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We consider one-loop effective action of SU(3) QCD with a most general constant chromomagnetic (chromoelectric) background which has two independent Abelian field components. The effective potential with a pure magnetic background has a…

High Energy Physics - Phenomenology · Physics 2008-11-26 Y. M. Cho , J. H. Kim , D. G. Pak

A possible gluon-condensate-induced modified-gravity model with f(R) \propto |R|^{1/2} has been suggested previously. Here, a simplified version is presented using the constant flat-spacetime equilibrium value of the QCD gluon condensate…

Cosmology and Nongalactic Astrophysics · Physics 2011-12-20 F. R. Klinkhamer

Singular gauge fields in the partition function for QCD can lead to a domain-like picture for the QCD vacuum by virtue of constraints on quantum fluctuations at the singularities. With a simple model of hyperspherical domains with interiors…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. C. Kalloniatis , S. N. Nedelko

The effect of an external (electro)magnetic field on the finite temperature transition of QCD is studied. We generate configurations at various values of the quantized magnetic flux with $N_f=2+1$ flavors of stout smeared staggered quarks,…

High Energy Physics - Lattice · Physics 2012-02-29 G. S. Bali , F. Bruckmann , G. Endrodi , Z. Fodor , S. D. Katz , S. Krieg , A. Schafer , K. K. Szabo

We consider the free energy $W[J] = W_k(H)$ of QCD coupled to an external source $J_\mu^b(x) = H_\mu^b \cos(k \cdot x)$, where $H_\mu^b$ is, by analogy with spin models, an external "magnetic" field with a color index that is modulated by a…

High Energy Physics - Theory · Physics 2011-03-08 Daniel Zwanziger

We consider continuum-formulation QCD in four dimensions with twelve massless fundamental quark flavors. Splitting the SU(\(N\)) gauge field into background and fluctuation parts, we use well-developed techniques to calculate the one-loop…

High Energy Physics - Theory · Physics 2025-03-05 Seth Grable , Paul Romatschke

The Einstein equation in a semi-classical approximation is applied to a spherical region of the universe, with the stress-energy tensor consisting of the mass density and pressure of the LambdaCDM cosmological model plus an additional…

General Relativity and Quantum Cosmology · Physics 2024-12-11 Emilio Santos

Using the trace anomaly and low energy relations, as well as the Witten-Veneziano formula for the mass of the $\eta'$ meson, we have developed a formalism which makes it possible to express the gluon condensate, the topological…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Gogohia

Using effective potential approach for composite operators we have formulated quantum model of the QCD vacuum. It is based on the existence and importance of the nonperturbative $q^{-4}$, topologically nontrivial excitations of the gluon…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Gogohia

We study QCD finite energy sum rules (FESR) for the axial-vector current correlator in the presence of a magnetic field, in the weak field limit and at zero temperature. We find that the perturbative QCD as well as the hadronic contribution…

High Energy Physics - Phenomenology · Physics 2015-07-29 Alejandro Ayala , C. A. Dominguez , L. A. Hernandez , M. Loewe , Juan Cristobal Rojas , Cristian Villavicencio

The Cornell potential with the best fitted parameters $\alpha_{s}$ and $\kappa$ are modified by adding terms derived from non-perturbative QCD, which are characterized by a series of non-vanishing vacuum condensates of quarks and gluons. In…

High Energy Physics - Phenomenology · Physics 2008-11-26 Y. B. Ding , X. -H. Guo , X. Q. Li , P. N. Shen

We investigate the vacuum energy density induced by quantum fluctuations of a bulk scalar field with general curvature coupling parameter on two codimension one parallel branes in a $(D+1)$-dimensional background spacetime…

High Energy Physics - Theory · Physics 2007-05-23 A. A. Saharian

Using the Cornwall-Jackiw-Tomboulis effective potential for composite operators we compute the QCD vacuum energy as a function of the dynamical quark and gluon propagators, which are related to their respective condensates as predicted by…

High Energy Physics - Phenomenology · Physics 2009-10-31 E. V. Gorbar , A. A. Natale

We study some consequences of dimensionally reducing systems with massless fermions and Abelian gauge fields from 3+1 to 2+1 dimensions. We first consider fermions in the presence of an external Abelian gauge field. In the reduced theory,…

High Energy Physics - Theory · Physics 2009-10-31 C. D. Fosco , A. Lopez , F. A. Schaposnik

The effect of a magnetic field on the charged vacuum is investigated. The field dependence of the energy levels causes jumps in the total vacuum charge that occur whenever an energy level crosses the Fermi level and this leads to re-entrant…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 P. A. Maksym , H. Aoki

The dual Meissner effect is described and numerically observed in a gauge-invariant way in lattice Monte-Carlo simulations of pure SU(2) QCD. A gauge-invariant Abelian-like field strength is defined in terms of a unit-vector in color space…

High Energy Physics - Lattice · Physics 2007-05-23 Tsuneo Suzuki , Katsuya Ishiguro , Yoshifumi Nakamura , Toru Sekido

We investigate the effect of a non-perturbative gluon condensate on the spectrum of bound states of extremely heavy quarks using Non-Relativistic-QCD (NRQCD). Simulations are done with an improved gluon action on small lattices. We compare…

High Energy Physics - Lattice · Physics 2009-10-28 J. Fingberg

The dual Meissner effect is observed without monopoles in quenched $SU (2)$ QCD with Landau gauge-fixing. Magnetic displacement currents which are time-dependent Abelian magnetic fields play a role of solenoidal currents squeezing Abelian…

High Energy Physics - Lattice · Physics 2009-11-10 Tsuneo Suzuki , Katsuya Ishiguro , Yoshihiro Mori , Toru Sekido

We derive the low-energy limit of quantum chromodynamics (QCD) and provide evidence that in the 't Hooft limit, i.e. for a very large number of colors and increasing 't Hooft coupling, quark confinement is recovered. The low energy limit of…

High Energy Physics - Phenomenology · Physics 2023-10-10 Marco Frasca , Anish Ghoshal , Stefan Groote

Using the trace anomaly relation, low-energy theorem and Witten-Veneziano formula, we have developed an analytical formalism which allows one to calculate the gluon condensate, the topological susceptibility and the mass of the $\eta'$…

High Energy Physics - Phenomenology · Physics 2014-11-17 V. Gogohia , H. Toki