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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by Marco Frasca in The Gauge Connection

While CERN is calming down rumors (see here), research activity on Yang-Mills theories keeps on going on. A few days ago, a paper by Axel Weber appeared on arxiv (see here). As my readers know, having discussed this at length, in these last years there has been a hot debate between the proponents of the [...]... Read more »

Axel Weber. (2011) Epsilon expansion for infrared Yang-Mills theory in Landau gauge. arXiv. arXiv: 1112.1157v1

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

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 »

Farina, A., Frasca, M., & Sedehi, M. (2013) Solving Schrödinger equation via Tartaglia/Pascal triangle: a possible link between stochastic processing and quantum mechanics. Signal, Image and Video Processing. DOI: 10.1007/s11760-013-0473-y

Marco Frasca. (2012) Quantum mechanics is the square root of a stochastic process. arXiv. arXiv: 1201.5091v2

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, 7(1), 173-188. DOI: 10.1007/s11760-011-0228-6

by Marco Frasca in The Gauge Connection

Abhay Ashtekar is a well-known Indian physicist working at Pennsylvania State University. He has produced a fundamental paper in general relativity that has been the cornerstone of all the field of research of loop quantum gravity. Beyond the possible value that loop quantum gravity may have, we will see in the future, this result of [...]... Read more »

Ashtekar, A. (1986) New Variables for Classical and Quantum Gravity. Physical Review Letters, 57(18), 2244-2247. DOI: 10.1103/PhysRevLett.57.2244

Abhay Ashtekar, Adam Henderson, & David Sloan. (2011) A Hamiltonian Formulation of the BKL Conjecture. arxiv. arXiv: 1102.3474v1

Marco Frasca. (2005) Strong coupling expansion for general relativity. Int.J.Mod.Phys. D15 (2006) 1373-1386. arXiv: hep-th/0508246v3

Frasca, M. (1992) Strong-field approximation for the Schrödinger equation. Physical Review A, 45(1), 43-46. DOI: 10.1103/PhysRevA.45.43

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 »

Marco Frasca. (2012) Quantum mechanics is the square root of a stochastic process. arXiv. arXiv: 1201.5091v1

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

Grabert, H., Hänggi, P., & Talkner, P. (1979) Is quantum mechanics equivalent to a classical stochastic process?. Physical Review A, 19(6), 2440-2445. DOI: 10.1103/PhysRevA.19.2440

by Marco Frasca in The Gauge Connection

This post is just to point out to my readers that the lectures of Sidney Coleman on QFT are now available in TeX and pdf format. I have taken this information from Lubos’ site. The link for the full pdf is this. For this excellent work the person to be grateful is Bryan Chen a [...]... Read more »

Coleman, S. (1977) There are no classical glueballs. Communications in Mathematical Physics, 55(2), 113-116. DOI: 10.1007/BF01626513

Marco Frasca. (2009) Exact solutions of classical scalar field equations. arxiv. arXiv: 0907.4053v2

by Marco Frasca in The Gauge Connection

I think that blogs are a very good vehicle for a scientist to let his/her work widely known and can be really helpful also for colleagues doing research in the same field. This is the case of Igor Suslov at Kapitza Institute in Moscow. Igor is doing groundbreaking research in quantum field theory and, particularly, [...]... Read more »

I. M. Suslov. (2011) Renormalization Group Functions of \phi^4 Theory from High-Temperature Expansions. J.Exp.Theor.Phys., v.112, p.274 (2011); Zh.Eksp.Teor.Fiz., v.139, p.319 (2011). arXiv: 1102.3906v1

Marco Frasca. (2008) Infrared behavior of the running coupling in scalar field theory. arxiv. arXiv: 0802.1183v4

