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The Gauge Connection

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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

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. (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

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

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

Zeeya Merali. (2014) Stephen Hawking: 'There are no black holes'. Nature. DOI: 10.1038/nature.2014.14583

S. W. Hawking. (2014) Information Preservation and Weather Forecasting for Black Holes. arXiv. arXiv: 1401.5761v1

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

Edward Witten. (1982) Constraints on Supersymmetry Breaking. Nuclear Physics B, 253-316. DOI: 10.1016/0550-3213(82)90071-2

Marco Frasca. (2013) Numerical study of the Dyson-Schwinger equations for the Wess-Zumino model. arXiv. arXiv: 1311.7376v1

Marco Frasca. (2012) Chiral Wess-Zumino model and breaking of supersymmetry. arXiv. arXiv: 1211.1039v1

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

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

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 »

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

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

Marco Frasca. (2012) Classical solutions of a massless Wess-Zumino model. arXiv. arXiv: 1212.1822v2

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

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 »

ATLAS Collaboration. (2013) Measurements of Higgs boson production and couplings in diboson final states with the ATLAS detector at the LHC. arXiv. arXiv: 1307.1427v1

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

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

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

Adachi, S., Toda, M., & Ikeda, K. (1988) Quantum-Classical Correspondence in Many-Dimensional Quantum Chaos. Physical Review Letters, 61(6), 659-661. DOI: 10.1103/PhysRevLett.61.659

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

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

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 »

Steele, T., & Wang, Z. (2013) Is Radiative Electroweak Symmetry Breaking Consistent with a 125 GeV Higgs Mass?. Physical Review Letters, 110(15). DOI: 10.1103/PhysRevLett.110.151601

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

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

by Marco Frasca in The Gauge Connection

After Moriond conference last week, and while Moriond QCD and Aspen conferences are running yet, an important conclusion can be drawn and it is the one given in this CERN press release. The particle announced on 4th July last year is for certain a Higgs particle as it has spin 0, positive parity and couples [...]... Read more »

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

by Marco Frasca in The Gauge Connection

I am still working with stochastic processes and, as my readers know, I have proposed a new view of quantum mechanics assuming that at the square root of a Wiener process can be attached a meaning (see here and here). I was able to generate it through a numerical code. A square root of a [...]... Read more »

by Marco Frasca in The Gauge Connection

After CERN’s updates (well recounted here and here) producing no real news but just some concern about possible Higgs cloning, I would like to discuss here some mathematical facts about what one should expect about mass generation and why we should not be happy with these results, now coming out on a quarterly basis. The [...]... Read more »

M. Beneke, & P. Moch. (2012) On "dynamical mass" generation in Euclidean de Sitter space. arXiv. arXiv: 1212.3058v1

by Marco Frasca in The Gauge Connection

Following my series of posts on the link between the square root of a stochastic process and quantum mechanics (see here, here, here, here, here), that I proved to exist both theoretically and experimentally, I am pleased to let you know that the first paper of my collaboration with Alfonso Farina and Matteo Sedehi was [...]... 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

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