The Gauge Connection

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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
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  • September 10, 2014
  • 05:10 AM

The question of the mass gap

by Marco Frasca in The Gauge Connection

Some years ago I proposed a set of solutions to the classical Yang-Mills equations displaying a massive behavior. For a massless theory this is somewhat unexpected. After a criticism by Terry Tao I had to admit that, for a generic gauge, such solutions are just asymptotic ones assuming the coupling runs to infinity (see here […]... 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

Marco Frasca. (2014) Exact solutions for classical Yang-Mills fields. arXiv. arXiv: 1409.2351v1

  • September 5, 2014
  • 06:31 PM

Higgs what?

by Marco Frasca in The Gauge Connection

In these days it has been announced the new version of Review of Particle Physics by the Particle Data Group (PDG). This is the bread and butter of any particle physicist and contains all the relevant data about this area of research. It is quite common for us to search the on-line version or using […]... Read more »

Marco Frasca. (2013) Scalar field theory in the strong self-interaction limit. Eur. Phys. J. C (2014) 74:2929. arXiv: 1306.6530v5

  • July 21, 2014
  • 02:31 PM

Do quarks grant confinement?

by Marco Frasca in The Gauge Connection

In 2010 I went to Ghent in Belgium for a very nice Conference on QCD. My contribution was accepted and I had the chance to describe my view about this matter. The result was this contribution to the proceedings. The content of this paper was really revolutionary at that time as my view about Yang-Mills […]... Read more »

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

Markus Hopfer, Christian S. Fischer, & Reinhard Alkofer. (2014) Running coupling in the conformal window of large-Nf QCD. arXiv. arXiv: 1405.7031v1

Markus Hopfer, Christian S. Fischer, & Reinhard Alkofer. (2014) Infrared behaviour of propagators and running coupling in the conformal window of QCD. arXiv. arXiv: 1405.7340v1

  • June 27, 2014
  • 08:13 AM

f0(500) and f0(980) are not tetraquarks

by Marco Frasca in The Gauge Connection

Last week I have been in Giovinazzo, a really beautiful town near Bari in Italy. I participated at the QCD@Work conference. This conference series is now at the 7th edition and, for me, it was my second attendance. The most striking news I heard was put forward in the first day and represents a striking […]... Read more »

Irinel Caprini, Gilberto Colangelo, & Heinrich Leutwyler. (2005) Mass and width of the lowest resonance in QCD. Phys.Rev.Lett.96:132001,2006. arXiv: hep-ph/0512364v2

Jaffe, R. (1977) Multiquark hadrons. II. Methods. Physical Review D, 15(1), 281-289. DOI: 10.1103/PhysRevD.15.281  

G. Mennessier, S. Narison, & X. -G. Wang. (2010) The sigma and f_0(980) from K_e4 pi-pi, gamma-gamma scatterings, J/psi, phi to gamma sigma_B and D_s to l nu sigma_B. Nucl.Phys.Proc.Suppl.207-208:177-180,2010. arXiv: 1009.3590v1

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

  • March 6, 2014
  • 07:05 AM

Evidence of the square root of Brownian motion

by Marco Frasca in The Gauge Connection

A mathematical proof of existence of a stochastic process involving fractional exponents seemed out of question after some mathematicians claimed this cannot not exist. This observation is strongly linked to the current definition and may undergo revision if nature does not agree with it. Stochastic process are very easy to simulate on a computer. Very […]... Read more »

  • February 22, 2014
  • 11:55 AM

Nailing down the Yang-Mills problem

by Marco Frasca in The Gauge Connection

Millennium problems represent a major challenge for physicists and mathematicians. So far, the only one that has been solved was the Poincaré conjecture (now a theorem) by Grisha Perelman. For people working in strong interactions and quantum chromodynamics, the most interesting of such problems is the Yang-Mills mass gap and existence problem. The solutions of […]... Read more »

Axel Weber. (2012) Epsilon expansion for infrared Yang-Mills theory in Landau gauge. Phys. Rev. D , 125005. arXiv: 1112.1157v2

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

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

  • February 9, 2014
  • 10:19 AM

Nature already patched it

by Marco Frasca in The Gauge Connection

Dennis Overbye is one of the best science writer around. Recently, he wrote a beautiful piece on the odd behavior of non-converging series like and so on to infinity (see here). This article contains a wonderful video, this one where it shown why and this happens only when this series is taken going to infinity. […]... Read more »

