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2 votes
1 answer
120 views

Columns, rows, dotted, undotted, $SL(2, \mathbb{C})$ reps, and building Dirac spinors from Weyl spinors

I'm looking through Introduction to Supersymmetry by Muller-Kirsten and Wiedemann, along with any other resource I can find. I'm specifically trying to understand the concepts and notations for ...
Gleeson's user avatar
  • 213
1 vote
0 answers
83 views

How do the Weyl spinors differ from dotted and undotted spinors? [duplicate]

As asked in the title, how do the Weyl spinors $(\frac{1}{2},0)$ and $(0,\frac{1}{2})$ differ from dotted and undotted spinors?
Solidification's user avatar
6 votes
1 answer
674 views

The spinor metric, basic spinor calculations and spinor indices

I'm currently reading the textbook "Finite Quantum Electrodynamics" by Günter Scharf, but I find myself stuck already on page 24. Background Scharf introduces the index-raising symbol (spinor metric)...
B. Bergtun's user avatar
7 votes
1 answer
2k views

Spinor dotted and undotted indices

I have had an introduction to QFT following the book of Mandl and Shaw. However, I have been asked to write a report on the CPT theorem. For this, the main reference I'm using is PCT, spin and ...
user353840's user avatar
1 vote
1 answer
87 views

The notation $p_{a \dot{b}}$

I am a mathematician and trying to learn scattering amplitude by reading Henriette Elvang and Yu-tin Huang's review Scattering Amplitudes (arXiv:1308.1697). I have a question about the notation $p_{...
Jianrong Li's user avatar
0 votes
0 answers
53 views

Index Placement for Spinors in Relativity

This may ultimately be a silly question, but a pedantic mind like mine gets tied into knots over differing notation. (Disclaimer: I'm a mathematician.) Let $\mathbb{W}$ be a complex two-dimensional ...
Brian Klatt's user avatar