The Gauge Connection

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109 posts · 132,169 views

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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  • November 5, 2012
  • 05:10 AM

Breaking of a symmetry

by Marco Frasca in The Gauge Connection

This week-end has been somewhat longer in Italy due to November 1st holiday and I have had the opportunity to read a very fine book by Ian Aitchison: Supersymmetry in Particle Physics – An Elementary Introduction. This book gives a very clear introduction to SUSY with all the computations clearly stated and going into the [...]... Read more »

Dimopoulos, S., & Georgi, H. (1981) Softly broken supersymmetry and SU(5). Nuclear Physics B, 193(1), 150-162. DOI: 10.1016/0550-3213(81)90522-8  

Marco Frasca. (2011) Chiral symmetry in the low-energy limit of QCD at finite temperature. Phys. Rev. C 84, 055208 (2011). arXiv: 1105.5274v4

  • October 22, 2012
  • 06:24 AM

Large-N gauge theories on the lattice

by Marco Frasca in The Gauge Connection

Today I have found on arXiv a very nice review about large-N gauge theories on the lattice (see here). The authors, Biagio Lucini and Marco Panero, are well-known experts on lattice gauge theories being this their main area of investigation. This review, to appear on Physics Report, gives a nice introduction to this approach to [...]... Read more »

Biagio Lucini, & Marco Panero. (2012) SU(N) gauge theories at large N. arXiv. arXiv: 1210.4997v1

Marco Frasca. (2008) Yang-Mills Propagators and QCD. Nuclear Physics B (Proc. Suppl.) 186 (2009) 260-263. arXiv: 0807.4299v2

D. Gomez Dumm, & N. N. Scoccola. (2004) Characteristics of the chiral phase transition in nonlocal quark models. Phys.Rev. C72 (2005) 014909. arXiv: hep-ph/0410262v2

Marco Frasca. (2011) Chiral symmetry in the low-energy limit of QCD at finite temperature. Phys. Rev. C 84, 055208 (2011). arXiv: 1105.5274v4

  • September 27, 2012
  • 10:10 AM

Confinement revisited

by Marco Frasca in The Gauge Connection

Today it is appeared a definitive updated version of my paper on confinement (see here). I wrote this paper last year after a question put out to me by Owe Philipsen at Bari. The point is, given a decoupling solution for the gluon propagator in the Landau gauge, how does confinement come out? I would [...]... Read more »

Kenneth G. Wilson. (1974) Confinement of quarks. Phys. Rev. D 10, 2445–2459 (1974) . DOI: 10.1103/PhysRevD.10.2445  

Attilio Cucchieri, David Dudal, Tereza Mendes, & Nele Vandersickel. (2011) Modeling the Gluon Propagator in Landau Gauge: Lattice Estimates of Pole Masses and Dimension-Two Condensates. arXiv. arXiv: 1111.2327v1

M. Stingl. (1995) A Systematic Extended Iterative Solution for QCD. Z.Phys. A353 (1996) 423-445. arXiv: hep-th/9502157v3

P. Gonzalez, V. Mathieu, & V. Vento. (2011) Heavy meson interquark potential. Physical Review D, 114008. arXiv: 1108.2347v2

Dimitra Karabali, V. P. Nair, & Alexandr Yelnikov. (2009) The Hamiltonian Approach to Yang-Mills (2 1): An Expansion Scheme and Corrections to String Tension. Nucl.Phys.B824:387-414,2010. arXiv: 0906.0783v1

  • September 19, 2012
  • 09:58 AM

Warp drive at NASA

by Marco Frasca in The Gauge Connection

I am currently a twitter user. One of my followings is Jeri Ryan. She has been Seven of Nine in Star Trek Voyager saga. Yesterday, it comes out of the blue what I read in one of her twits: NASA is developing warp drive! Indeed, Jeri was pointing to  this link. This is a Gizmodo’s [...]... Read more »

