Conserved Current

In physics a conserved current is a current, that satisfies the continuity equation . The continuity equation represents a conservation law, hence the name.

Indeed, integrating the continuity equation over a volume, large enough to have no net currents through its surface, leads to the conservation law

where is the conserved quantity.

In gauge theories the gauge fields couple to conserved currents. For example, the electromagnetic field couples to the conserved electric current.

Read more about Conserved Current:  Conserved Quantities and Symmetries, Conserved Currents in Electromagnetism

Famous quotes containing the word current:

    Phlebas the Phoenician, a fortnight dead,
    Forgot the cry of gulls, and the deep sea swell
    And the profit and loss.
    A current under sea
    Picked his bones in whispers. As he rose and fell
    He passed the stages of his age and youth
    Entering the whirlpool.
    —T.S. (Thomas Stearns)