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We study the effective action in Euclidean Yang-Mills theory with a compact simple gauge group in one-loop approximation assuming a covariantly constant gauge field strength as a background. For groups of higher rank and spacetimes of…

高能物理 - 理论 · 物理学 2015-06-26 Ivan G. Avramidi

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…

高能物理 - 理论 · 物理学 2014-11-18 D. V. Antonov , D. Ebert

We derive the analytic expression for the one-loop $SU(N_{c})$ QCD effective potential including $N_{f}$ flavor quarks which non-linearly interact with the chromo-magnetic background field and the external $U(1)_{em}$ magnetic field. After…

高能物理 - 唯象学 · 物理学 2014-03-26 Sho Ozaki

The normalization of the gluon condensate and of renormalon-related power corrections in QCD is computed under the assumption that their ``perturbative'' part dominates over any eventual extra contribution from the non-trivial vacuum. The…

高能物理 - 唯象学 · 物理学 2010-02-03 Georges Grunberg

We discuss our study of QCD in the presence of CP-odd electromagnetic (e.m.) background fields. We investigate the propagation of the CP-odd term from the e.m. sector to the strong sector, inducing an effective $\theta$ term. We discuss the…

高能物理 - 格点 · 物理学 2013-12-11 Claudio Bonati , Guido Cossu , Massimo D'Elia , Marco Mariti , Francesco Negro

Using Hopf-algebraic structures as well as diagrammatic techniques for determining the Slavnov-Taylor identities for QCD we construct the relations for the triple and quartic gluon vertices at one loop. By making the longitudinal projection…

高能物理 - 理论 · 物理学 2019-10-09 J. A. Gracey , H. Kissler , D. Kreimer

The two-loop invariant (running) coupling of QCD is written in terms of the Lambert W function. The analyticity structure of the coupling in the complex Q^2-plane is established. The corresponding analytic coupling is reconstructed via a…

高能物理 - 唯象学 · 物理学 2016-12-28 B. Magradze

The Gel'fand-Yaglom theorem has been used to calculate the one-loop effective action in quantum field theory by means of the "partial-wave-cutoff method". This method works well for a wide class of background fields and is essentially…

高能物理 - 理论 · 物理学 2022-06-29 Adolfo Huet , Idrish Huet , Octavio Cornejo

We construct a QCD coupling ${\mathcal{A}}(Q^2)$ in the Effective Charge (ECH) scheme of the canonical part $d(Q^2)$ of the (inelastic) polarised Bjorken Sum Rule (BSR) ${\overline \Gamma}_1^{{\rm p-n}}(Q^2)$. In the perturbative domain,…

高能物理 - 唯象学 · 物理学 2024-12-13 Cesar Ayala , Gorazd Cvetic

We develop the in-out formalism for one-loop effective actions in electromagnetic fields in the space-dependent gauge. We further advance a method using the inverse scattering matrix to calculate the effective actions in pure magnetic…

高能物理 - 理论 · 物理学 2011-07-22 Sang Pyo Kim

Lattice sum rules are checked using lattice perturbation theory. The action sum rule gives a relation between the quark-antiquark potential, its logarithmic derivative with respect to distance and the expectation value of the action; the…

高能物理 - 格点 · 物理学 2007-05-23 B. Feuerbacher

The background field method for N=2 super Yang-Mills theories in harmonic superspace is developed. The ghost structure of the theory is investigated. It is shown that the ghosts include two fermionic real omega-hypermultiplets…

高能物理 - 理论 · 物理学 2009-10-30 I. L. Buchbinder , E. I. Buchbinder , S. M. Kuzenko , B. A. Ovrut

Due to the nonperturbative masslessness of the ghost field, ghost loops that contribute to gluon Green's functions in the Landau gauge display infrared divergences, akin to those one would encounter in a conventional perturbative treatment.…

高能物理 - 唯象学 · 物理学 2015-09-02 Daniele Binosi

We calculate an effective Polyakov line action of QCD at large Nc and large Nf from a combined lattice strong coupling and hopping expansion working to second order in both, where the order is defined by the number of windings in the…

高能物理 - 格点 · 物理学 2015-06-18 Alexander S. Christensen , Joyce C. Myers , Peter D. Pedersen

The effective one-loop action for general dilaton theories with arbitrary dilaton-dependent measure and nonminimal coupling to scalar matter is computed. As an application we determine the Hawking flux to infinity from black holes in…

高能物理 - 理论 · 物理学 2016-08-25 W. Kummer , D. V. Vassilevich

The Polyakov world-line path integral describing the propagation of gluon field quanta is constructed by employing the background gauge fixing method and is subsequently applied to analytically compute the divergent terms of the one…

高能物理 - 理论 · 物理学 2009-11-07 S. D. Avramis , A. I. Karanikas , C. N. Ktorides

We study the effective action describing high-energy scattering processes in the multi-Regge limit of QCD, which should provide the starting point for a new attempt to overcome the limitations of the leading logarithmic and the eikonal…

高能物理 - 理论 · 物理学 2009-10-28 R. Kirschner , L. N. Lipatov , L. Szymanowski

We revisit the effective field theory of long relativistic strings such as confining flux tubes in QCD. We derive the Polchinski-Strominger interaction by a calculation in static gauge. This interaction implies that a non-critical string…

高能物理 - 理论 · 物理学 2013-02-18 Sergei Dubovsky , Raphael Flauger , Victor Gorbenko

We evaluate the quartic ghost and quark Green's functions as well as the gluon-ghost, gluon-quark and ghost-quark 4-point functions of Quantum Chromodynamics at one loop at the fully symmetric point in a linear covariant gauge. Similar…

高能物理 - 唯象学 · 物理学 2017-03-29 J. A. Gracey

We investigate the Landau-level structures encoded in the famous Heisenberg-Euler (HE) effective action in constant electromagnetic fields. We first discuss the HE effective actions for scalar and spinor QED, and then extend it to the QCD…

高能物理 - 唯象学 · 物理学 2020-01-22 Koichi Hattori , Kazunori Itakura , Sho Ozaki