Stefano Finazzi, Stefano Liberati, & Carlos Barceló. (2009) Semiclassical instability of dynamical warp drives. PHYSICAL REVIEW D 79, 124017 (2009). arXiv: 0904.0141v2

Miguel Alcubierre. (2000) The warp drive: hyper-fast travel within general relativity. Class.Quant.Grav.11:L73-L77,1994. arXiv: gr-qc/0009013v1

  • September 10, 2012
  • 10:07 AM

ATLAS and CMS papers published

by Marco Frasca in The Gauge Connection

Papers by ATLAS and CMS have appeared in Physics Letters B and can be freely downloaded. They report on the discovery of the Higgs-like particle on July 4th. CMS Collaboration (2012). Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC Physics Letters B DOI: 10.1016/j.physletb.2012.08.021 ATLAS [...]... Read more »

  • August 30, 2012
  • 01:38 PM

Higgs boson and conformal symmetry

by Marco Frasca in The Gauge Connection

So far, I believed to be the only man on Earth to trust a complete absence of mass terms in the Standar Model (we call this conformal symmetry). I was wrong.  Krzysztof Meissner and Hermann Nicolai anticipated this idea. Indeed, in a model where mass is generally banned, there is no reason to believe that [...]... Read more »

Krzysztof A. Meissner, & Hermann Nicolai. (2006) Conformal Symmetry and the Standard Model. Phys.Lett.B648:312-317,2007. arXiv: hep-th/0612165v4

Krzysztof A. Meissner, & Hermann Nicolai. (2012) A 325 GeV scalar resonance seen at CDF?. arXiv. arXiv: 1208.5653v1

Marco Frasca. (2010) Mass generation and supersymmetry. arXiv. arXiv: 1007.5275v2

Marco Frasca. (2010) Glueball spectrum and hadronic processes in low-energy QCD. Nucl.Phys.Proc.Suppl.207-208:196-199,2010. arXiv: 1007.4479v2

  • August 23, 2012
  • 01:28 PM

‘t Hooft and quantum computation

by Marco Frasca in The Gauge Connection

Gerard ‘t Hooft is one of greatest living physicists, one of the main contributors to the Standard Model. He has been awarded the Nobel prize in physics on 1999. I have had the opportunity to meet him in Piombino (Italy) at a conference on 2006 where he was there to talk about his view on [...]... Read more »

M. Hartmann, G. Mahler, & O. Hess. (2003) Gaussian quantum fluctuations in interacting many particle systems. Lett. Math. Phys. 68, 103-112 (2004). arXiv: math-ph/0312045v2

Elliott H. Lieb,, & Barry Simon. (1973) Thomas-Fermi Theory Revisited. Phys. Rev. Lett. 31, 681–683 (1973) . DOI: 10.1103/PhysRevLett.31.681  

  • August 1, 2012
  • 04:23 AM

Papers by ATLAS and CMS on Higgs just appeared

by Marco Frasca in The Gauge Connection

As promised by the two collaborations at CERN, their papers have been today appeared on arXiv: “Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC“ “Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC“ [...]... Read more »

  • July 30, 2012
  • 06:05 AM

Running coupling and Yang-Mills theory

by Marco Frasca in The Gauge Connection

Forefront research, during its natural evolution, produces some potential cornerstones that, at the end of the game, can prove to be plainly wrong. When one of these cornerstones happens to form, even if no sound confirmation at hand is available, it can make life of researchers really hard. It can be hard time to get [...]... Read more »

I. L. Bogolubsky, E. -M. Ilgenfritz, M. Müller-Preussker, & A. Sternbeck. (2009) Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared. Phys.Lett.B676:69-73,2009. arXiv: 0901.0736v3

Ph. Boucaud, F. De Soto, A. Le Yaouanc, J. P. Leroy, J. Micheli, H. Moutarde, O. Pène, & J. Rodríguez-Quintero. (2002) The strong coupling constant at small momentum as an instanton detector. JHEP 0304:005,2003. arXiv: hep-ph/0212192v1

