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In view of the expectation that the existence of complex poles is a signal of confinement, we investigate the analytic structure of the gluon, quark, and ghost propagators in the Landau gauge QCD and QCD-like theories by employing an…

高能物理 - 理论 · 物理学 2020-05-28 Yui Hayashi , Kei-Ichi Kondo

The three gluon one particle irreducible function is investigated using lattice QCD simulations over a large region of momentum in the Landau gauge for four dimensional pure Yang-Mills equations and the SU(3) gauge group. The results favor…

高能物理 - 格点 · 物理学 2016-10-12 Anthony G. Duarte , Orlando Oliveira , Paulo J. Silva

Higher-point functions in N = 4 super Yang-Mills theory can be constructed using integrability by triangulating the surfaces on which Feynman graphs would be drawn. It remains hard to analytically compute the necessary re-gluing of the…

高能物理 - 理论 · 物理学 2024-11-13 Giulio Crisanti , Burkhard Eden , Maximilian Gottwald , Pierpaolo Mastrolia , Tobias Scherdin

This work presents concisely the results obtained from the analysis of the two-point function of the gauge field in the $SU(2)$ and $SU(2)\times U(1)$ gauge theories, in the Landau gauge, coupled to a scalar Higgs field in the fundamental…

高能物理 - 理论 · 物理学 2015-07-01 I. F. Justo , M. A. L. Capri , D. Dudal , A. J. Gómez , M. S. Guimaraes , S. P. Sorella , D. Vercauteren

The correlation lengths of nonperturbative-nonconfining and confining stochastic background Yang-Mills fields are obtained by means of a direct analytic path-integral evaluation of the Green functions of the so-called one- and two-gluon…

高能物理 - 唯象学 · 物理学 2011-01-06 Dmitri Antonov

$\mathcal{N} = 1$ supersymmetric Yang-Mills theory describes gluons interacting with gluinos, which are spin-$\frac{1}{2}$ Majorana particles in the adjoint representation of the gauge group. In addition to glueballs and mesonic bound…

高能物理 - 格点 · 物理学 2021-11-30 Sajid Ali , Georg Bergner , Camilo Lopez , Istvan Montvay , Gernot Münster , Stefano Piemonte

A modifed Faddeev-Popov path integral density for the quantization of Yang-Mills theory in the Feynman gauge is discussed, where contributions of the Faddeev-Popov ghost fields are replaced by multi-point gauge field interactions. An…

高能物理 - 理论 · 物理学 2018-03-22 Helmuth Huffel , Danijel Markovic

We derive the partition function for the SU(3) Yang-Mills theory in the presence of a uniform gluon field within the background field method. We show, that the $n$-body gluon contributions in the partition function are characterized solely…

高能物理 - 唯象学 · 物理学 2015-06-04 Chihiro Sasaki , Krzysztof Redlich

We examine the possibility that there may exist a logarithmic correction to the infrared asymptotic solution with power behavior which has recently been found for the gluon and Faddeev-Popov ghost propagators in the Landau gauge. We propose…

高能物理 - 理论 · 物理学 2010-04-05 Kei-Ichi Kondo

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

We review the infrared properties of the pure Yang-Mills correlators and discuss recent results concerning the two classes of low-momentum solutions for them reported in literature; i.e. decoupling and scaling solutions. We will mainly…

高能物理 - 唯象学 · 物理学 2015-05-30 Ph. Boucaud , J. P. Leroy , A. Le Yaouanc , J. Micheli , O. Péne , J. Rodríguez-Quintero

The understanding of the non-perturbative regime of YM theories remains a challenging open problem in theoretical physics. Notably, a satisfactory description of the confinement of gluons is not at our disposal so far. In this thesis, the…

高能物理 - 理论 · 物理学 2016-07-04 A. D. Pereira

Solutions for the three-gluon and quark-gluon vertices from Dyson-Schwinger equations and the three-particle irreducible formalism are discussed. Dynamical quarks (``unquenching'') change the three-gluon vertex via the quark-triangle…

高能物理 - 唯象学 · 物理学 2017-04-05 Adrian L. Blum , Reinhard Alkofer , Markus Q. Huber , Andreas Windisch

We study the Hamiltonian approach to 1+1 dimensional Yang-Mills theory in Coulomb gauge, considering both the pure Coulomb gauge and the gauge where in addition the remaining constant gauge field is restricted to the Cartan algebra. We…

高能物理 - 理论 · 物理学 2008-10-22 H. Reinhardt , W. Schleifenbaum

We develop a general power counting scheme for the infrared limit of Landau gauge SU(N) Yang-Mills theory in arbitrary dimensions. Employing a skeleton expansion, we find that the infrared behavior is qualitatively independent of the…

高能物理 - 唯象学 · 物理学 2008-11-26 Markus Q. Huber , Reinhard Alkofer , Christian S. Fischer , Kai Schwenzer

The renormalization of N=1 Super Yang-Mills theory is analysed in the Wess-Zumino gauge, employing the Landau condition. An all orders proof of the renormalizability of the theory is given by means of the Algebraic Renormalization…

高能物理 - 理论 · 物理学 2014-05-19 M. A. L. Capri , D. R. Granado , M. S. Guimaraes , I. F. Justo , L. Mihaila , S. P. Sorella , D. Vercauteren

Yang-Mills theories undergo a deconfining phase transition at a critical temperature. In lattice calculations the temporal Wilson loop and Z_3 order parameter show above this temperature a behavior typical of deconfinement. A quantity of…

高能物理 - 唯象学 · 物理学 2017-08-23 Axel Maas , Burghard Grueter , Reinhard Alkofer , Jochen Wambach

We investigate finite volume effects in the propagators of Landau gauge Yang-Mills theory using Dyson-Schwinger equations on a 4-dimensional torus. In particular, we demonstrate explicitly how the solutions for the gluon and the ghost…

高能物理 - 唯象学 · 物理学 2008-11-26 Christian S. Fischer , Axel Maas , Jan M. Pawlowski , 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…

高能物理 - 唯象学 · 物理学 2007-05-23 Andreas Hauck , Reinhard Alkofer , Lorenz von Smekal

Infrared behavior of the Landau gauge gluon propagators is studied numerically in the 3d SU(2) gauge theory on the lattice. A special accent is made on the study of Gribov copy effect. For this study we employ an efficient gauge-fixing…

高能物理 - 格点 · 物理学 2013-10-30 V. G. Bornyakov , V. K. Mitrjushkin , R. N. Rogalyov