## are Grassmann numbers but the product ##\phi\phi## should commute, am I wrong? For the difference between...- Andrea M.
- Post #3
- Forum: High Energy, Nuclear, Particle Physics
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Graduate Pseudoscalar current of Majorana fields
Consider a Majorana spinor $$ \Phi=\left(\begin{array}{c}\phi\\\phi^\dagger\end{array}\right) $$ and an pseudoscalar current ##\bar\Phi\gamma^5\Phi##. This term is invariant under hermitian conjugation: $$ \bar\Phi\gamma^5\Phi\to\bar\Phi\gamma^5\Phi $$ but if I exploit the two component...- Andrea M.
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- Current Fields Gamma matrices Majorana Spinors
- Replies: 3
- Forum: High Energy, Nuclear, Particle Physics
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Graduate Quark axial-vector current in nucleion
Thank you, I'll check it out!- Andrea M.
- Post #3
- Forum: High Energy, Nuclear, Particle Physics
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Graduate Quark axial-vector current in nucleion
In almost all direct detection articles (see for example Jungman, G., Kamionkowski, M. & Griest, K., 1996. Supersymmetric dark matter) I found the following parametrization for the matrix element of the quark axial-vector coupling: $$ \langle n|\bar...- Andrea M.
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- Current Quark
- Replies: 2
- Forum: High Energy, Nuclear, Particle Physics
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Drawing Feynman diagrams with feynarts
I found the solution. I need to compile following the latex -> dvips -> ps2pdf sequence. This can be made in TexShop putting the command %!TEX TS-program = latex in the first line of the tex file.- Andrea M.
- Post #3
- Forum: MATLAB, Maple, Mathematica, LaTeX
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Drawing Feynman diagrams with feynarts
I'm trying to draw Feynman diagrams with the feynarts.sty package for LaTex. The problem is that if I write the following code \begin{feynartspicture}(150,150)(1,1) \FADiagram{} \FAProp(0.,10.)(6.,10.)(0.,){/Straight}{0} \FALabel(3.,9.18)[t]{$1$}...- Andrea M.
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- Diagrams Drawing Feynman Feynman diagrams
- Replies: 2
- Forum: MATLAB, Maple, Mathematica, LaTeX
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Graduate The difference between spatial and intrinsic parity
In general the parity of a particle is the product of intrinsic and extrinsic (or spatial as you say) parity. Extrinsic parity is given by ##(-1)^l## where ##l## is the orbital angular momentum of the state. Intrinsic parity is peculiar of each particle and it simply says as the state of the...- Andrea M.
- Post #2
- Forum: High Energy, Nuclear, Particle Physics
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Graduate Standard Model decompositions of larger group representations?
The multiplets in ##(18.15)## aren't a subgroups of ##SU(3)\times SU(2)\times U(1)##?- Andrea M.
- Post #5
- Forum: High Energy, Nuclear, Particle Physics
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Graduate How do baryons transform under chiral transformations?
Yes I've already read this but I still have some doubts, I will give him another chance.- Andrea M.
- Post #5
- Forum: High Energy, Nuclear, Particle Physics
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Graduate Standard Model decompositions of larger group representations?
Try chapter 18 of "Lie algebras in particle physics" by Georgi.- Andrea M.
- Post #2
- Forum: High Energy, Nuclear, Particle Physics
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Graduate How do baryons transform under chiral transformations?
I'd like to understand how the octet of baryons ##B## transforms under ##SU(3)_L\times SU(3)_R##. The only thing I know is that it must transforms as the eight dimensional representation of the unbroken symmetry ##SU(3)_V## but I don't get why it should transform like $$ B\to...- Andrea M.
- Post #3
- Forum: High Energy, Nuclear, Particle Physics