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We compute the pole mass of the gluon in QCD from the local composite operator formalism at two loops in the MSbar renormalization scheme. For Yang-Mills theory an estimate of the mass at two loops is 2.13 Lambda_MSbar.

High Energy Physics - Phenomenology · Physics 2009-11-10 J. A. Gracey

We compute the one loop corrections to the pole mass of the gluon in the MSbar scheme in the Landau gauge in both the Curci-Ferrari model and the local composite operator formalism with Nf flavours of massless quarks. For the latter we…

High Energy Physics - Phenomenology · Physics 2009-11-10 R. E. Browne , J. A. Gracey

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

We show that pure Yang-Mills theories with Lorentz violation are renormalizable to all orders in perturbation theory. To do this, we employ the algebraic renormalization technique. Specifically, we control the breaking terms with a suitable…

High Energy Physics - Theory · Physics 2015-01-14 T. R. S. Santos , R. F. Sobreiro

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

The renormalization of $\mathcal{N}=1$ Super Yang-Mills theory with the presence of the local composite operators $AA$, $A_\mu \gamma_\mu \lambda$ and $\bar{\lambda}\lambda$ is analyzed in the Wess-Zumino gauge, employing the Landau…

High Energy Physics - Theory · Physics 2018-06-11 R. C. Terin , M. A. L. Capri , S. P. Sorella , H. C. Toledo

A new functional renormalization group equation for Hamiltonian Yang-Mills theory in Coulomb gauge is presented and solved for the static gluon and ghost propagators under the assumption of ghost dominance. The results are compared to those…

High Energy Physics - Lattice · Physics 2011-01-27 Hugo Reinhardt , Markus Leder , Jan M. Pawlowski , Axel Weber

We study the BRST renormalization of an alternative formulation of the Yang-Mills theory, where the matrix-propagator of the gluon and the complementary fields is diagonal. This procedure involves scalings as well as non-linear mixings of…

High Energy Physics - Theory · Physics 2018-08-15 F T Brandt , J Frenkel , D G C McKeon

The $\mathcal{N}=1$ Super Yang-Mills theory in the presence of the local composite operator $A^2$ is analyzed in the Wess-Zumino gauge by employing the Landau gauge fixing condition. Due to the superymmetric structure of the theory, two…

High Energy Physics - Theory · Physics 2018-11-14 M. A. L. Capri , S. P. Sorella , R. C. Terin , H. C. Toledo

We propose a subtraction scheme for a massive Yang-Mills theory realized via a nonlinear representation of the gauge group (here SU(2)). It is based on the subtraction of the poles in D-4 of the amplitudes, in dimensional regularization,…

High Energy Physics - Theory · Physics 2008-06-16 Daniele Bettinelli , Ruggero Ferrari , Andrea Quadri

We propose a new one-parameter family of Landau gauges for Yang-Mills theories which can be formulated by means of functional integral methods and are thus well suited for analytic calculations, but which are free of Gribov ambiguities and…

High Energy Physics - Theory · Physics 2015-06-04 Julien Serreau , Matthieu Tissier

Perturbation theory is shown to be working in the IR limit of pure SU(3) Yang-Mills theory in Landau gauge by an unconventional setting of the perturbative expansion. A dynamical mass is predicted for the gluon and the lattice data are…

High Energy Physics - Phenomenology · Physics 2015-07-21 Fabio Siringo

We prove the perturbative renormalisability of pure SU(2) Yang-Mills theory in the abelian gauge supplemented with mass terms. Whereas mass terms for the gauge fields charged under the diagonal U(1) allow to preserve the standard form of…

High Energy Physics - Theory · Physics 2009-11-07 U. Ellwanger , N. Wschebor

We propose a gauge invariant formulation of the exact renormalization group equation for nonsupersymmetric pure U(N) Yang-Mills theory, based on the construction by Tim Morris. In fact we show that our renormalization group equation amounts…

High Energy Physics - Theory · Physics 2009-10-31 Shinji Hirano

We perform a systematic one-loop renormalization of a general renormalizable Yang-Mills theory coupled to scalars and fermions using a regularization scheme with a smooth momentum cutoff $\Lambda$ (implemented through an exponential damping…

High Energy Physics - Phenomenology · Physics 2016-12-21 Piotr H. Chankowski , Adrian Lewandowski , Krzysztof A. Meissner

$\mathcal{N} = 1$ 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…

High Energy Physics - Lattice · Physics 2021-11-30 Sajid Ali , Georg Bergner , Camilo Lopez , Istvan Montvay , Gernot Münster , Stefano Piemonte

A Yang-Mills type two matrix model with mass terms is studied by use of a matrix renormalization group approach proposed by Brezin and Zinn-Justin. The renormalization group method indicates that the model exhibits a critical behavior…

High Energy Physics - Theory · Physics 2015-06-16 Shoichi Kawamoto , Dan Tomino

We take the manifestly gauge invariant exact renormalisation group previously used to compute the one-loop beta function in SU(N) Yang-Mills without gauge fixing, and generalise it so that it can be renormalised straightforwardly at any…

High Energy Physics - Theory · Physics 2008-11-26 Stefano Arnone , Tim R. Morris , Oliver J. Rosten

We discuss the 2-point-particle-irreducible (2PPI) expansion, which sums bubble graphs to all orders, in the context of SU(N) Yang-Mills theory in the Landau gauge. Using the method we investigate the possible existence of a gluon…

High Energy Physics - Theory · Physics 2009-11-10 D. Dudal , H. Verschelde , R. E. Browne , J. A. Gracey

We investigate Landau gauge $SU(3)$ Yang-Mills theory in a systematic vertex expansion scheme for the effective action with the functional renormalisation group. Particular focus is put on the dynamical creation of the gluon mass gap at…

High Energy Physics - Phenomenology · Physics 2016-09-12 Anton K. Cyrol , Leonard Fister , Mario Mitter , Jan M. Pawlowski , Nils Strodthoff
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