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We derive asymptotic freedom of gluons in terms of the renormalized $SU(3)$ Yang-Mills Hamiltonian in the Fock space. Namely, we use the renormalization group procedure for effective particles (RGPEP) to calculate the three-gluon…

高能物理 - 唯象学 · 物理学 2016-04-20 María Gómez-Rocha , Stanisław D. Głazek

The infrared behavior of Yang-Mills theory at finite temperature provides access to the role of confinement. In this review recent results on this topic from lattice calculations and especially Dyson-Schwinger studies are discussed. These…

高能物理 - 唯象学 · 物理学 2009-11-11 Axel Maas

Physical quantities in gauge theories have to be gauge-independent. However their evaluation can be greatly simplified by working in particular gauges. Since physical quantities have to be gauge invariant, it is important to establish an…

高能物理 - 唯象学 · 物理学 2015-09-15 Andrea Quadri

It is shown that the formulation of the SU(3) Yang-Mills quantum Hamiltonian in the "flux-tube gauge" $A_{a1}=0$ for all a=1,2,4,5,6,7 and $A_{a2}=0$ for all a=5,7 allows for a systematic and practical strong coupling expansion of the…

高能物理 - 理论 · 物理学 2021-12-15 Hans-Peter Pavel

The renormalization group equations of the Yang-Mills theory are examined in the non-critical string theory according to the framework of the holography. Under a simple ansatz for the tachyon, we could find several interesting solutions…

高能物理 - 唯象学 · 物理学 2009-10-31 Kazuo Ghoroku

We present a general algorithm to compute off-shell, one-loop multigluon Green functions using bosonic string amplitudes. We identify and parametrize the regions in the space of moduli of one-loop Riemann surfaces that contribute to the…

高能物理 - 唯象学 · 物理学 2009-10-31 Alberto Frizzo , Lorenzo Magnea , Rodolfo Russo

We study the Landau gauge correlators of Yang-Mills fields for infrared Euclidean momenta in the context of a massive extension of the Faddeev-Popov Lagrangian which, we argue, underlies a variety of continuum approaches. Standard…

高能物理 - 理论 · 物理学 2017-08-11 Urko Reinosa , Julien Serreau , Matthieu Tissier , Nicolás Wschebor

An unconstrained Hamiltonian formulation of the SU(3) Yang-Mills quantum mechanics of spatially constant fields is given using the method of minimal embedding of SU(2) into SU(3) by Kihlberg and Marnelius. Using a canonical transformation…

高能物理 - 理论 · 物理学 2012-05-27 Hans-Peter Pavel

In a recent work we have proposed a perturbative approach for the study of the phase transition of pure Yang-Mills theories at finite temperature. This is based on a simple massive extension of background field methods in the Landau-DeWitt…

高能物理 - 理论 · 物理学 2015-06-23 U. Reinosa , J. Serreau , M. Tissier , N. Wschebor

We study some features of the confining string connecting a quark-anti-quark pair in Yang-Mills theory. Monte Carlo investigations of the flux tube between two static quarks in the fundamental representation show that its thickness…

高能物理 - 格点 · 物理学 2011-03-28 M. Pepe

In U(1) lattice gauge theory in three spacetime dimensions, the problem of confinement can be studied analytically in a semi-classical approach, in terms of a gas of monopoles with Coulomb-like interactions. In addition, this theory can be…

高能物理 - 格点 · 物理学 2015-01-27 Michele Caselle , Marco Panero , Roberto Pellegrini , Davide Vadacchino

A general method to treat non-Gaussian vacuum wave functionals in the Hamiltonian formulation of a quantum field theory is presented. By means of Dyson--Schwinger techniques, the static Green functions are expressed in terms of the kernels…

高能物理 - 理论 · 物理学 2010-12-21 Davide R. Campagnari , Hugo Reinhardt

The correlation functions of open Wilson line operators in two-dimensional Yang-Mills theory on the noncommutative torus are computed exactly. The correlators are expressed in two equivalent forms. An instanton expansion involves only…

高能物理 - 理论 · 物理学 2009-11-10 L. D. Paniak , R. J. Szabo

Four-point one-loop nonsupersymmetric pure Yang-Mills amplitudes with the duality between color and kinematics manifest have been constructed in previous work. Here, we extend the discussion to fermions and scalars circulating in the loop…

高能物理 - 理论 · 物理学 2015-11-04 Josh Nohle

In this paper we study the two-body bound states for gluons and ghosts in a massive Yang-Mills theory which is obtained by generalizing the ordinary massless Yang-Mills theory in a manifestly Lorentz covariant gauge. First, we give a…

高能物理 - 理论 · 物理学 2019-12-06 Hitoshi Fukamachi , Kei-Ichi Kondo , Shogo Nishino , Toru Shinohara

We demonstrate the effectivity of the covariant background field method by means of an explicit calculation of the 3-loop beta-function for a pure Yang-Mills theory. To maintain manifest background invariance throughout our calculation, we…

高能物理 - 理论 · 物理学 2010-04-05 J. -P. Boernsen , Anton E. M. van de Ven

We study the volume dependence of electric flux energies for SU(2) gauge theory with twisted boundary conditions. The curves interpolate smoothly between the perturbative semiclassicalresults and the Confinement regime. On the basis of our…

高能物理 - 格点 · 物理学 2008-11-26 A. Gonzalez-Arroyo , P. Martinez

We discuss thermodynamic properties of open confining strings introduced via static sources in the vacuum of Yang-Mills theory. We derive new sum rules for the chromoelectric and chromomagnetic condensates and use them to show that the…

高能物理 - 唯象学 · 物理学 2020-11-03 M. N. Chernodub

We compute the effective action of the Polyakov loop in SU(2) and SU(3) Yang-Mills theory using a previously developed covariant variational approach. The formalism is extended to background gauge and it is shown how to relate the low order…

高能物理 - 理论 · 物理学 2016-09-21 Markus Quandt , Hugo Reinhardt

$\mathcal{N} = 1$ 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