Register to reply

The neutrino and electroweak transformations

by ryanwilk
Tags: electroweak, neutrino, transformations
Share this thread:
ryanwilk
#1
Apr15-12, 03:25 PM
P: 57
Hi, quick question.

"In electroweak theory, the neutrino belongs to an SU(2) doublet"

So, does the neutrino belong to an SU(2)xU(1) (electroweak) doublet or just SU(2)?



Thanks!
Phys.Org News Partner Physics news on Phys.org
Mapping the optimal route between two quantum states
Spin-based electronics: New material successfully tested
Verifying the future of quantum computing
Bill_K
#2
Apr15-12, 06:08 PM
Sci Advisor
Thanks
Bill_K's Avatar
P: 4,160
The left-handed neutrino and left-handed electron form an electroweak SU(2)xU(1) doublet. The right-handed electron forms an electroweak singlet. The right-handed neutrino, if it exists, also forms a singlet.
The_Duck
#3
Apr15-12, 10:25 PM
P: 846
Quote Quote by ryanwilk View Post
Hi, quick question.

"In electroweak theory, the neutrino belongs to an SU(2) doublet"

So, does the neutrino belong to an SU(2)xU(1) (electroweak) doublet or just SU(2)?

Thanks!
It's possible to speak of a particle's transformation properties under SU(2) and U(1) separately. Under SU(2) transformations the neutrino transforms as part of a doublet. Under U(1) transformations the neutrino picks up a phase proportional to its hypercharge. So I think it's most correct to say "SU(2)" double instead of "SU(2) x U(1)" doublet.


Register to reply

Related Discussions
In the rest frame of a solar neutrino would I still measure neutrino oscillations High Energy, Nuclear, Particle Physics 5
So does the Higg field give the neutrino mass, and can neutrino velocity change? High Energy, Nuclear, Particle Physics 5
Why do electrons not spontaneously split into neutrino/anti-neutrino pairs? High Energy, Nuclear, Particle Physics 14
Does neutrino oscillation from electron neutrino to muon neutrino conserve energy? High Energy, Nuclear, Particle Physics 4
Probability of Neutrino Transformations Advanced Physics Homework 0