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We report on some recent analytical results on the behaviour of the gluon and ghost propagators in Euclidean SU(2) Yang-Mills theory quantized in the maximal Abelian gauge (MAG). This gauge is of particular interest for the dual…

高能物理 - 理论 · 物理学 2011-08-04 M. A. L. Capri , D. Dudal , J. A. Gracey , V. E. R. Lemes , R. F. Sobreiro , S. P. Sorella , R. Thibes , H. Verschelde

Propagators of diagonal and off-diagonal gluons are studied numerically in the Maximally Abelian gauge of the SU(2) lattice gauge theory. We have found the strong enhancement of the diagonal gluon in the infrared region. The enhancement…

高能物理 - 格点 · 物理学 2009-11-10 V. G. Bornyakov , M. N. Chernodub , F. V. Gubarev , S. M. Morozov , M. I. Polikarpov

We analyze the lattice SU(2) Yang-Mills theory in Coulomb gauge. We show that the static gluon propagator is multiplicative renormalizable and takes the simple form $D(|\vec{p}|)^{-1}=\sqrt{|\vec{p}|^2+M^4/|\vec{p}|^2}$, proposed by Gribov…

高能物理 - 格点 · 物理学 2009-02-23 G. Burgio , M. Quandt , H. Reinhardt

In SU(3) lattice QCD formalism, we propose a method to extract gauge fields from link-variables analytically. With this method, we perform the first study on effective mass generation of off-diagonal gluons and infrared Abelian dominance in…

高能物理 - 格点 · 物理学 2013-05-30 Shinya Gongyo , Takumi Iritani , Hideo Suganuma

Gauge-invariant quantum fields are constructed in an Abelian power-counting renormalizable gauge theory with both scalar, vector and fermionic matter content. This extends previous results already obtained for the gauge-invariant…

高能物理 - 理论 · 物理学 2024-10-08 Andrea Quadri

In Dyson-Schwinger studies of the Yang-Mills propagators the four-gluon interaction has been usually neglected due to the related technical difficulties with the associated two-loop terms and especially their renormalization. A possible…

高能物理 - 理论 · 物理学 2013-02-05 Valentin Mader , Reinhard Alkofer

Exact Renormalization Group techniques are applied to supersymmetric models in order to get some insights into the low energy effective actions of such theories. Starting from the ultra-violet finite mass deformed N=4 supersymmetric…

高能物理 - 理论 · 物理学 2014-11-18 S. Arnone , S. Chiantese , K. Yoshida

In the paper, within the background field method, the renormalization and the gauge dependence is studied as for an SU(2) Yang-Mills theory with multiplets of spinor and scalar fields. By extending the quantum action of the BV-formalism…

高能物理 - 理论 · 物理学 2019-07-31 Igor A. Batalin , Peter M. Lavrov , Igor V. Tyutin

Motivated by the gluon condensate in QCD we study the perturbative expansion of a gauge theory in the presence of gauge bosons of vanishing momentum, in the specific case of an abelian theory. The background is characterised by a…

高能物理 - 唯象学 · 物理学 2010-10-27 Dennis D. Dietrich , Paul Hoyer , Matti Jarvinen , Stephane Peigne

We derive a gauge-invariant low-energy effective model of the SU(2) Yang-Mills theory. We find that the effective gluon propagator belongs to the Gribov-Stingl type, irrespective of the gauge choice. In the maximally Abelian gauge,…

高能物理 - 理论 · 物理学 2011-12-22 Kei-Ichi Kondo

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.…

高能物理 - 理论 · 物理学 2026-03-20 D. M. van Egmond , L. C. Ferreira , A. D. Pereira , G. Peruzzo , S. P. Sorella

The scope of constrained differential renormalization is to provide renormalized expressions for Feynman graphs, preserving at the same time the Ward identities of the theory. It has been shown recently that this can be done consistently at…

高能物理 - 唯象学 · 物理学 2007-05-23 F. del Aguila , M. Perez-Victoria

We discuss the application of two-particle-irreducible (2PI) functional techniques to gauge theories, focusing on the issue of non-perturbative renormalization. In particular, we show how to renormalize the photon and fermion propagators of…

高能物理 - 理论 · 物理学 2010-02-03 Urko Reinosa , Julien Serreau

We construct the most general gauge fixing and the associated Faddeev-Popov ghost term for the SU(2) Yang-Mills theory, which leaves the global U(1) gauge symmetry intact (i.e., the most general Maximal Abelian gauge). We show that the most…

高能物理 - 理论 · 物理学 2009-11-07 T. Shinohara , T. Imai , K. -I. Kondo

Despite its simplicity, the unitary gauge is not a popular choice for practical loop calculations in gauge theories, due to the lack of off-shell renormalizability. We study the renormalization properties of the off-shell Green functions of…

高能物理 - 理论 · 物理学 2009-11-07 Hidenori Sonoda

We construct the local Gribov-Zwanziger action for SU(2) Euclidean Yang-Mills theories in the maximally Abelian (MA) gauge with U(1)$_3$ Landau gauge fixing based on the Zwanziger's work in the Landau gauge. By the restriction of the…

高能物理 - 理论 · 物理学 2014-02-10 Shinya Gongyo , Hideaki Iida

We investigate gluon propagators and the effective mass of the gluon fields in the MA gauge with U(1)$_3 \times$ U(1)$_8$ Landau gauge fixing in SU(3) lattice QCD. The Monte Carlo simulation is performed on $16^4$ at $\beta$=5.7, 5.8 and…

高能物理 - 格点 · 物理学 2013-01-15 Shinya Gongyo , Hideo Suganuma , Takumi Iritani

A manifestly invariant renormalization scheme of N=1 nonabelian supersymmetric gauge theories is proposed.

高能物理 - 理论 · 物理学 2009-11-10 A. A. Slavnov , K. V. Stepanyantz

The ultraviolet asymptotic behavior of the gluon propagator is evaluated in the maximal Abelian gauge in the SU(2) gauge theory on the basis of the renormalization-group improved perturbation theory at the one-loop level. Square-root…

高能物理 - 唯象学 · 物理学 2016-09-06 S. M. Morozov , R. N. Rogalyov

We discuss the off-shell renormalization properties of the abelian Higgs model in the unitary gauge. The model is not renormalizable according to the usual power counting rules. In this paper, however, we show that with a proper choice of…

高能物理 - 理论 · 物理学 2016-09-06 Hidenori Sonoda