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Gauge/gravity duality: an overview Z. Bajnok

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Qu<strong>an</strong>tum electrodynamics<br />

Relativity theory: A µ = (Φ, A)<br />

electric + magnetic int: F µν<br />

+Qu<strong>an</strong>tum theory→ QED<br />

U(1) gauge theory: A µ (x) → A µ (x) + ∂ µ Λ(x)<br />

electron<br />

electron<br />

photon<br />

L = −4 1 F 2 + ¯Ψ(i∂/ − m)Ψ − e ¯ΨA/Ψ<br />

experiment: µ = g2mc e s where g = 2(1 + a)<br />

Gabrielse et.al.: a = 1159652180.85(.76) × 10 −12<br />

Feynm<strong>an</strong>: If you w<strong>an</strong>t<br />

to learn about nature,<br />

to appreciate nature,<br />

it is necessary to underst<strong>an</strong>d<br />

the l<strong>an</strong>guage<br />

that she speaks in.<br />

Qu<strong>an</strong>tum<br />

gauge theory<br />

perturbation theory:<br />

Feynm<strong>an</strong> graphs<br />

α<br />

2π =<br />

2πc e2 = 0.001161 = + +...<br />

g<br />

2<br />

= 1 − 1.3140 α 2π<br />

momentum-dependent coupling:<br />

(127) −1<br />

β(α) = µ ∂α<br />

∂µ > 0 (137) −1<br />

Μ Ζ<br />

α<br />

5

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