On the dynamical mass generation in confining Yang-Mills theories

Abstract

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 obeys the renormalization group. The example of the Landau gauge is worked out explicitly at one loop order. A few remarks on the issue of the unitarity are provided.

11 pages

References in corpus (43)

• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• The Infrared Behavior of Gluon and Ghost Propagators in Landau Gauge QCD
• A Solution to Coupled Dyson-Schwinger Equations for Gluons and Ghosts in Landau Gauge
• Non-perturbative Landau gauge and infrared critical exponents in QCD
• On the Significance of the Quantity "A Squared"
• Vacuum condensate of mass dimension 2 as the origin of mass gap and quark confinement
• Non-perturbative Faddeev-Popov formula and infrared limit of QCD
• Infinite Volume and Continuum Limits of the Landau-Gauge Gluon Propagator
• On the Emerging Phenomenology of <(A_μ)^2>
• Testing Landau gauge OPE on the Lattice with a $<A^2>$ Condensate
• The non-perturbative groundstate of Q.C.D and the local composite operator A_mu^2
• Gluon propagators and quark confinement
• Off-diagonal Gluon Mass Generation and Infrared Abelian Dominance in the Maximally Abelian Gauge in Lattice QCD
• The anomalous dimension of the composite operator A^2 in the Landau gauge
• Propagators and running coupling from SU(2) lattice gauge theory
• Relating a gluon mass scale to an infrared fixed point in pure gauge QCD
• Running Coupling in Non-Perturbative QCD - I. Bare Vertices and y-max Approximation
• SU(2) Landau gluon propagator on a 140^3 lattice
• Verifying the Kugo-Ojima Confinement Criterion in Landau Gauge Yang-Mills Theory
• Abelian dominance and gluon propagators in the Maximally Abelian gauge of SU(2) lattice gauge theory
• An analytic study of the off-diagonal mass generation for Yang-Mills theories in the maximal Abelian gauge
• The low lying glueball spectrum
• Renormalizing a BRST-invariant composite operator of mass dimension 2 in Yang-Mills theory
• QCD in the Infrared with Exact Angular Integrations
• Time-independant stochastic quantization, DS equations, and infrared critical exponents in QCD
• Instantons and $<A^2>$ Condensate
• Seeking an Even-Parity Mass Term for 3-D Gauge Theory
• Dynamical gluon mass generation from <A^2> in linear covariant gauges
• The Gluon Propagator on a Large Volume, at $\beta =6.0$
• A Phenomenological Analysis of Gluon Mass Effects in Inclusive Radiative Decays of the $J/\psi$ and $Υ
• The Gluon Propagator without lattice Gribov copies
• Infrared behavior of the gluon propagator in lattice Landau gauge: the three-dimensional case
• Two loop effective potential for < A^2_μ> in the Landau gauge in quantum chromodynamics
• The Gluon Propagator without lattice Gribov copies on a finer lattice
• Renormalizability of the local composite operator A^2 in linear covariant gauges
• A determination of <A^2> and the non-perturbative vacuum energy of Yang-Mills theory in the Landau gauge
• Infrared Behavior of the Gluon Propagator in Lattice Landau Gauge
• Defining < A^2 > in the finite volume hamiltonian formalism
• Gluon-ghost condensate of mass dimension 2 in the Curci-Ferrari gauge
• Gribov horizon in the presence of dynamical mass generation in Euclidean Yang-Mills theories in the Landau gauge
• Massive Yang-Mills Theory in Abelian Gauges
• Relating the Quark and Gluon Condensates Through the QCD Vacuum Energy
• One loop MSbar gluon pole mass from the LCO formalism

Cited by in corpus (9)

• Gluon mass generation in the PT-BFM scheme
• Effective gravity from a quantum gauge theory in Euclidean space-time
• Vacuum polarization corrections to low energy quark effective couplings
• UV finiteness of 3D Yang-Mills theories with a regulating mass in the Landau gauge
• Low momentum propagators at two loops in gluon mass model
• Gravitating Meron-like topological solitons in massive Yang-Mills theory and the Einstein-Skyrme model
• $R_{e^{+}{e}^{-}}$ and an effective QCD charge
• Local renormalizable gauge theories from nonlocal operators
• Study of the nonlocal gauge invariant mass operator $\mathrm{Tr}\int d^{4}x{F}_{\mu \nu }(D^2{)}^{-1}{F}_{\mu \nu }$ in the maximal Abelian gauge