What is the meaning of chiral-odd/chiral-even functions

  • Context: Graduate 
  • Thread starter Thread starter joly
  • Start date Start date
  • Tags Tags
    Functions
Click For Summary

Discussion Overview

The discussion revolves around the definitions and implications of chiral-odd and chiral-even functions in the context of quark distribution functions within nucleons, specifically referencing the Sivers and Boer-Mulders functions. The scope includes theoretical aspects of chirality in quantum mechanics and its application to particle physics.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant inquires about the definition of chirality for functions and its relation to transformations of coordinates.
  • Another participant suggests looking up "chiral symmetry" for a deeper understanding, indicating its relevance in quantum mechanics.
  • A participant proposes that chiral-odd functions change sign when switching right-handed and left-handed quarks, while chiral-even functions do not, seeking confirmation of this interpretation.
  • Another reply expresses agreement with the expectation of this behavior but advises relating it to course materials for clarity.

Areas of Agreement / Disagreement

The discussion reflects a lack of consensus on the precise definitions and implications of chirality in this context, with participants expressing varying levels of certainty and suggesting further exploration of course materials.

Contextual Notes

Participants acknowledge the potential for differing interpretations of "distribution function" based on individual educational backgrounds, which may affect their understanding of chirality.

joly
Messages
12
Reaction score
0
I read about quark distribution functions in the nucleon that are chiral-odd or chiral-even functions (Sivers function, Boer-Mulders function and other distribution function related to nucleon transversity). What is the definition of chirality for functions? Does this mean they are odd or even under the transformation (t,x,y,z) -> (t,-x,-y,z) ?

Thanks!
 
Physics news on Phys.org
Thank you. So in better terms than what I used, it means that when one switches the right handed quarks in a nucleon with the left handed ones, a chiral-odd distribution function switches its sign while a chiral-even one retains its sign. Is that correct?
 
Off the top of my head, that would be what I'd expect.
I'm thinking you should relate this to your course-notes and text here though... I may not have the same idea of a "distribution function" that your prof has.
 
  • Like
Likes   Reactions: joly

Similar threads

  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 8 ·
Replies
8
Views
4K
  • · Replies 6 ·
Replies
6
Views
1K
  • · Replies 3 ·
Replies
3
Views
6K
  • · Replies 31 ·
2
Replies
31
Views
4K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 9 ·
Replies
9
Views
1K
  • · Replies 23 ·
Replies
23
Views
3K
Replies
3
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K