Recent content by Sandglass
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Undergrad Noether currents for a complex scalar field and a Fermion field
My question is only a formal comparison between the two currents: the presence of a derivative term in one case and its absence in the other intrigues me (although its demonstration from the Lagrangian is straightforward). But perhaps there is no lesson to be learned.- Sandglass
- Post #3
- Forum: Quantum Physics
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Undergrad Noether currents for a complex scalar field and a Fermion field
For a complex scalar field, the lagrangian density and the associated conserved current are given by: $$ \mathcal{L} = \partial^\mu \psi^\dagger \partial_\mu \psi -m^2 \psi^\dagger \psi $$ $$J^{\mu} = i \left[ (\partial^\mu \psi^\dagger ) \psi - (\partial^\mu \psi ) \psi^\dagger \right] $$...- Sandglass
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- Complex Currents Fermion Field Noether Scalar Scalar field
- Replies: 3
- Forum: Quantum Physics
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High School Graphical representation of the weak mixing angle
Thanks for all these clarifications.- Sandglass
- Post #12
- Forum: High Energy, Nuclear, Particle Physics
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High School Graphical representation of the weak mixing angle
Actually, I'm looking for a reference for this graph: https://en.wikipedia.org/wiki/Mathematical_formulation_of_the_Standard_Model#/media/File:Standard_Model.svg I'm new to this and want to make sure I understand: do the letters L and R for particles refer to chirality, not helicity ? The...- Sandglass
- Post #6
- Forum: High Energy, Nuclear, Particle Physics
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High School Graphical representation of the weak mixing angle
I'm making one last attempt about this graph. I looked for it in some QFT books and didn't see it. Does anyone have a reference, either an academic book or a review article that shows this graph, instead of this wiki page ?- Sandglass
- Post #4
- Forum: High Energy, Nuclear, Particle Physics
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High School Graphical representation of the weak mixing angle
Thanks for your answer. Since the coupling constant for the weak hypercharge is given by g' cos (theta_w) = e, I naively thought that the weak hypercharge Yw was related to the electric charge Q in the same way by Yw cos(theta_w) = Q. What puzzles me is the fact that the particle graph seems...- Sandglass
- Post #3
- Forum: High Energy, Nuclear, Particle Physics
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High School Graphical representation of the weak mixing angle
The graphical pattern of particles in the weak hypercharge and weak isospin plane, visible in this wiki page, shows the mixing angle between the Yw and Q axes. Actually , from the weak hypercharge (-2) of a right-handed electron and its electric charge (-1), one obtains an angle Pi/3, not the...- Sandglass
- Thread
- Angle Mixing Representation Weak
- Replies: 12
- Forum: High Energy, Nuclear, Particle Physics