# In string-net condensation, what does the quantized charge mean?

+ 3 like - 0 dislike
921 views
1. The electrical charge is quantized strictly for elementary particles. What kind ofconstraints does this fact imply when applied to string-net theory? For this question, I want to understand why electrical charges are quantized instead of having a continuous value. What part of the string-net theory quantize the charge?

2. Another question is how the end of a broken string generate a field that is almost uniform to different directions? The electron are claimed to be the end of a broken string. I imagine that at the end of a broken string, there should be one special direction, which is where the string is located. Why didn't we see it in electrons? Or is the string is in another dimension so the charge looks the same from all directions in 3D space?

This post imported from StackExchange Physics at 2015-05-14 21:18 (UTC), posted by SE-user CliffX

retagged May 14, 2015

In string-net theory, the density of the (oriented) string is a vector field $\vec E$. If string are all closed strings with no end, then $\vec \partial \cdot \vec E =0$. So the ends of the string are the source of $\vec E$, and correspond to the charge. The ends of strings are always discrete, impying that the charge is quantized. i.e. one end = charge-1.
 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): Email me at this address if my answer is selected or commented on: 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:p$\hbar$ysicsOverf$\varnothing$owThen 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