Scalar interactions amd chirality

Click For Summary

Discussion Overview

The discussion revolves around scalar interactions, particularly in the context of the Higgs vacuum expectation value (vev) and their effect on the chirality of interacting particles. Participants explore the implications of these interactions for mass generation in fermions, touching on concepts such as angular momentum and Lorentz invariance.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant suggests that scalar interactions reverse the chirality of interacting particles, proposing this as key to understanding fermion mass generation.
  • Another participant counters that scalar interactions do not care about chirality, allowing them to couple left-handed and right-handed fields.
  • A later reply acknowledges the previous point and suggests that scalar interactions preserve angular momentum but do not consider chirality, which facilitates the coupling of chiral particles and leads to fermion mass.
  • Another participant agrees, explaining that for the interaction term with fermions to be Lorentz invariant, it is necessary to couple a left chiral field to the conjugate of a right chiral one, contrasting this with kinetic terms that require same-chirality coupling.

Areas of Agreement / Disagreement

Participants express differing views on the relationship between scalar interactions and chirality, with no consensus reached on whether scalar interactions reverse chirality or if they allow for coupling of both chiralities.

Contextual Notes

The discussion includes assumptions about the nature of scalar interactions and their implications for chirality and mass generation, which remain unresolved. The dependence on definitions of chirality and angular momentum is also noted.

kimcj
Messages
15
Reaction score
0
why do scalar interactions(for example the higgs vev or its components) reverse the chirality of the interacting particle?? i think this is the key for understanding the mass generation of fermions, but i can't think of a logical reason of the reversed chirality.
 
Physics news on Phys.org
I would say it's the exact opposite - because they are scalars, they don't care about chirality and thus can couple left-handed and right-handed fields.
 
Vanadium 50 said:
I would say it's the exact opposite - because they are scalars, they don't care about chirality and thus can couple left-handed and right-handed fields.
ok thanks i understand it sort of(and sorry for posting this as a intermediate level thread. ishouldve posted it as basic...). so scalar interactions preserve angular momentum(i guess helicity... right?) but does not 'think about' chirality and therefore they can couple left-right chiral particles which leads to fermion mass...right?
 
Yes. Since the scalar has zero angular momentum, in order for the interaction term with fermions to be Lorentz invariant, it is necessary to couple a left chiral field to (the conjugate of) a right chiral one. You can compare this to the kinetic terms, where, because of the appearance of the 4-vector derivative (behaves like spin 1), it is necessary to couple a chiral field to a field of the same chirality.
 
  • Like
Likes   Reactions: vanhees71

Similar threads

  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 5 ·
Replies
5
Views
6K
  • · Replies 8 ·
Replies
8
Views
4K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 11 ·
Replies
11
Views
3K