Marco Frasca. (2010) Mapping theorem and Green functions in Yang-Mills theory. PoS FacesQCD:039,2010. arXiv: 1011.3643v3

  • June 23, 2012
  • 08:20 AM

QCD@Work 2012

by Marco Frasca in The Gauge Connection

This week has been of great interest for me being one of the participants to QCD@Work 2012. I have had my contribution accepted by the organizers and so I gave a talk. The conference was held in a really beautiful city, Lecce here in Italy. This conference is organized jointly by University of Bari and [...]... Read more »

M. N. Chernodub. (2010) Superconductivity of QCD vacuum in strong magnetic field. Phys.Rev.D82:085011,2010. arXiv: 1008.1055v2

M. Ruggieri, P. Alba, P. Castorina, S. Plumari, C. Ratti, & V. Greco. (2012) Polyakov Loop and Gluon Quasiparticles in Yang-Mills Thermodynamics. arXiv. arXiv: 1204.5995v1

Marco Frasca. (2011) Chiral symmetry in the low-energy limit of QCD at finite temperature. Phys. Rev. C 84, 055208 (2011). arXiv: 1105.5274v4

  • June 5, 2012
  • 08:18 AM

Millenium prize on Yang-Mills theory: The situation in physics

by Marco Frasca in The Gauge Connection

Yang-Mills theory with the related question of the mass gap appears today an unsolved problem and, from a mathematical standpoint, the community did not recognized anybody to claim the prize so far. But in physics the answer to this question has made enormous progress mostly by the use of lattice computations and, quite recently, with [...]... Read more »

A. C. Aguilar, & A. A. Natale. (2004) A dynamical gluon mass solution in a coupled system of the Schwinger-Dyson equations. JHEP0408:057,2004. arXiv: hep-ph/0408254v2

Ph. Boucaud, Th. Brüntjen, J. P. Leroy, A. Le Yaouanc, A. Y. Lokhov, J. Micheli, O. Pène, & J. Rodríguez-Quintero. (2006) Is the QCD ghost dressing function finite at zero momentum ?. JHEP 0606:001,2006. arXiv: hep-ph/0604056v1

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

Attilio Cucchieri, & Tereza Mendes. (2007) What's up with IR gluon and ghost propagators in Landau gauge? A puzzling answer from huge lattices. PoS LAT2007:297,2007. 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

Kenji Fukushima, & Kouji Kashiwa. (2012) Polyakov loop and QCD thermodynamics from the gluon and ghost propagators. arXiv. arXiv: 1206.0685v1

  • June 4, 2012
  • 05:16 AM

Turing machine and Landauer limit

by Marco Frasca in The Gauge Connection

My inactivity period was due to a lack of real news around the World. But I was not inactive at all. My friend Alfonso Farina presented to me another question that occupied my mind for the last weeks: What is the energy cost for computation? The first name that comes to mind in such a [...]... Read more »

Bennett, C. (2003) Notes on Landauer's principle, reversible computation, and Maxwell's Demon. Studies In History and Philosophy of Science Part B: Studies In History and Philosophy of Modern Physics, 34(3), 501-510. DOI: 10.1016/S1355-2198(03)00039-X  

Bérut, A., Arakelyan, A., Petrosyan, A., Ciliberto, S., Dillenschneider, R., & Lutz, E. (2012) Experimental verification of Landauer’s principle linking information and thermodynamics. Nature, 483(7388), 187-189. DOI: 10.1038/nature10872  

Marco Frasca. (2012) Probabilistic Turing Machine and Landauer Limit. arXiv. arXiv: 1206.0207v1

  • March 23, 2012
  • 05:57 AM

Johnson noise and its square root

by Marco Frasca in The Gauge Connection

Following my recent work on stochastic processes and quantum mechanics (see here and here), after I showed its existence with numerical computation (see here), this time I moved one step forward with an experimental setup. The idea come out from my son Giorgio. He is a teen with a lot of ideas and was of [...]... Read more »

