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Exact Results for 't Hooft Loops in Gauge Theories ... - Solvay Institutes

Exact Results for 't Hooft Loops in Gauge Theories ... - Solvay Institutes

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Introduction Problem Def<strong>in</strong>itions Method Solution Result<br />

Now consider<br />

Integrat<strong>in</strong>g by parts we get<br />

∫<br />

Z t = [Dφ] e −S 0[φ]−t{Q,V [φ]}<br />

d<br />

dt Z t = 0 =⇒ Z 0 = Z ∞<br />

At t = ∞ the one-loop approximation to Z t is exact. But<br />

Z t = Z 0 . Hence we get exact Z 0 .<br />

Vasily Pestun Localization <strong>for</strong> ’t <strong>Hooft</strong> operators on S 4 11/35

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