Born-Infeld Theory:
Born-Infeld Theory:
Born-Infeld Theory:
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<strong>Born</strong>-<strong>Infeld</strong> W<br />
Our aim is to calculate energy density and pressure of<br />
tachyon fields T<br />
0 1 1<br />
ρ T = T0= − + V<br />
b 1−<br />
bT b<br />
W<br />
T<br />
2<br />
t<br />
P<br />
bT<br />
= =− −<br />
ρ + − −<br />
2<br />
i 1 1−<br />
bTt<br />
PT = Ti = − −V<br />
b b<br />
T<br />
T<br />
1<br />
1 ( bV ( T )<br />
2<br />
t<br />
1) 1<br />
2<br />
bTt<br />
For any suitable choice of potential V(T) state parameter less than -1!!!<br />
Typically people used String motivated potential<br />
⎛ T ⎞ −<br />
To<br />
VT ( ) = V⎜1+ ⎟e<br />
0<br />
⎝ T0<br />
⎠<br />
T
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