LIMITATIONS OF GAUGE INVARIANCE
LIMITATIONS OF GAUGE INVARIANCE
LIMITATIONS OF GAUGE INVARIANCE
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<strong>GAUGE</strong> EQUIVALENT – BUT DIFFERENT<br />
The most obvious difference is in the conservation of energy.<br />
Written as H = kinetic energy + potential energy = T + V:<br />
H<br />
T<br />
H' T'<br />
V<br />
<br />
constan t<br />
t<br />
;<br />
V' 0<br />
Evaluated with respective solutions: T = T' as expected.<br />
This must be so because kinetic energy is measurable in the laboratory<br />
and must be preserved by a gauge transformation.<br />
HOWEVER: V V . THIS IS A FUNDAMENTAL DIFFERENCE.<br />
In the original gauge, potential energy is converted into kinetic energy.<br />
After the gauge transformation, kinetic energy grows as t 2 with no<br />
source for this unlimited energy.<br />
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