Marco Frasca. (2010) Mapping theorem and Green functions in Yang-Mills theory. arxiv. arXiv: 1011.3643v2

by Marco Frasca in The Gauge Connection

After the excitation for the findings at Tevatron, we turn back to routine. Of course, I have never forgotten to cast a glance at arXiv where it is crystal clear the vitality of the physics community. I want to put down these few lines to point to your attention a couple of papers appeared today [...]... Read more »

Nele Vandersickel. (2011) A study of the Gribov-Zwanziger action: from propagators to glueballs. arXiv. arXiv: 1104.1315v1

J. R. Andersen, O. Antipin, G. Azuelos, L. Del Debbio, E. Del Nobile, S. Di Chiara, T. Hapola, M. Jarvinen, P. J. Lowdon, Y. Maravin.... (2011) Discovering Technicolor. arXiv. arXiv: 1104.1255v1

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 »

Scandurra, G., Cannatà, G., & Ciofi, C. (2011) Differential ultra low noise amplifier for low frequency noise measurements. AIP Advances, 1(2), 22144. DOI: 10.1063/1.3605716

Cannatà, G., Scandurra, G., & Ciofi, C. (2009) An ultralow noise preamplifier for low frequency noise measurements. Review of Scientific Instruments, 80(11), 114702. DOI: 10.1063/1.3258197

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 »

Farina, A., Frasca, M., & Sedehi, M. (2013) Solving Schrödinger equation via Tartaglia/Pascal triangle: a possible link between stochastic processing and quantum mechanics. Signal, Image and Video Processing, 8(1), 27-37. DOI: 10.1007/s11760-013-0473-y

Marco Frasca, & Alfonso Farina. (2014) Numerical proof of existence of fractional Wiener processes. arXiv. arXiv: 1403.1075v1

by Marco Frasca in The Gauge Connection

As my readers know, I have built up a CUDA machine on my desktop for few bucks to have lattice QCD at my home. There are a couple of reasons to write this post and the most important of this is that Pedro Bicudo and Nuno Cardoso have got their paper published on an archival [...]... Read more »

Nuno Cardoso, & Pedro Bicudo. (2011) SU(2) Lattice Gauge Theory Simulations on Fermi GPUs. Journal of Computational Physics. info:/10.1016/j.jcp.2011.02.023

Rafael B. Frigori. (2009) Screening masses in quenched (2 1)d Yang-Mills theory: universality from dynamics?. Nuclear Physics B, Volume 833, Issues 1-2, 1 July 2010, Pages 17-27. arXiv: 0912.2871v2

Marco Frasca. (2010) Mapping theorem and Green functions in Yang-Mills theory. PoS(FacesQCD)039, 2011. arXiv: 1011.3643v3

by Marco Frasca in The Gauge Connection

Marco Ruggieri is currently a post-doc fellow at Yukawa Institute for theoretical physics in Kyoto (Japan). Marco has got his PhD at University of Bari in Italy and spent a six months period at CERN. Currently, his main research areas are QCD at finite temperature and high density, QCD behavior in strong magnetic fields and [...]... Read more »

Rajan Gupta. (2011) Equation of State from Lattice QCD Calculations. arXiv. arXiv: 1104.0267v1

Philippe de Forcrand. (2010) Simulating QCD at finite density. PoS (LAT2009)010, 2009. arXiv: 1005.0539v2

M. Asakawa, & K. Yazaki. (1989) Chiral restoration at finite density and temperature. Nuclear Physics A, 504(4), 668-684. DOI: 10.1016/0375-9474(89)90002-X

Z. Fodor, & S. D. Katz. (2001) Lattice determination of the critical point of QCD at finite T and \mu. JHEP 0203 (2002) 014. arXiv: hep-lat/0106002v2

Marco Ruggieri. (2011) The Critical End Point of Quantum Chromodynamics Detected by Chirally Imbalanced Quark Matter. arXiv. arXiv: 1103.6186v1

by Marco Frasca in The Gauge Connection

I am a registered reader at New York Times and subscribed Dennis Overbye‘s articles. So, this morning I received the mail form the journal with a new writing from Dennis. The title is “At Particle Lab, a Tantalizing Glimpse Has Physicists Holding Their Breaths”. I just jumped on my chair and then, eagerly, read the [...]... Read more »

