Jump to content
Main menu
Main menu
move to sidebar
hide
Navigation
Main page
Recent changes
Random page
Help about MediaWiki
Special pages
Niidae Wiki
Search
Search
Appearance
Create account
Log in
Personal tools
Create account
Log in
Pages for logged out editors
learn more
Contributions
Talk
Editing
Quantum chromodynamics
(section)
Page
Discussion
English
Read
Edit
View history
Tools
Tools
move to sidebar
hide
Actions
Read
Edit
View history
General
What links here
Related changes
Page information
Appearance
move to sidebar
hide
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
===Area law and confinement=== Detailed computations with the above-mentioned Lagrangian<ref>See all standard textbooks on the QCD, e.g., those noted above</ref> show that the effective potential between a quark and its anti-quark in a [[meson]] contains a term that increases in proportion to the distance between the quark and anti-quark (<math>\propto r</math>), which represents some kind of "stiffness" of the interaction between the particle and its anti-particle at large distances, similar to the [[entropic force|entropic elasticity]] of a [[rubber]] band (see below). This leads to ''confinement'' <ref>''Confinement'' gives way to a [[quark–gluon plasma]] only at extremely large pressures and/or temperatures, e.g. for <math>T \approx 5\cdot 10^{12}</math> K or larger.</ref> of the quarks to the interior of hadrons, i.e. [[meson]]s and [[nucleon]]s, with typical radii ''R''<sub>c</sub>, corresponding to former "[[Bag model]]s" of the hadrons<ref>[[Kenneth Alan Johnson]]. (July 1979). The bag model of quark confinement. ''Scientific American''.</ref> The order of magnitude of the "bag radius" is 1 fm (= 10<sup>−15</sup> m). Moreover, the above-mentioned stiffness is quantitatively related to the so-called "area law" behavior of the expectation value of the Wilson loop product ''P''<sub>W</sub> of the ordered coupling constants around a closed loop ''W''; i.e. <math>\,\langle P_W\rangle</math> is proportional to the ''area'' enclosed by the loop. For this behavior the non-abelian behavior of the gauge group is essential.
Summary:
Please note that all contributions to Niidae Wiki may be edited, altered, or removed by other contributors. If you do not want your writing to be edited mercilessly, then do not submit it here.
You are also promising us that you wrote this yourself, or copied it from a public domain or similar free resource (see
Encyclopedia:Copyrights
for details).
Do not submit copyrighted work without permission!
Cancel
Editing help
(opens in new window)
Search
Search
Editing
Quantum chromodynamics
(section)
Add topic