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The Gauge Connection

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by Marco Frasca in The Gauge Connection

Exact solutions of quantum field theories are very rare and, normally, refer to toy models and pathological cases. Quite recently, I put on arxiv a pair of papers presenting exact solutions both of the Higgs sector of the Standard Model and the Yang-Mills theory made just of gluons. The former appeared a few month ago […]... Read more »

Marco Frasca. (2015) A theorem on the Higgs sector of the Standard Model. Eur. Phys. J. Plus (2016) 131: 199. arXiv: 1504.02299v3

Marco Frasca. (2015) Quantum Yang-Mills field theory. arXiv. arXiv: 1509.05292v1

Carl M. Bender, Kimball A. Milton, & Van M. Savage. (1999) Solution of Schwinger-Dyson Equations for ${\cal PT}$-Symmetric Quantum Field Theory. Phys.Rev.D62:085001,2000. arXiv: hep-th/9907045v1

by Marco Frasca in The Gauge Connection

LHCP2016 is running yet with further analysis on 2015 data by people at CERN. We all have seen the history unfolding since the epochal event on 4 July 2012 where the announcement of the great discovery happened. Since then, also Kibble passed away. What is still there is our need of a deep understanding of the […]... Read more »

by Marco Frasca in The Gauge Connection

Quantum gravity appears today as the Holy Grail of physics. This is so far detached from any possible experimental result but with a lot of attentions from truly remarkable people anyway. In some sense, if a physicist would like to know in her lifetime if her speculations are worth a Nobel prize, better to work […]... Read more »

Ali H. Chamseddine, Alain Connes, & Viatcheslav Mukhanov. (2014) Quanta of Geometry: Noncommutative Aspects. Phys. Rev. Lett. 114 (2015) 9, 091302. arXiv: 1409.2471v4

Ali H. Chamseddine, Alain Connes, & Viatcheslav Mukhanov. (2014) Geometry and the Quantum: Basics. JHEP 12 (2014) 098. arXiv: 1411.0977v1

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

by Marco Frasca in The Gauge Connection

Two days ago, CERN presented their new results at 13 TeV to the World. Of course, collected data so far are not enough for conclusive results but the these are exciting anyway. The reason is that both the collaborations, CMS and ATLAS, see a bump at around 750 GeV in the decay. Summing up the results […]... Read more »

Marco Frasca. (2015) A theorem on the Higgs sector of the Standard Model. arxiv. arXiv: 1504.02299v2

Marco Frasca. (2015) Quantum Yang-Mills field theory. arxiv. arXiv: 1509.05292v1

by Marco Frasca in The Gauge Connection

There has been a lot of rumor on measurements performed by Eagleworks labs at NASA this spring. After that, NASA imposed a veto on whatever information should coming out about the work of this group until peer-reviewed work should have appeared. Most of the problems come out from the question of the EmDrive. This is […]... Read more »

Marco Frasca. (2015) Einstein-Maxwell equations for asymmetric resonant cavities. arXiv. arXiv: 1505.06917v1

by Marco Frasca in The Gauge Connection

LHCP 2015 is going on at St. Peterburg and new results were presented by the two main collaborations at CERN. CMS and ATLAS combined the results from run 1 and improved the quality of the measured data of the Higgs particle discovered on 2012. CERN press release is here. I show you the main picture about […]... Read more »

Marco Frasca. (2015) A theorem on the Higgs sector of the Standard Model. arxiv. arXiv: 1504.02299v1

by Marco Frasca in The Gauge Connection

There is some excitement in the net about some news of Harold White’s experiment at NASA. I have uncovered it by chance at a forum. This is a well-frequented site with people at NASA posting on it and regularly updating about the work that they are carrying out. You can also have noticed some activity […]... Read more »

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

by Marco Frasca in The Gauge Connection

Notwithstanding LHC has seen the particle, the Higgs sector of the Standard Model has some serious problems. This fact yielded more than one headache to physicists. One of these difficulties is called technically “triviality“. The scalar field theory, that is so well defined classically, does not exist as a quantum field theory unless is non-interacting. […]... Read more »

