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187 papers · 1 filter
On the heavy monopole potential in gluodynamics
M. N. Chernodub, F. V. Gubarev, M. I. Polikarpov +1
We discuss predictions for the interaction energy of the fundamental monopoles in gluodynamics introduced via the 't Hooft loop. At short distances, the heavy monopole potential is…
Harmonic Twistor Formalism and Transgression on Hyperkähler manifolds
A. Gerasimov, A. Kotov
In this paper we continue our study of the fourth order transgression on hyperähler manifolds introduced in the previous paper. We give a local construction for the fourth-order tr…
Transgression on Hyperkähler Manifolds and Generalized Higher Torsion Forms
A. Gerasimov, A. Kotov
We propose a generalization of the Hodge -lemma to the case of hyperkähler manifolds. As an application of this result we derive the global construction of the fourth order t…
Q-power function over Q-commuting variables and deformed XXX, XXZ chains
S. Khoroshkin, A. Stolin, V. Tolstoy
We find certain functional identities for the Gauss q-power function of a sum of q-commuting variables. Then we use these identities to obtain two-parameter twists of the quantum a…
Integrable Many-Body Systems and Gauge Theories
A. Gorsky, A. Mironov
The review studies connections between integrable many-body systems and gauge theories. It is shown how the degrees of freedom in integrable systems are related with topological de…
Strong hadronic decays in QCD_2
Yu. S. Kalashnikova, A. V. Nefediev
Strong hadronic decays are discussed in the 't Hooft model for the two-dimensional QCD in the limit of infinite number of colours. Adler selfconsistency condition is derived for de…