Mathematical Quantum Field Theory - Propagators - Comments

Click For Summary

Discussion Overview

The discussion revolves around issues and comments related to a PF Insights post on Mathematical Quantum Field Theory, specifically focusing on propagators. Participants address typographical errors, formatting problems, and the representation of mathematical symbols in the context of the post.

Discussion Character

  • Technical explanation
  • Meta-discussion

Main Points Raised

  • One participant points out that "the the Feynman propagator" contains a typographical error.
  • Concerns are raised about the unbalanced table above Definition 9.2, which has been addressed by another participant.
  • There is an issue with the undefined command "\widecheck" in MathJax, which one participant notes is used for the inverse Fourier transform.
  • Participants discuss the repeated mention of UV divergences without sufficient explanation of their relation to the wave front set.
  • One participant suggests a workaround for the "\widecheck" command by replacing it with "widetilde," but acknowledges this is not ideal.
  • Another participant mentions the possibility of defining macros in MathJax similar to LaTeX, which could potentially resolve the issue with the "\widecheck" command.

Areas of Agreement / Disagreement

Participants generally agree on the existence of typographical and formatting issues, but there is no consensus on the best way to resolve the command issue in MathJax or the implications of UV divergences.

Contextual Notes

Limitations include unresolved issues with the MathJax representation of certain commands and the lack of detailed explanation regarding UV divergences in relation to the wave front set.

Urs Schreiber
Science Advisor
Insights Author
Gold Member
Messages
573
Reaction score
676
Greg Bernhardt submitted a new PF Insights post

Mathematical Quantum Field Theory - Propagators
qft_prapagators.png


Continue reading the Original PF Insights Post.
 

Attachments

  • qft_prapagators.png
    qft_prapagators.png
    12.3 KB · Views: 1,080
  • Like
Likes   Reactions: vanhees71, dextercioby and Greg Bernhardt
Physics news on Phys.org
- ''the the Feynman propagator'' has a the too much.
- The table above Definition 9.2 is unbalanced.
- \widecheck is undefined
- UV divergences are mentioned repeatedly but each time only in passing without any explanation of how it should be related to the wave front set.
 
  • Like
Likes   Reactions: Urs Schreiber
Thanks for these alerts!

A. Neumaier said:
UV divergences are mentioned repeatedly but each time only in passing without any explanation of how it should be related to the wave front set.

I had a brief comment on this, but have made it more prominent now: new remark 9.27.

A. Neumaier said:
- \widecheck is undefined

I had fixed this before, but apparently it came back with my previous update. The trouble is that I have "widecheck" in my source code for the inverse Fourier transform, but the MathJax here does not seem to know this command. As a hack, I have replaced it by "widetilde", but this is sub-optimal. If you or anyone else reading here has a suggestion for how to typeset this with MathJax, please let me know.

A. Neumaier said:
The table above Definition 9.2 is unbalanced.

I have fixed this by hand now, but I don't understand why the converter produced this issue in the first place. My source code is correct at this point. So if I forget about fixing this by hand again next time that I make an update, the problem might reappear.
 
[URL='https://www.physicsforums.com/insights/author/urs-schreiber/']Urs Schreiber[/URL] said:
dtail ##\to## detail
 
  • Like
Likes   Reactions: Urs Schreiber
A. Neumaier said:
dtail ##\to## detail

Thanks! Fixed now.
 
[URL='https://www.physicsforums.com/insights/author/urs-schreiber/']Urs Schreiber[/URL] said:
Thanks for these alerts!
I had a brief comment on this, but have made it more prominent now: new remark 9.27.
I had fixed this before, but apparently it came back with my previous update. The trouble is that I have "widecheck" in my source code for the inverse Fourier transform, but the MathJax here does not seem to know this command. As a hack, I have replaced it by "widetilde", but this is sub-optimal. If you or anyone else reading here has a suggestion for how to typeset this with MathJax, please let me know.
I have fixed this by hand now, but I don't understand why the converter produced this issue in the first place. My source code is correct at this point. So if I forget about fixing this by hand again next time that I make an update, the problem might reappear.
You can define macros in mathJax as in LaTeX, using the usual \newcommand command within a math environment. The only drawback is that you get some empty lines, where you place this. I couldn't figure out how to give plain html commands yet. Using plain html you can avoid the blank lines by setting the \newcommand definitions within a paragraph cf. <p style="display:none">...</p>.
 
vanhees71 said:
You can define macros in mathJax as in LaTeX, using the usual \newcommand command within a math environment.

Thanks, that's useful to know. Do you think this gives a way to produce a "widecheck" here on PF?
 

Similar threads

  • · Replies 82 ·
3
Replies
82
Views
11K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 15 ·
Replies
15
Views
3K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 42 ·
2
Replies
42
Views
6K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 32 ·
2
Replies
32
Views
4K