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Perturbation theory in the nonperturbative QCD vacuum and the non-Abelian Stokes theorem, representing a Wilson loop in the SU(2) gluodynamics as an integral over all the orientations in colour space, are applied to a derivation of the…

High Energy Physics - Theory · Physics 2014-11-18 D. V. Antonov , D. Ebert

Perturbation theory in the nonperturbative QCD vacuum and the non-Abelian Stokes theorem, representing a Wilson loop in the SU(2) gluodynamics as an integral over all the orientations in colour space, are applied to derivation of the…

High Energy Physics - Theory · Physics 2007-05-23 D. V. Antonov

Using cumulant expansion for an averaged Wilson loop we derive an action of the gluodynamics string in the form of a series in powers of the correlation length of the vacuum. In the lowest orders it contains the Nambu-Goto term and the…

High Energy Physics - Theory · Physics 2015-06-26 D. V. Antonov , D. Ebert , Yu. A. Simonov

The leading perturbative contributions into the two-point gauge-invariant correlator $Tr<gF(x)U(x,0)U(0,y)F(y)U(y,0)U(0,x)>$ are calculated at the one-loop order. It is shown, that nonlocal condensate is nonzero at this order. The relation…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. I. Shevchenko

The string representation of the Abelian projected SU(3)-gluodynamics partition function is derived by using the path-integral duality transformation. On this basis, we also derive analogous representations for the generating functionals of…

High Energy Physics - Theory · Physics 2010-05-27 Dmitri Antonov , Dietmar Ebert

The nonabelian Stokes theorem, representing a Wilson loop as an integral over all the orientations in colour space, and the cumulant expansion are used for derivation of the string effective action in SU(2) gluodynamics. The obtained theory…

High Energy Physics - Theory · Physics 2007-05-23 D. V. Antonov , D. Ebert

An effective string theory emerging from the bilocal approximation to the Method of Vacuum Correlators in gluodynamics is shown to be well described by the 4D theory of the massive Abelian Kalb-Ramond field interacting with the string,…

High Energy Physics - Theory · Physics 2009-10-31 D. V. Antonov

Results of evaluating the leading order $\alpha_s$ corrections to the correlator of tensor currents in pure gluodynamics are presented. These corrections to the parton result for the correlator are not large numerically that allows one to…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. A. Pivovarov

In this talk, various approaches to the problem of evaluation of the field strength correlators in the SU(3)-gluodynamics, which play the major role in the Stochastic Vacuum Model, are reviewed. This is done in the framework of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Dmitri Antonov

Nonperturbative and perturbative interaction mechanisms of Wilson loops in gluodynamics are studied within the background field formalism. The first one operates when distance between minimal surfaces of the loops is small and may be…

High Energy Physics - Phenomenology · Physics 2014-11-17 V. Shevchenko , Yu. Simonov

We try to separate the perturbative and non-perturbative contributions to the plaquette of pure SU(3) gauge theory. To do this we look at the large-n asymptotic behaviour of the perturbation series in order to estimate the contribution of…

High Energy Physics - Lattice · Physics 2008-11-26 R. Horsley , P. E. L. Rakow , G. Schierholz

We compute the O(g^2) contribution to the thermodynamic pressure for Wilson fermions in the standard, the twisted mass, and clover improved formulation in lattice perturbation theory, including finite mass effects. We compare the continuum…

High Energy Physics - Lattice · Physics 2010-05-28 Owe Philipsen , Lars Zeidlewicz

We study a systematic improvement of perturbation theory for gauge fields on the lattice [hep-lat/0606001]; the improvement entails resumming, to all orders in the coupling constant, a dominant subclass of tadpole diagrams. This method,…

High Energy Physics - Lattice · Physics 2008-11-26 Martha Constantinou , Haralambos Panagopoulos , Apostolos Skouroupathis

The effective string theory emerging from the bilocal approximation to the Method of Vacuum Correlators in gluodynamics is shown to be well described by the 4D theory of the massive Abelian Kalb-Ramond field interacting with the string,…

High Energy Physics - Theory · Physics 2009-10-30 D. V. Antonov

New nonlinear equations for field correlators in the large $N_c$ gluodynamics are derived. Nonperturbative confining correlators are shown to satisfy a system of nonlinear scale-invariant equations. Keeping only the simplest, bilocal…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yu. A. Simonov

Field correlators are expressed using background field formalism through the gluelump Green's functions. The latter are obtained in the path integral and Hamiltonian formalism. As a result behaviour of field correlators is obtained at small…

High Energy Physics - Phenomenology · Physics 2009-11-11 Yu. A. Simonov

We derive the perturbative expansion of Wilson loops to order g^4 in a SU(N) lattice gauge theory with twisted boundary conditions. Our expressions show that the thermodynamic limit is attained at infinite N for any number of lattice sites…

High Energy Physics - Lattice · Physics 2016-11-23 Margarita Garcia Perez , Antonio Gonzalez-Arroyo , Masanori Okawa

We calculate a correction to the electromagnetic current induced by a heavy quark loop. The contribution of this correction to the vacuum polarization function appears at the O(alpha_s^3) order of perturbation theory and has a qualitatively…

High Energy Physics - Phenomenology · Physics 2016-09-06 S. Groote , A. A. Pivovarov

We calculate the contribution of graviton exchange to the running of gauge couplings at lowest non-trivial order in perturbation theory. Including this contribution in a theory that features coupling constant unification does not upset this…

High Energy Physics - Theory · Physics 2008-11-26 Sean P. Robinson , Frank Wilczek

We discuss domain walls and vacuum energy density (cosmological constant) in N=1 gluodynamics and in non-supersymmetric large N orientifold field theories which have been recently shown to be planar equivalent (in the boson sector) to N=1…

High Energy Physics - Theory · Physics 2015-06-26 A. Armoni , M. Shifman
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