Noncommutative standard model: Difference between revisions

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In theoretical [[particle physics]], the '''non-commutative Standard Model''', mainly due to the French mathematician [[Alain Connes]], uses his [[noncommutative geometry]] to devise an extension of the [[Standard Model]] to include a modified form of [[general relativity]]. This unification implies a few constraints on the parameters of the Standard Model. Under an additional assumption, known as the "big desert" hypothesis, one of these constraints determines the mass of the [[Higgs boson]] to be around 170 [[GeV]], comfortably within the range of the [[Large Hadron Collider]]. Recent [[Tevatron]] experiments exclude a Higgs mass of 158 to 175 GeV at the 95% confidence level and recent experiments at [[CERN]] suggest a Higgs mass of between 125 GeV and 127 GeV.<ref name="CERN March 2013">{{cite web|last=Pralavorio|first=Corinne|title=New results indicate that new particle is a Higgs boson|url=http://home.web.cern.ch/about/updates/2013/03/new-results-indicate-new-particle-higgs-boson|accessdate=14 March 2013|date=2013-03-14|publisher=CERN}}</ref><ref name=nbc14032013>{{cite news |last=Bryner |first=Jeanna |title=Particle confirmed as Higgs boson |url=http://science.nbcnews.com/_news/2013/03/14/17311477-particle-confirmed-as-higgs-boson |date=14 March 2013 |work=[[NBC News]] |accessdate=14 March 2013}}</ref><ref name="Huffington 14 March 2013">{{cite news|url=http://www.huffingtonpost.com/2013/03/14/higgs-boson-discovery-confirmed-cern-large-hadron-collider_n_2874975.html?icid=maing-grid7%7Cmain5%7Cdl1%7Csec1_lnk2%26pLid%3D283596|title= Higgs Boson Discovery Confirmed After Physicists Review Large Hadron Collider Data at CERN|publisher= Huffington Post|accessdate=14 March 2013|date=14 March 2013}}</ref> However, the previously computed Higgs mass was found to have an error, and more recent calculations are in line with the measured Higgs mass.<ref>[httphttps://arxiv.org/abs/1208.1030 Resilience of the Spectral Standard Model]</ref><ref>Asymptotic safety, hypergeometric functions, and the Higgs mass in spectral action models [httphttps://arxiv.org/abs/1208.5023]</ref>

==Background==

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* [[Alain Connes]] (1994) ''[http://www.alainconnes.org/docs/book94bigpdf.pdf Noncommutative geometry.]'' Academic Press. {{ISBN|0-12-185860-X}}.

* -------- (1995) "Noncommutative geometry and reality," ''J. Math. Phys.'' 36: 6194.

* -------- (1996) "[httphttps://arxiv.org/abs/hep-th/9603053 Gravity coupled with matter and the foundation of noncommutative geometry,]" ''Comm. Math. Phys.'' 155: 109.

* -------- (2006) "[http://www.alainconnes.org/docs/einsymp.pdf Noncommutative geometry and physics,]"

* -------- and [[Matilde Marcolli|M. Marcolli]], ''[http://www.alainconnes.org/en/downloads.php Noncommutative Geometry: Quantum Fields and Motives.]'' American Mathematical Society (2007).

* Chamseddine, A., A. Connes (1996) "[httphttps://arxiv.org/abs/hep-th/9606001 The spectral action principle,]" ''Comm. Math. Phys.'' 182: 155.

* Chamseddine, A., A. Connes, [[Matilde Marcolli|M. Marcolli]] (2007) "[httphttps://arxiv.org/abs/hep-th/0610241 Gravity and the Standard Model with neutrino mixing,]" ''Adv. Theor. Math. Phys.'' 11: 991.

* Jureit, Jan-H., Thomas Krajewski, Thomas Schücker, and Christoph A. Stephan (2007) "[httphttps://arxiv.org/abs/0705.0489 On the noncommutative standard model,]" ''Acta Phys. Polon.'' B38: 3181-3202.

*Schücker, Thomas (2005) ''[httphttps://arxiv.org/abs/hep-th/0111236 Forces from Connes's geometry.]'' Lecture Notes in Physics 659, Springer.

==External links==