  • February 2, 2014
  • 01:11 PM

Back to work

by Marco Frasca in The Gauge Connection

I would like to have a lot more time to write on my blog. Indeed, time is something I have no often and also the connection is not so good as I would like in the places I spend most of it. So, I take this moment to give an update of what I have […]... Read more »

Kuroda N, Ulmer S, Murtagh DJ, Van Gorp S, Nagata Y, Diermaier M, Federmann S, Leali M, Malbrunot C, Mascagna V.... (2014) A source of antihydrogen for in-flight hyperfine spectroscopy. Nature communications, 3089. PMID: 24448273  

M. W. Ray,, E. Ruokokoski,, S. Kandel,, M. Möttönen,, & D. S. Hall. (2014) Observation of Dirac monopoles in a synthetic magnetic field. Nature, 657-660. DOI: 10.1038/nature12954  

  • December 7, 2013
  • 10:33 AM

That strange behavior of supersymmetry…

by Marco Frasca in The Gauge Connection

I am a careful reader of scientific literature and an avid searcher for already published material in peer reviewed journals. Of course, arxiv is essential to accomplish this task and to satisfy my needs for reading. In these days, I am working on Dyson-Schwinger equations. I have written on this a paper (see here) a […]... Read more »

Marc Bellon, Gustavo S. Lozano, & Fidel A. Schaposnik. (2007) Higher loop renormalization of a supersymmetric field theory. Phys.Lett.B650:293-297,2007. arXiv: hep-th/0703185v1

Markus Q. Huber, & Jens Braun. (2011) Algorithmic derivation of functional renormalization group equations and Dyson-Schwinger equations. Computer Physics Communications, 183(6), 1290-1320. arXiv: 1102.5307v2

Markus Q. Huber, & Mario Mitter. (2011) CrasyDSE: A framework for solving Dyson-Schwinger equations. arXiv. arXiv: 1112.5622v2

  • November 5, 2013
  • 04:30 PM

Living dangerously

by Marco Frasca in The Gauge Connection

Today, I read an interesting article on New York Times by Dennis Overbye (see here). Of course, for researchers, a discovery that does not open new puzzles is not really a discovery but just the end of the story. But the content of the article is intriguing and is related to the question of the […]... Read more »

Giuseppe Degrassi, Stefano Di Vita, Joan Elias-Miró, José R. Espinosa, Gian F. Giudice, Gino Isidori, & Alessandro Strumia. (2012) Higgs mass and vacuum stability in the Standard Model at NNLO. JHEP August 2012, 2012:98. arXiv: 1205.6497v2

Dario Buttazzo, Giuseppe Degrassi, Pier Paolo Giardino, Gian F. Giudice, Filippo Sala, Alberto Salvio, & Alessandro Strumia. (2013) Investigating the near criticality of the Higgs boson. arXiv. arXiv: 1307.3536v1

Marco Frasca. (2009) Exact solutions of classical scalar field equations. J.Nonlin.Math.Phys.18:291-297,2011. arXiv: 0907.4053v2

  • September 21, 2013
  • 08:27 AM

Ending and consequences of Terry Tao’s criticism

by Marco Frasca in The Gauge Connection

Summer days are gone and I am back to work. I thought that Terry Tao’s criticism to my work was finally settled and his intervention was a good one indeed. Of course, people just remember the criticism but not how the question evolved since then (it was 2009!). Terry’s point was that the mapping given […]... 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

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

  • August 17, 2013
  • 03:58 PM

The Witten’s paradox

by Marco Frasca in The Gauge Connection

Edward Witten is one of the greatest living physicists and also ranks high with mathematicians. He set the agenda for theoretical physics in several areas of research. He is mostly known for championing string theory and being one of few people that revolutionized the field. One of his major contributions to supersymmetry has been a […]... Read more »

A. Bashir, & J. Lorenzo Diaz-Cruz. (1999) A study of Schwinger-Dyson Equations for Yukawa and Wess-Zumino Models. J.Phys.G25:1797-1805,1999. arXiv: hep-ph/9906360v1

  • July 23, 2013
  • 05:51 AM

Some more news on Warp drive

by Marco Frasca in The Gauge Connection

Today, New York Times published an article with an interview to Harold “Sonny” White about NASA studies on warp drive (see here). This revamped the interest about what NASA is funding (with a really small budget being  just $50,000) on this that have to be considered forefront research. For the readers that are not aware […]... Read more »