Aizenman, M. (1981) Proof of the Triviality of Field Theory and Some Mean-Field Features of Ising Models for . Physical Review Letters, 47(12), 886-886. DOI: 10.1103/PhysRevLett.47.886

Renata Jora. (2015) $Φ^4$ theory is trivial. arXiv. arXiv: 1503.07298v1

Marco Frasca. (2006) Proof of triviality of $λφ^4$ theory. Int.J.Mod.Phys.A22:2433-2439,2007. arXiv: hep-th/0611276v5

Igor M. Suslov. (2010) Asymptotic Behavior of the \Beta Function in the Φ^4 Theory: A Scheme Without Complex Parameters. J.Exp.Theor.Phys.111:450-465,2010. arXiv: 1010.4317v1

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

by Marco Frasca in The Gauge Connection

I am back after the announcement by CERN of the restart of LHC. On May this year we will have also the first collisions. This is great news and we hope for the best and the best here is just the breaking of the Standard Model. The Higgs in the title is not Professor Higgs […]... Read more »

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

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

Marco Frasca. (2014) Exact solutions for classical Yang-Mills fields. arXiv. arXiv: 1409.2351v2

Biagio Lucini, & Marco Panero. (2012) SU(N) gauge theories at large N. Physics Reports 526 (2013) 93-163. arXiv: 1210.4997v2

by Marco Frasca in The Gauge Connection

As a physicist I have been always interested about experiments that can corroborate theoretical findings. Most of these often become important applications for everyday life or change forever the course of the history of mankind. With this in view, I am currently following with great interest the efforts by the NASA group headed by Harold […]... 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

David Garfinkle. (2003) Numerical simulations of generic singuarities. Phys.Rev.Lett. 93 (2004) 161101. arXiv: gr-qc/0312117v4

by Marco Frasca in The Gauge Connection

Hawking radiation is one of the most famous effects where quantum field theory combines successfully with general relativity. Since 1975 when Stephen Hawking uncovered it, this results has obtained a enormous consideration and has been derived in a lot of different ways. The idea is that, very near the horizon of a black hole, a […]... Read more »

V. B. Bezerra, H. S. Vieira, & André A. Costa. (2013) The Klein-Gordon equation in the spacetime of a charged and rotating black hole. Class. Quantum Grav. 31 (2014) 045003. arXiv: 1312.4823v1

H. S. Vieira, V. B. Bezerra, & C. R. Muniz. (2014) Exact solutions of the Klein-Gordon equation in the Kerr-Newman background and Hawking radiation. Annals of Physics 350 (2014) 14-28. arXiv: 1401.5397v4

Leahy, D., & Unruh, W. (1983) Effects of a λΦ4 interaction on black-hole evaporation in two dimensions. Physical Review D, 28(4), 694-702. DOI: 10.1103/PhysRevD.28.694

Giovanni Collini, Valter Moretti, & Nicola Pinamonti. (2013) Tunnelling black-hole radiation with $φ^3$ self-interaction: one-loop computation for Rindler Killing horizons. Lett. Math. Phys. 104 (2014) 217-232. arXiv: 1302.5253v4

Marco Frasca. (2014) Hawking radiation and interacting fields. arXiv. arXiv: 1412.1955v1

by Marco Frasca in The Gauge Connection

CMS and ATLAS collaborations are yet up to work producing results from the datasets obtained in the first phase of activity of LHC. The restart is really near the corner and, maybe already the next summer, things can change considerably. Anyway what they get from the old data can be really promising and rather intriguing. […]... Read more »

Marco Frasca. (2012) Classical solutions of a massless Wess-Zumino model. J.Nonlin.Math.Phys. 20:4, 464-468 (2013). arXiv: 1212.1822v2

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

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

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 »

CMS Collaboration. (2013) Measurement of Higgs boson production and properties in the WW decay channel with leptonic final states. JHEP 01 (2014) 096. arXiv: 1312.1129v2

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

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. I. Phenomenology of Q^{2}Q[over ¯]^{2} mesons. Physical Review D, 15(1), 267-280. DOI: 10.1103/PhysRevD.15.267

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

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 »

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

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

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