CDF Collaboration, & T. Aaltonen. (2011) Invariant Mass Distribution of Jet Pairs Produced in Association with a W boson in ppbar Collisions at sqrt(s) . arXiv. arXiv: 1104.0699v1

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

Marco Frasca. (2013) Exact solutions and zero modes in scalar field theory. arXiv. arXiv: 1310.6630v1

by Marco Frasca in The Gauge Connection

I have spent this week in Castiglioncello participating to the Conference DICE 2014. This Conference is organized with a cadence of two years with the main efforts due to Thomas Elze. I have been a participant to the 2006 edition where I gave a talk about decoherence and thermodynamic limit (see here and here). This […]... Read more »

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

Ali H. Chamseddine, Alain Connes, & Viatcheslav Mukhanov. (2014) Quanta of Geometry. arXiv. arXiv: 1409.2471v3

Gerard 't Hooft. (2014) The Cellular Automaton Interpretation of Quantum Mechanics. A View on the Quantum Nature of our Universe, Compulsory or Impossible?. arXiv. arXiv: 1405.1548v2

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

Ollitrault, J. (1992) Anisotropy as a signature of transverse collective flow. Physical Review D, 46(1), 229-245. DOI: 10.1103/PhysRevD.46.229

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

Lieb, E., & Simon, B. (1977) The Thomas-Fermi theory of atoms, molecules and solids. Advances in Mathematics, 23(1), 22-116. DOI: 10.1016/0001-8708(77)90108-6

by Marco Frasca in The Gauge Connection

A critical endpoint in QCD is a kind of holy grail in nuclear physics. It has been theorized as a point where deconfinement occurs and hadronic matter leaves place to some kind of plasma of quarks and gluons. We know that the breaking of chiral symmetry is something that people has proposed several years ago [...]... Read more »

Marco Frasca. (2011) Chiral symmetry in the low-energy limit of QCD at finite temperature. arXiv. arXiv: 1105.5274v2

M. A. Stephanov. (2008) Non-Gaussian fluctuations near the QCD critical point. Phys.Rev.Lett.102:032301,2009. arXiv: 0809.3450v1

Christiana Athanasiou, Krishna Rajagopal, & Misha Stephanov. (2010) Using Higher Moments of Fluctuations and their Ratios in the Search for the QCD Critical Point. Physical review D. arXiv: 1006.4636v2

Xiaofeng Luo. (2011) Probing the QCD Critical Point with Higher Moments of Net-proton Multiplicity Distributions. arXiv. arXiv: 1106.2926v1

by Marco Frasca in The Gauge Connection

As my readers could know, I have had a paper written in collaboration with Marco Ruggieri (see here). Marco is currently working at Yukawa Institute in Kyoto (Japan). The great news is that our paper has been accepted for publication on Physical Review D. I am really happy for this very good result of a [...]... Read more »

Marco Frasca, & Marco Ruggieri. (2011) Magnetic Susceptibility of the Quark Condensate and Polarization from Chiral Models. arXiv. arXiv: 1103.1194v1

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 »

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 »

A. Farina,, M. Frasca,, & M. Sedehi. (2014) Solving Schrödinger equation via Tartaglia/Pascal triangle: a possible link between stochastic processing and quantum mechanics. Signal, Image and Video Processing, 8(1), 27-37. DOI: 10.1007/s11760-013-0473-y

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 Maas. (2014) Some more details of minimal-Landau-gauge Yang-Mills propagators. arXiv. arXiv: 1402.5050v1

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

Axel Weber. (2012) The infrared fixed point of Landau gauge Yang-Mills theory. arXiv. arXiv: 1211.1473v1

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

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