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I discuss most recent findings in the area of QCD and strong interactions in the low-energy limit. This involves lattice computations of the spectrum, the problem of the mass gap and existence of Yang-Mills theory.

Marco Frasca

109 posts

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by Marco Frasca in The Gauge Connection

I have never discussed too much in-depth the history of the matter of Yang-Mills propagators in Landau gauge even if I often expressed a clearcut position. This is a kind of disclaimer when I say that I would not like to offend the work of anyone but my results agree excellently well with lattice computations [...]... Read more »

von Smekal, L., Hauck, A., & Alkofer, R. (1997) Infrared Behavior of Gluon and Ghost Propagators in Landau Gauge QCD. Physical Review Letters, 79(19), 3591-3594. DOI: 10.1103/PhysRevLett.79.3591

Aguilar, A., & Natale, A. (2004) A dynamical gluon mass solution in a coupled system of the Schwinger-Dyson equations. Journal of High Energy Physics, 2004(08), 57-57. DOI: 10.1088/1126-6708/2004/08/057

Ph. Boucaud, J. P. Leroy, A. Le Yaouanc, A. Y. Lokhov, J. Micheli, O. Pene, J. Rodriguez-Quintero, & C. Roiesnel. (2005) The Infrared Behaviour of the Pure Yang-Mills Green Functions. arxiv. arXiv: hep-ph/0507104v4

Aguilar, A., Binosi, D., & Papavassiliou, J. (2008) Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations. Physical Review D, 78(2). DOI: 10.1103/PhysRevD.78.025010

Cornwall, J. (1982) Dynamical mass generation in continuum quantum chromodynamics. Physical Review D, 26(6), 1453-1478. DOI: 10.1103/PhysRevD.26.1453

Attilio Cucchieri, & Tereza Mendes. (2007) What's up with IR gluon and ghost propagators in Landau gauge? A puzzling answer from huge lattices. PoSLAT2007:297,2007. arXiv: 0710.0412v1

I. L. Bogolubsky, E. -M. Ilgenfritz, M. Müller-Preussker, & A. Sternbeck. (2007) The Landau gauge gluon and ghost propagators in 4D SU(3) gluodynamics in large lattice volumes. PoSLAT2007:290,2007. arXiv: 0710.1968v2

O. Oliveira, P. J. Silva, E. -M. Ilgenfritz, & A. Sternbeck. (2007) The gluon propagator from large asymmetric lattices. PoSLAT2007:323,2007. arXiv: 0710.1424v1

by Marco Frasca in The Gauge Connection

Also today arxiv reserves some interesting papers. But the one that mostly hit my attention is this one by Attilio Cucchieri and Tereza Mendes. Just the title, “The Saga of Landau-Gauge Propagators: Gathering New Ammo”, is a program and I would like to emphasize what is the new ammo: We recently installed at IFSC–USP a [...]... Read more »

Attilio Cucchieri, & Tereza Mendes. (2011) The Saga of Landau-Gauge Propagators: Gathering New Ammo. arxiv. arXiv: 1101.4779v1

by Marco Frasca in The Gauge Connection

Tevatron is again at the forefront of the blogosphere mostly due to Jester and Lubos. Top quark seems the main suspect to put an end to the domain of the Standard Model in particle physics. Indeed, years and years of confirmations cannot last forever and somewhere some odd behavior must appear. But this is again [...]... Read more »

Frasca, M. (2008) Infrared gluon and ghost propagators. Physics Letters B, 670(1), 73-77. DOI: 10.1016/j.physletb.2008.10.022

Frasca, M. (2009) MAPPING A MASSLESS SCALAR FIELD THEORY ON A YANG–MILLS THEORY: CLASSICAL CASE. Modern Physics Letters A, 24(30), 2425. DOI: 10.1142/S021773230903165X

