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Diagrammatic algorithms and Schwinger-Dyson equations

... Worm-like algorithms from SchwingerDyson equations Basic idea: • Extension of the worm algorithm: W[C] ~ probability to obtain loop C in some random process • Solve QCD Loop equations: interpret them as steadystate equations for some random process • W[C] in general not positive – reweighting neces ...
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... Here we prove the Virial Theorem, which relates the time-averaged kinetic energy for a bounded system to a quantity called the virial, which is just a time-averaged dot product of the force and position of the various particles in the system. In its basic form, the virial theorem does not have a cle ...
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... So far no approximations have been made in the derivation of the Hamiltonian from the Darwin Lagrangian. This expression, however, still contains velocities, explicitly in the last sum, and implicitly in A . In order to concentrate on essentials we assume, from now on, that there are no external el ...
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Routhian mechanics

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