Consider the following Lagrangian:(adsbygoogle = window.adsbygoogle || []).push({});

##YHLN_{1}^{c} + Y^{c}H^{\dagger}L^{c}N_{1} + \text {h.c.},##

where ##L=(N_{0}, E')## and ##L^{c} = (E^{'c}, N_{0}^{c})## are a pair of ##SU (2)## doublets and ##N_{1}## and ##N_{1}^{c}## are a pair of neutral Majorana fermions.

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1. In the first term, ##H## and ##L## are column vectors. How do you multiply two column vectors in the first term of the Lagrangian?

2. Are ##L## and ##L^{c}## ##4##-component spinors? Are ##N_{1}## and ##N_{1}^{c}## also ##4##-component spinors? How do the components of the vectors and spinors in the first term multiply?

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# A Gauge and Lorentz invariance for Lagrangians

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