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

  • July 13, 2013
  • 02:33 PM

Waiting for EPS HEP 2013: Some thoughts

by Marco Frasca in The Gauge Connection

On 18th July the first summer HEP Conference will start in Stockholm. We do not expect great announcements from CMS and ATLAS as most of the main results from 2011-2012 data were just unraveled. The conclusions is that the particle announced on 4th July last year is a Higgs boson. It decays in all the […]... Read more »

  • June 15, 2013
  • 04:10 PM

Return in Paris

by Marco Frasca in The Gauge Connection

After two years since the last edition, I was back in Paris to participate to the Twelfth Workshop on Non-perturbative Quantum Chromodynamics. The conference is organized by high-energy group at Brown University and held at Institut d’Astrophysique de Paris. Professor Chung-I Tan and Professor Berndt Mueller from Duke University are the organizers. As it also happened in the precedent edition, […]... Read more »

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

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

M. Ruggieri, F. Scardina, S. Plumari, & V. Greco. (2013) Elliptic Flow from Nonequilibrium Color Glass Condensate Initial Conditions. arXiv. arXiv: 1303.3178v1

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

Lieb, E., & Simon, B. (1973) Thomas-Fermi Theory Revisited. Physical Review Letters, 31(11), 681-683. DOI: 10.1103/PhysRevLett.31.681  

Marco Frasca. (2006) Thermodynamic Limit and Decoherence: Rigorous Results. Journal of Physics: Conference Series 67 (2007) 012026. arXiv: quant-ph/0611024v1

  • May 25, 2013
  • 12:33 PM

Intrinsic decoherence observed again!

by Marco Frasca in The Gauge Connection

Decoherence is the effect that causes a quantum system to behave classically. The most known of this kind of effects is due to environment where the interaction of an open quantum system with its surrounding is the reason for the loss of quantum coherence. This effect is well-proven on an experimental ground and must be considered […]... Read more »

Bryce Gadway, Jeremy Reeves, Ludwig Krinner, & Dominik Schneble. (2012) Evidence for a Quantum-to-Classical Transition in a Pair of Coupled Quantum Rotors. Phys. Rev. Lett. 110, 190401 (2013). arXiv: 1203.3177v2

  • May 17, 2013
  • 06:48 AM

CMS harbors new physics beyond the Standard Model

by Marco Frasca in The Gauge Connection

In these days is ongoing LHCP 2013 (First Large Hadron Collider Physics Conference) and CMS data seem to point significantly toward new physics. Their measurements on the production modes for WW and ZZ are agreeing with my recent computations (see here) and overall are deviating slightly from Standard Model expectations giving Note that Standard Model is alive and […]... Read more »

Marco Frasca. (2013) Revisiting the Higgs sector of the Standard Model. arXiv. arXiv: 1303.3158v1

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

T. G. Steele, & Zhi-Wei Wang. (2013) Is Radiative Electroweak Symmetry Breaking Consistent with a 125 GeV Higgs Mass?. Physical Review Letters, 151601. arXiv: 1209.5416v3

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

  • April 26, 2013
  • 05:27 AM

Tartaglia-Pascal triangle and quantum mechanics

by Marco Frasca in The Gauge Connection

The paper I wrote with Alfonso Farina and Matteo Sedehi about the link between the Tartaglia-Pascal triangle and quantum mechanics is now online (see here). This paper contains as a statement my theorem that provides a connection between the square root of a Wiener process and the Schrödinger equation that arose a lot of interest [...]... Read more »

  • April 12, 2013
  • 07:13 AM

Conformal Standard Model is consistent with the observed Higgs particle

by Marco Frasca in The Gauge Connection

Robert Garisto is an Editor of Physical Review Letters, the flagship journal of American Physical Society and the one with the highest impact factor in physics. I follow him on twitter (@RobertGaristo) and he points out interesting papers that appear in the journal he works in. This time I read the following and turned immediately [...]... Read more »

  • March 18, 2013
  • 06:28 AM

Much closer to the Standard Model

by Marco Frasca in The Gauge Connection

Today, the daily from arxiv yields a contribution from John Ellis and Tevong You analyzing new data presented at Aspen and Moriond the last two weeks by CMS and ATLAS about Higgs particle (see here). Their result can be summarized in the following figure that is really impressive. This means that the updated data coming [...]... Read more »

John Ellis, & Tevong You. (2013) Updated Global Analysis of Higgs Couplings. arXiv. arXiv: 1303.3879v1

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