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All posts; Tags Include "Mathematical Physics"

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  • April 14, 2017
  • 08:58 AM
  • 205 views

Well below 1%

by Marco Frasca in The Gauge Connection

When a theory is too hard to solve people try to consider lower dimensional cases. This also happened for Yang-Mills theory. The four dimensional case is notoriously difficult to manage due to the large coupling and the three dimensional case has been treated both theoretically and by lattice computations. In this latter case, the ground […]... Read more »

Andreas Athenodorou, & Michael Teper. (2017) SU(N) gauge theories in 2 1 dimensions: glueball spectra and kstring tensions. J. High Energ. Phys., 15. arXiv: 1609.03873v1

Marco Frasca. (2015) Quantum Yang-Mills field theory. Eur. Phys. J. Plus (2017) 132: 38. arXiv: 1509.05292v2

  • December 30, 2016
  • 12:20 PM
  • 383 views

Yang-Mills theory paper gets published!

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

  • June 16, 2016
  • 05:49 AM
  • 843 views

Higgs or not Higgs, that is the question

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 »

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

  • May 24, 2016
  • 10:02 AM
  • 802 views

Should Biologists be Guided by Beauty?

by Jalees Rehman in The Next Regeneration

One key characteristic of a beautiful scientific theory is the simplicity of the underlying concepts. According to Weinberg, Einstein's theory of gravitation is described in fourteen equations whereas Newton's theory can be expressed in three. Despite the appearance of greater complexity in Einstein's theory, Weinberg finds it more beautiful than Newton's theory because the Einsteinian approach rests on one elegant central principle – the equivalence of gravitation and ........ Read more »

Dietrich, M., Ankeny, R., & Chen, P. (2014) Publication Trends in Model Organism Research. Genetics, 198(3), 787-794. DOI: 10.1534/genetics.114.169714  

Weinberg, Steven. (1992) Dreams of a Final Theory . Vintage Books. info:/

  • December 27, 2015
  • 11:07 AM
  • 1,140 views

Quantum gravity

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

  • December 17, 2015
  • 07:54 AM
  • 863 views

News from CERN

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) Quantum Yang-Mills field theory. arxiv. arXiv: 1509.05292v1

  • September 2, 2015
  • 05:03 AM
  • 827 views

Higgs even more standard

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 »

  • April 25, 2015
  • 11:53 AM
  • 1,142 views

NASA and warp drive: An update

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

  • April 5, 2015
  • 03:32 PM
  • 1,162 views

That Higgs is trivial!

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 »

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

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

  • March 14, 2015
  • 10:31 AM
  • 1,128 views

Is Higgs alone?

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

  • February 10, 2015
  • 07:00 AM
  • 1,691 views

Sometimes Warped Thinking Is A Good Thing

by Mark E. Lasbury in The 'Scope

As Star Trek’s 50th anniversary approaches, are we getting closer to traveling at light speed? Believe it or not – yes, we are. We have begun to understand and harness the power of antimatter, and the plasma bubble-driven warp drive has moved from silly idea to serious consideration – so much so that NASA has designed a warp drive ship, the IXS Enterprise, of course.... Read more »

S. Beghella-Bartoli, P.M. Bhujbal, A. Nas. (2015) Confirmation of Santilli's detection of antimatter galaxies via a telescope with concave lens. America Journal of Modern Physics, 4(1), 34. info:/

Ganiev, Y., Gordeev, V., Krasilnikov, A., Lagutin, V., Otmennikov, V., & Panasenko, A. (2000) Aerodynamic Drag Reduction by Plasma and Hot-Gas Injection. Journal of Thermophysics and Heat Transfer, 14(1), 10-17. DOI: 10.2514/2.6504  

Ronan Keane, & Wei-Ming Zhang. (2012) Beamed Core Antimatter Propulsion: Engine Design and Optimization. J.Br.Interplanet.Soc. arXiv: 1205.2281v2

  • January 8, 2015
  • 05:36 PM
  • 1,105 views

What is going on at NASA?

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

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

  • December 8, 2014
  • 06:59 AM
  • 1,393 views

Standard Model at the horizon

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

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

  • November 17, 2014
  • 11:54 AM
  • 1,105 views

That’s a Higgs but how many?

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

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

  • September 21, 2014
  • 04:40 PM
  • 1,528 views

DICE 2014

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

  • September 10, 2014
  • 05:10 AM
  • 1,036 views

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

  • July 21, 2014
  • 02:31 PM
  • 1,202 views

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 11, 2014
  • 11:56 AM
  • 1,094 views

Engage Warp Drive, Mr. Sulu!

by Melissa Chernick in Science Storiented

A warp drive may actually become a real thing. Permission to get a little excited.A couple of years ago, several stories hit the internet when physicist Harold White announced that his NASA team at the Johnson Space Center had begun work on the development of  a warp drive. You can probably see how news of potential faster-than-light-speed travel might throw geeks into a Star Trek-fueled frenzy. White proposed a design that would solve the problems of the Alcubierre Drive concept. Most peop........ Read more »

  • April 14, 2014
  • 01:22 PM
  • 993 views

Right-Sizing U.S. Electrical Grid Could Reduce Blackout Risk

by dailyfusion in The Daily Fusion

David Newman, a physicist at the University of Alaska, believes that smaller grids would reduce the likelihood of severe outages, such as the 2003 Northeast blackout that cut power to 50 million people in the United States and Canada for up to two days.... Read more »

Carreras, B., Newman, D., & Dobson, I. (2014) Does size matter?. Chaos: An Interdisciplinary Journal of Nonlinear Science, 24(2), 23104. DOI: 10.1063/1.4868393  

  • March 6, 2014
  • 07:05 AM
  • 1,661 views

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 »

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