  • February 10, 2012
  • 12:11 PM

Dust is finally settling…

by Marco Frasca in The Gauge Connection

The situation about Yang-Mills theory is finally settling down. I do not mean that mathematicians’ community has finally decided the winner of the Millenium prize but rather that people working on the study of two-point functions on a pure Yang-Mills theory have finally a complete scenario for it. These studies have seen very hot debates [...]... Read more »

Boucaud, P., Gómez, M., Leroy, J., Le Yaouanc, A., Micheli, J., Pène, O., & Rodríguez-Quintero, J. (2010) Low-momentum ghost dressing function and the gluon mass. Physical Review D, 82(5). DOI: 10.1103/PhysRevD.82.054007  

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

David Dudal, John Gracey, Silvio Paolo Sorella, Nele Vandersickel, & Henri Verschelde. (2008) A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results. Phys.Rev.D78:065047,2008. arXiv: 0806.4348v2

  • February 2, 2012
  • 10:35 AM

Numerical evidence for the square root of a Wiener process

by Marco Frasca in The Gauge Connection

Brownian motion is a very kind mathematical object being very keen to numerical simulations. There are a plenty of them for any platform and software so that one is able to check very rapidly the proper working of a given hypothesis. For these aims, I have found very helpful the demonstration site by Wolfram and [...]... Read more »

  • January 31, 2012
  • 06:04 AM

Quantum mechanics and stochastic processes: Revised paper posted

by Marco Frasca in The Gauge Connection

After having fixed the definition of the extended Itō integral, I have posted a revised version of my paper on arXiv (see here). The idea has been described here. A full account of this story is given here. The interesting aspect from a physical standpoint is the space that is fluctuating both for a Wiener [...]... Read more »

  • January 27, 2012
  • 03:42 PM

Evading Piau’s paradox

by Marco Frasca in The Gauge Connection

Disclaimer: This post is somewhat technical. Recently, I posted a paper on arXiv (see here) claiming that quantum mechanics is the square root of a Wiener process. In order to get my results I have to consider some exotic Itō integrals that Didier Piau showed not existent (see here and here). In my argument I [...]... Read more »

  • January 25, 2012
  • 05:22 AM

Quantum mechanics and the square root of Brownian motion

by Marco Frasca in The Gauge Connection

There is a very good reason why I was silent in the past days. The reason is that I was involved in one of the most difficult article to write down since I do research (and are more than twenty years now!).  This paper arose during a very successful collaboration with two colleagues of mine: [...]... Read more »

Farina, A., Giompapa, S., Graziano, A., Liburdi, A., Ravanelli, M., & Zirilli, F. (2011) Tartaglia-Pascal’s triangle: a historical perspective with applications. Signal, Image and Video Processing. DOI: 10.1007/s11760-011-0228-6  

  • January 7, 2012
  • 05:01 PM

Nothingness in science: Lisi’s case

by Marco Frasca in The Gauge Connection

People working in science are well aware that severe criteria are generally used to scrutinize their work, work that must appear on reputable journals where a review by peers decides the goodness or the rejection. This is generally the start of a procedure that can last several years and that should end up with the [...]... Read more »

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

Jacques Distler, & Skip Garibaldi. (2009) There is no "Theory of Everything" inside E8. Commun.Math.Phys.298:419-436,2010. arXiv: 0905.2658v3

  • January 3, 2012
  • 09:16 AM

A new year full of promises

by Marco Frasca in The Gauge Connection

We have left 2011 with a lot of exciting results from experiments. Neutrinos appear to move a bit faster than expected and Higgs provided some glimpses at CERN. Of course, this kind of Higgs appears somewhat boring at first being in the range of what Standard Model expected. But it is really too early to [...]... Read more »

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