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Proceedings of International Conference on Physics in ... - KEK

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neutral pair plasma producti<strong>on</strong> as shown <strong>in</strong> Fig. 3 with 10<br />

kJ class PW laser NIF-ARC to be completed <strong>in</strong> 2013 [23].<br />

VACUUM BRAKDOWN<br />

With more <strong>in</strong>crease <str<strong>on</strong>g>of</str<strong>on</strong>g> laser <strong>in</strong>tensity higher than<br />

10 22 W/cm 2 , we have a possibility to use all laser energy<br />

to create the pair plasma fireball. This physics is based <strong>on</strong><br />

an excit<strong>in</strong>g physics <str<strong>on</strong>g>of</str<strong>on</strong>g> the vacuum breakdown with laser<br />

fields. In this case, we use the vacuum as target to<br />

produce the pair plasma. The pair plasma creati<strong>on</strong> itself is<br />

a t<strong>in</strong>y topic, but the dem<strong>on</strong>strati<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> “Vacuum<br />

Breakdown” is more dramatic target for the research.<br />

The vacuum breakdown started to be <strong>on</strong>e <str<strong>on</strong>g>of</str<strong>on</strong>g> the argu<strong>in</strong>g<br />

topics just after the paper <str<strong>on</strong>g>of</str<strong>on</strong>g> relativistic quantum<br />

mechanics with Dirac equati<strong>on</strong> [24]. N . B o W h . r ,<br />

Heisenberg, and so <strong>on</strong> predicted the vacuum breakdown<br />

as “Gedanken experiment”. It is now go<strong>in</strong>g to be a real<br />

experiment thanks to the progress <str<strong>on</strong>g>of</str<strong>on</strong>g> laser technology.<br />

When the laser <strong>in</strong>tensity exceeds 10 24 W/cm 2 , we<br />

can expect the follow<strong>in</strong>g three different physics scenario<br />

with <strong>in</strong>crease <str<strong>on</strong>g>of</str<strong>on</strong>g> the laser <strong>in</strong>tensity.<br />

(1) Vacuum breakdown due to the pair avalanche<br />

triggered by the <strong>in</strong>duced pair producti<strong>on</strong><br />

(2) Vacuum breakdown due to the pair avalanche<br />

by sp<strong>on</strong>taneous pair producti<strong>on</strong><br />

(3) Vacuum breakdown without the avalanche near<br />

and over the Schw<strong>in</strong>ger limit<br />

When the c<strong>on</strong>cept <str<strong>on</strong>g>of</str<strong>on</strong>g> Dirac sea is proposed, dist<strong>in</strong>guished<br />

physicists predicted that if a str<strong>on</strong>g electric field is<br />

imposed <strong>in</strong> the vacuum, electr<strong>on</strong>-positr<strong>on</strong> pairs appears<br />

because <str<strong>on</strong>g>of</str<strong>on</strong>g> the tunnel<strong>in</strong>g effect <str<strong>on</strong>g>of</str<strong>on</strong>g> quantum particles.<br />

Heisenberg’s uncerta<strong>in</strong> pr<strong>in</strong>ciple requires the existence <str<strong>on</strong>g>of</str<strong>on</strong>g><br />

quantum noise energy even <strong>in</strong> a complete vacuum. This<br />

means any particle with a f<strong>in</strong>ite energy shows its face <strong>in</strong> a<br />

very short time <strong>in</strong> the vacuum because the uncerta<strong>in</strong><br />

pr<strong>in</strong>ciple requires ∆ε∆t ≥ 1/2ℏ. If we assume ∆ε = mc 2 ,<br />

then we obta<strong>in</strong> ∆t ~ 10 -21 s. If dur<strong>in</strong>g this extremely short<br />

time, we can give the energy <str<strong>on</strong>g>of</str<strong>on</strong>g> the order <str<strong>on</strong>g>of</str<strong>on</strong>g> the rest mass<br />

and separate the pair over a substantial distance to avoid<br />

sp<strong>on</strong>taneous annihilati<strong>on</strong>, real pair is created.<br />

The critical value <str<strong>on</strong>g>of</str<strong>on</strong>g> such extremely str<strong>on</strong>g electric<br />

field E can easily obta<strong>in</strong>ed with the relati<strong>on</strong>

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