• Register
PhysicsOverflow is a next-generation academic platform for physicists and astronomers, including a community peer review system and a postgraduate-level discussion forum analogous to MathOverflow.

Welcome to PhysicsOverflow! PhysicsOverflow is an open platform for community peer review and graduate-level Physics discussion.

Please help promote PhysicsOverflow ads elsewhere if you like it.


PO is now at the Physics Department of Bielefeld University!

New printer friendly PO pages!

Migration to Bielefeld University was successful!

Please vote for this year's PhysicsOverflow ads!

Please do help out in categorising submissions. Submit a paper to PhysicsOverflow!

... see more

Tools for paper authors

Submit paper
Claim Paper Authorship

Tools for SE users

Search User
Reclaim SE Account
Request Account Merger
Nativise imported posts
Claim post (deleted users)
Import SE post

Users whose questions have been imported from Physics Stack Exchange, Theoretical Physics Stack Exchange, or any other Stack Exchange site are kindly requested to reclaim their account and not to register as a new user.

Public \(\beta\) tools

Report a bug with a feature
Request a new functionality
404 page design
Send feedback


(propose a free ad)

Site Statistics

205 submissions , 163 unreviewed
5,054 questions , 2,207 unanswered
5,346 answers , 22,721 comments
1,470 users with positive rep
818 active unimported users
More ...

  Is it possible to generalize quantum gauge theories?

+ 3 like - 0 dislike

I know that there are nonabelian gauge theories and their supersymmetric extensions. Mathematically, gauge theories basing on the fact that one can introduce a fiber bundle with a Connection. From this the curvature (field strength) can be computed.

But what is when one has a non-smooth fiber bundle over the base manifold (minkowski spacetime) or some Special Kind of the gauge-groups? Are there existing generalizations for non-smooth gauge Groups(in physics, stochastic noise is sometimes regarded as non-smooth but the average of this noise function is smooth)?

This post imported from StackExchange Physics at 2015-02-10 13:50 (UTC), posted by SE-user kryomaxim

asked Feb 8, 2015 in Theoretical Physics by kryomaxim (65 points) [ revision history ]
recategorized Feb 10, 2015 by dimension10
For such a generalization, one has to have a physical motivation like an observable non-smooth field strength or so, I guess. Generalization for the sake of generalization may be useful, but it is a mathematical game first of all, in my opinion. I am not aware of such generalization, but I am not a specialist in this field.

A comment on a possible confusion: The gauge fields are connections on the principal bundle of the corresponding structure group. Tangent bundles are the ones we encounter in general relativity. 

Can you give an example of 'non-smooth fiber bundle' or 'some Special Kind of the gauge-groups?'  Not sure what you have in mind.

No I cannot. I do not know and nor can I see how it would work. Also my comment had not to do with your question, it was a clarification only.

I was asking OP.

Your answer

Please use answers only to (at least partly) answer questions. To comment, discuss, or ask for clarification, leave a comment instead.
To mask links under text, please type your text, highlight it, and click the "link" button. You can then enter your link URL.
Please consult the FAQ for as to how to format your post.
This is the answer box; if you want to write a comment instead, please use the 'add comment' button.
Live preview (may slow down editor)   Preview
Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
If you are a human please identify the position of the character covered by the symbol $\varnothing$ in the following word:
Then drag the red bullet below over the corresponding character of our banner. When you drop it there, the bullet changes to green (on slow internet connections after a few seconds).
Please complete the anti-spam verification

user contributions licensed under cc by-sa 3.0 with attribution required

Your rights