Open main menu
Home
Random
Recent changes
Special pages
Community portal
Preferences
About Wikipedia
Disclaimers
Incubator escapee wiki
Search
User menu
Talk
Dark mode
Contributions
Create account
Log in
Editing
Quantum chromodynamics
(section)
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.
Edit summary
(Briefly describe your changes)
By publishing changes, you agree to the
Terms of Use
, and you irrevocably agree to release your contribution under the
CC BY-SA 4.0 License
and the
GFDL
. You agree that a hyperlink or URL is sufficient attribution under the Creative Commons license.
Cancel
Editing help
(opens in new window)