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A crucial step in extracting physical predictions from lattice QCD simulations is the scale setting, i.e. the determination of the lattice spacing ($a$) in physical units. Herein, the relative scale setting for different $\beta$'s is…

High Energy Physics - Lattice · Physics 2025-12-24 Orlando Oliveira , Paulo J Silva

We compute a compact OPE formula describing power corrections to the perturbative expression for the asymmetric $\widetilde{MOM}$-renormalized running coupling constant up to the leading logarithm. By the use of the phenomelogical…

High Energy Physics - Phenomenology · Physics 2016-08-16 F. De Soto , J. Rodríguez-Quintero

We evaluate numerically the momentum-space gluon propagator in the lattice Landau gauge, for three- and four-dimensional pure SU(2) lattice gauge theory. Although there are large finite-size effects, we always observe, in the limit of large…

High Energy Physics - Lattice · Physics 2007-05-23 Attilio Cucchieri

We compute the tree level cross section for gluon-gluon elastic scattering taking into account a dynamical gluon mass, and show that this mass scale is a natural regulator for this subprocess cross section. Using an eikonal approach in…

High Energy Physics - Phenomenology · Physics 2009-11-11 E. G. S. Luna , A. F. Martini , M. J. Menon , A. Mihara , A. A. Natale

The inclusion of a mass-like term for the gluon in Yang-Mills theories quantized in the Landau gauge has proven to be an effective way of reproducing lattice results for gauge-fixed correlation functions within perturbative computations.…

High Energy Physics - Theory · Physics 2026-03-20 D. M. van Egmond , L. C. Ferreira , A. D. Pereira , G. Peruzzo , S. P. Sorella

We give the hyperasymptotic expansion of the plaquette with a precision that includes the terminant associated to the leading renormalon. Subleading effects are also considered. The perturbative series is regulated using the principal value…

High Energy Physics - Phenomenology · Physics 2020-12-30 Cesar Ayala , Xabier Lobregat , Antonio Pineda

The dynamical mass generation for gluons is discussed in Euclidean Yang-Mills theories supplemented with a renormalizable mass term. The mass parameter is not free, being determined in a self-consistent way through a gap equation which…

High Energy Physics - Theory · Physics 2008-11-26 S. P. Sorella

On the basis of the non-perturbative Heisenberg's quantization scheme and using some simplifications and assumptions the reduction from the gluon-quark Lagrangian to a scalar-fermion Lagrangian is made. The corresponding field equations…

High Energy Physics - Phenomenology · Physics 2007-05-23 Vladimir Dzhunushaliev

In this paper, we construct a simple model for the complex heavy quark potential which is defined through the Fourier transform of the static gluon propagator. Besides the hard thermal loop resummed contribution, the gluon propagator also…

High Energy Physics - Phenomenology · Physics 2019-09-04 Yun Guo , Lihua Dong , Jisi Pan , Manoel R. Moldes

The CCFM equation and its extended form with a quadratic term (KGBJS equation) are solved with fixed and running coupling constant. The solution of the KGBJS equation is compared to gluon densities resulting from the CCFM and BK equations.…

High Energy Physics - Phenomenology · Physics 2013-11-13 Krzysztof Kutak , Dawid Toton

We investigate the Dyson-Schwinger equations for the gluon and ghost propagators and the ghost-gluon vertex of Landau-gauge gluodynamics in two dimensions. While this simplifies some aspects of the calculations as compared to three and four…

High Energy Physics - Theory · Physics 2012-11-20 Markus Q. Huber , Axel Maas , Lorenz von Smekal

A truncation scheme for the Dyson-Schwinger equations of QCD in Landau gauge is presented which implements the Slavnov-Taylor identities for the 3-point vertex functions. Neglecting contributions from 4-point correlations such as the…

High Energy Physics - Phenomenology · Physics 2011-04-15 Reinhard Alkofer , Steven Ahlig , Lorenz von Smekal

A model for quantized gravitation based on the simplicial lattice discretization is studied in detail using a comprehensive finite size scaling analysis combined with renormalization group methods. The results are consistent with a value…

High Energy Physics - Theory · Physics 2009-10-31 H. W. Hamber

Correlation functions of Landau gauge Yang-Mills theory are calculated from their equations of motion. Solutions for the three- and four-gluon vertices and the role of two-loop diagrams in the gluon propagator equation are discussed.

High Energy Physics - Phenomenology · Physics 2019-09-25 Markus Q. Huber

The renormalised quark Dyson-Schwinger equation is studied in the limit of the renormalised current heavy quark mass m_R --> infinity. We are particularly interested in the analytic pole structure of the heavy quark propagator in the…

High Energy Physics - Phenomenology · Physics 2009-10-30 C. J. Burden

It is widely accepted nowadays that gluons, while massless at the level of the fundamental QCD Lagrangian,acquire an effective mass through the non-Abelian implementation of the classic Schwinger mechanism. The key dynamical ingredient that…

High Energy Physics - Phenomenology · Physics 2022-11-09 J. Papavassiliou

Propagation of gluons in the confining vacuum is studied in the framework of the background perturbation theory, where nonperturbative background contains confining correlators. Two settings of the problem are considered. In the first the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Yu. A. Simonov

In this paper the Gribov gap equation at finite temperature is analyzed. The solutions of the gap equation (which depend explicitly on the temperature) determine the structure of the gluon propagator within the semi-classical Gribov…

High Energy Physics - Theory · Physics 2014-06-06 Fabrizio Canfora , Pablo Pais , Patricio Salgado-Rebolledo

This paper develops a renormalized perturbation theory framework for nonlinear structure formation in a broad class of modified gravity models that exhibit Vainshtein screening, with a focus on a viable subclass of Horndeski theories. We…

General Relativity and Quantum Cosmology · Physics 2025-08-29 Luca Amendola , Carla Bernal , Radouane Gannouji

The dynamical mass generation for gluons is discussed in Euclidean Yang-Mills theories supplemented with a renormalizable mass term. The mass parameter is not free, being determined in a self-consistent way through a gap equation which…

High Energy Physics - Theory · Physics 2015-06-26 S. P. Sorella