P. Bicudo, & O. Oliveira. (2010) Gluon Mass in Landau Gauge QCD. arxiv. arXiv: 1010.1975v1

Frasca, M. (2010) Glueball spectrum and hadronic processes in low-energy QCD. Nuclear Physics B - Proceedings Supplements, 196-199. DOI: 10.1016/j.nuclphysbps.2010.10.051

by Marco Frasca in The Gauge Connection

As usual, also for this year there has been the Festival delle Scienze (Festival of the Sciences) in Rome. This lasted for all the last week and ended this sunday. This is the chance to hear from leading scientists the status of forefront research. This year’s theme was “The End of the World – Instructions [...]... Read more »

Lillie, B., Randall, L., & Wang, L. (2007) The Bulk RS KK-gluon at the LHC. Journal of High Energy Physics, 2007(09), 74-74. DOI: 10.1088/1126-6708/2007/09/074

by Marco Frasca in The Gauge Connection

At the conference “The many faces of QCD” (see here, here and here) I have had the opportunity to talk with people doing lattice computations at large computer facilities. They said to me that this kind of acitivities imply the use of large computers, user queues (as these resources are generally shared) and months of [...]... Read more »

Nuno Cardoso, & Pedro Bicudo. (2010) Lattice SU(2) on GPU's. arxiv. arXiv: 1010.1486v1

Nuno Cardoso, & Pedro Bicudo. (2010) SU(2) Lattice QCD Simulations on Fermi GPUs. arxiv. arXiv: 1010.4834v1

by Marco Frasca in The Gauge Connection

In this blog I discuss frequently about one of the Clay Institute’s Millenium Prize problems: Mass gap and existence of a quantum Yang-Mills theory. Sometime I also used the Perelman’s theorem containing Poincarè’s conjecture to discuss about some properties of quanum gravity and also Cramer-Rao statistical bound. Today on arxiv I have found a beautiful [...]... Read more »

Daniel Schumayer, & David A. W. Hutchinson. (2011) Physics of the Riemann Hypothesis. arxiv. arXiv: 1101.3116v1

Berry, M., & Keating, J. (1999) The Riemann Zeros and Eigenvalue Asymptotics. SIAM Review, 41(2), 236. DOI: 10.1137/S0036144598347497

by Marco Frasca in The Gauge Connection

Reading this Lubos’ post about a very good site (this one) I entered into the comment area and I have found the following declaration by him: Science is a meritocracy where answers are determined by objective criteria, and for most of the difficult questions, only one or a few people know the right answer and [...]... Read more »

D. Dudal, M. S. Guimaraes, & S. P. Sorella. (2010) Glueball masses from an infrared moment problem and nonperturbative Landau gauge. arxiv. arXiv: 1010.3638v3

by Marco Frasca in The Gauge Connection

The aftermath of some blogosphere activity about CDF possible finding at Tevatron left no possible satisfactory explanation beyond a massive octet of massive gluons that was already known in the literature and used by people at Fermilab. In the end we need some exceedingly massive gluons to explain this asymmetry. If you look around in [...]... Read more »

Marco Frasca. (2007) Infrared Gluon and Ghost Propagators. Phys.Lett.B670:73-77,2008. arXiv: 0709.2042v6

Marco Frasca. (2009) Mapping a Massless Scalar Field Theory on a Yang-Mills Theory: Classical Case. Mod. Phys. Lett. A 24, 2425-2432 (2009). arXiv: 0903.2357v4

Alexander Dynin. (2009) Energy-mass spectrum of Yang-Mills bosons is infinite and discrete. arxiv. arXiv: 0903.4727v2

by Marco Frasca in The Gauge Connection

I would like to write down a few lines on a paper published today on arxiv by Axel Maas (see here). This author draws an important conclusion about the propagators in Yang-Mills theories: These functions depend very few on the gauge group, keeping fixed the coupling a la ‘t Hooft as being a Casimir parameter of [...]... Read more »

Axel Maas. (2010) On the gauge-algebra dependence of Landau-gauge Yang-Mills propagators. arxiv. arXiv: 1012.4284v1

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