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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A renormalization group invariant scalar glueball operator in the (Refined) Gribov-Zwanziger framework
TL;DR: In this paper, a complete algebraic analysis of the renormalizability of the $d=4$ operator $F^2_{\mu
u}$ in the Gribov-Zwanziger (GZ) formalism was presented.
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Ghost sector and geometry in minimal Landau gauge: Further constraining the infinite-volume limit
Attilio Cucchieri,Tereza Mendes +1 more
TL;DR: In this paper, the authors presented improved upper and lower bounds for the momentum-space ghost propagator of Yang-Mills theories in terms of the two smallest nonzero eigenvalues (and their corresponding eigenvectors) of the Faddeev-Popov matrix.
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Fresh look at the Abelian and non-Abelian Landau-Khalatnikov-Fradkin transformations
TL;DR: In this article, an alternative derivation of the Landau-Khalatnikov-Fradkin transformations (LKFTs) for the gauge and fermions field in the Abelian (QED) case was presented.
Journal ArticleDOI
The (IR-)relevance of the Gribov ambiguity in SU(2) x U(1) gauge theories with fundamental Higgs matter
M. A. L. Capri,David Dudal,Marcelo S. Guimaraes,I. F. Justo,Silvio P. Sorella,D. Vercauteren +5 more
TL;DR: In this paper, the effective action resolution to the Gribov ambiguity reduces to the standard Faddeev-Popov method in the perturbative regime of sufficiently small coupling/large Higgs condensate, thereby not compromising the physical particle spectrum of massive gauge bosons.
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Gauge invariant Ansatz for a special three-gluon vertex
TL;DR: In this article, a general Ansatz for the three-particle vertex describing the interaction of one background and two quantum gluons was constructed by simultaneously solving the Ward and Slavnov-Taylor identities it satisfies.
References
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Book
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.