Higgs Phase of Gravity in String Theory - LUTh
Higgs Phase of Gravity in String Theory - LUTh
Higgs Phase of Gravity in String Theory - LUTh
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E<br />
dt<br />
dx<br />
→<br />
→<br />
→<br />
π →<br />
rE<br />
r<br />
r<br />
r<br />
−1<br />
−1/<br />
2<br />
1/<br />
4<br />
dt<br />
π<br />
dx<br />
Make<br />
<strong>in</strong>variant<br />
Scal<strong>in</strong>g dim <strong>of</strong> π is 1/4!<br />
not the same as the mass dim 1!<br />
2 2 ⎤<br />
∫<br />
3 ⎡1<br />
2 α(<br />
∇ π )<br />
dtd x⎢<br />
π − + <br />
2 ⎥<br />
⎣2<br />
M ⎦<br />
− P′<br />
M<br />
cf. This is the reason why higher terms such as<br />
2<br />
∇ are irrelevant at low E.<br />
∫<br />
3<br />
~ 2<br />
) ( π<br />
π<br />
dtd x<br />
M<br />
4 2<br />
( )( ∇π<br />
)
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