Gluon condensates from the Hamiltonian formalism

Preprint number: CP3-Origins-2013-51 DNRF90 and DIAS-2013-51
Authors: Vladimir Prochazka (Edinburgh University) and Roman Zwicky (CP3-Origins & DIAS, Edinburgh University)
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We derive recently obtained relations, relating the logarithmic gauge coupling derivative of the hadron mass and the cosmological constant to the matter and vacuum gluon condensates, within a Hamiltonian framework. The key idea is a canonical transformation which brings the relevant part of the Hamiltonian into a suitable form. Furthermore we illustrate the relations within the Schwinger model and N = 2 super Yang Mills theory (Seiberg-Witten theory).