• 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.


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

203 submissions , 161 unreviewed
5,006 questions , 2,162 unanswered
5,341 answers , 22,655 comments
1,470 users with positive rep
815 active unimported users
More ...

  Count degrees of freedom of gauge tensors

+ 0 like - 0 dislike

For degrees of freedom (dof)

- it is said that spin-1 massless boson like photon has 2 dof in 4d, like U(1) gauge theory.

- it is said that spin-2 massless boson like photon has 2 dof in 4d, like Einstein gravity theory.

>Can we demonstrate the following dof counting of gauge bosons of the 
gauge theories:

>- What is the dof of 3d U(1)$_k$ Chern-Simons theory?

>- What is the dof of 4d SU(n) non-abelian gauge theory?

>- What is the dof of any d-dim Einstein gravity of spin-2 bosons?

Partial answers are welcome

asked Sep 24, 2019 in Theoretical Physics by annie marie heart (1,205 points) [ revision history ]

Just count how many independent polarization vectors you must specify in the initial state (or measure in the final state).

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).
To avoid this verification in future, please log in or register.

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

Your rights