Constraints on the infrared behavior of the gluon propagator in Yang-Mills theories.
Attilio Cucchieri,Tereza Mendes +1 more
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TLDR
A controlled extrapolation of lattice data to infinite volume is performed, showing that the infrared limit of the Landau-gauge gluon propagator in SU(2) gauge theory is finite and nonzero in three and in four space-time dimensions.Abstract:
We present rigorous upper and lower bounds for the zero-momentum gluon propagator D(0) of Yang-Mills theories in terms of the average value of the gluon field. This allows us to perform a controlled extrapolation of lattice data to infinite volume, showing that the infrared limit of the Landau-gauge gluon propagator in SU(2) gauge theory is finite and nonzero in three and in four space-time dimensions. In the two-dimensional case, we find D(0)=0, in agreement with Maas. We suggest an explanation for these results. We note that our discussion is general, although we apply our analysis only to pure gauge theory in the Landau gauge. Simulations have been performed on the IBM supercomputer at the University of Sao Paulo.read more
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Bounds on free energy in QCD
Axel Maas,Daniel Zwanziger +1 more
TL;DR: In this paper, the authors derived exact bounds on the free energy W(J) in QCD, where Jb μ is a source for the gluon field Aμ in the minimal Landau gauge, and W (J) is the generating functional of connected GLUON correlators.
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Non-perturbative BRST symmetry and the spectral structure of the ghost propagator
TL;DR: In this paper, it was shown that the existence of BRST symmetry imposes significant constraints on the analytic structure of the continuum theory of Yang-Mills theory in the non-perturbative regime, such that any on-shell state with vanishing norm must have an associated partner state with identical mass but negative inner product.
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On the gauge-invariant operator Amin2 in Euclidean Yang-Mills theories
TL;DR: In this article, the non-local dimension-two operator A min 2 can be cast in local form through the introduction of an auxiliary Stueckelberg field and the whole procedure results into a local action which turns out to be renormalizable to all orders.
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Excited light baryons from quark-gluon-level calculations
TL;DR: In this article, a non-perturbative, Poincare-covariant continuum formulation of Quantum Chromodynamics is proposed to extract novel insight on baryon properties since the physics at the hadron level is directly related with the underlying quark-gluon substructure.
References
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A Guide to Monte Carlo Simulations in Statistical Physics
David P. Landau,Kurt Binder +1 more
TL;DR: A review of Monte Carlo methods of computer simulation can be found in this article, where a brief review of other methods of simulation can also be found, as well as a brief introduction to Monte Carlo studies of biological molecules.