"Number theory and physics"의 두 판 사이의 차이

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-==examples==
-===totally real field and CFT===
-*  Huang, An, [http://arxiv.org/abs/0909.0795 On Twisted Virasoro Operators and Number Theory] 2009<br>
-* adele and idele
-* [http://eprintweb.org/S/article/math/0904.3399 ANALOGIES BETWEEN KNOTS AND PRIMES, 3-MANIFOLDS AND NUMBER RINGs]<br>
-** Masanori Morishita
-* [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6TVN-470W84S-1RM&_user=4420&_rdoc=1&_fmt=&_orig=search&_sort=d&view=c&_acct=C000059607&_version=1&_urlVersion=0&_userid=4420&md5=628ced56d2dcce458d1d3ed5ffb89ec4 A general approach to quantum fields and strings on adeles]<br>
-** Bernard David Barkan Roth
-* [http://arxiv.org/abs/math.NT/0703392 The Weil proof and the geometry of the adeles class space]<br>
-** Alain Connes (College de France), Caterina Consani (Johns Hopkins), Matilde Marcolli (MPI Bonn)
-* [http://www.springerlink.com/content/k30v44524276r854/ Quantum field theory, Grassmannians, and algebraic curves]<br>
-** Edward Witten
-*  On p-adic and Adelic generalization of quantum field theory<br>
-** Branko Dragovich
-===instanton numbers===
-* Stienstra, Jan. 2006. “Mahler Measure Variations, Eisenstein Series and Instanton Expansions.” In Mirror Symmetry. V, 38:139–150. AMS/IP Stud. Adv. Math. Providence, RI: Amer. Math. Soc. http://www.ams.org/mathscinet-getitem?mr=2282958.
-===statistical mechanics===
-* [http://arxiv.org/abs/cond-mat/9709045 From number theory to statistical mechanics: Bose-Einstein condensation in isolated traps]<br>
-** Authors: Siegfried Grossmann, Martin Holthaus
-* [http://www.google.com/url?sa=t&source=web&ct=res&cd=1&url=ftp%3A%2F%2Fftp.esi.ac.at%2Fpub%2FZetaproc%2Fknauf.pdf&ei=RtoESvfuKKW8tAON7e3-AQ&usg=AFQjCNEXhoWE2Kg6KesD94CWUgpP79-9KA&sig2=b94GCf5LG8lZCKVglfvqQQ Number theory, dynamical systems and statistical mechanics.]<br>
-** Andreas Knauf
-==related items==
-* [[Physics and algebras]]
-* [[Modular invariance in math and physics]]
-* [[Mock theta and physics]]
-* [[Infinities in number theory and physics]]
-* [[Representations of linear groups : an introduction based on examples from physics and number theory]]
-* [[Physics of number fields]]
-* [[Amplitudes and Periods conference]]
-* [[Arithmetic Chern-Simons Theory]]
-==expositions==
-* Vergu, [http://www.maths.dur.ac.uk/lms/2013/PNTPP13/talks/0190vergu.pdf Polylogarithms and physical applications], 2013
-* Vergu, [http://www2.fc.up.pt/mathschool/sites/default/files/notes.pdf Notes on Polylogarithms]
-* Cardy, John. 2010. “The Ubiquitous ‘C’: From the Stefan-Boltzmann Law to Quantum Information.” arXiv:1008.2331 (August 13). doi:10.1088/1742-5468/2010/10/P10004. http://arxiv.org/abs/1008.2331.
-** slides [http://www.google.com/url?sa=t&source=web&cd=1&ved=0CBYQFjAA&url=http%3A%2F%2Fwww-thphys.physics.ox.ac.uk%2Fpeople%2FJohnCardy%2Fseminars%2Fstatphys24.pdf&ei=afRsTOroL4LmsQO-o7SrCw&usg=AFQjCNE0z88iPN6DhZb8gtKp7T20yiKWAQ&sig2=tvLsYlqY4J2RULs8zITdFw The ubiquitous c — from the Stefan-Boltzmann law to quantum information theory]
-* MATILDE MARCOLLI [http://www.math.fsu.edu/~marcolli/NTphysFinal.pdf NUMBER THEORY IN PHYSICS]
-* http://physics.stackexchange.com/questions/414/number-theory-in-physics
-==articles==
-* Steven S. Gubser, Johannes Knaute, Sarthak Parikh, Andreas Samberg, Przemek Witaszczyk, $p$-adic AdS/CFT, arXiv:1605.01061 [hep-th], May 03 2016, http://arxiv.org/abs/1605.01061
-* Broadhurst, David, and Oliver Schnetz. “Algebraic Geometry Informs Perturbative Quantum Field Theory.” arXiv:1409.5570 [hep-Th], September 19, 2014. http://arxiv.org/abs/1409.5570.
-==web resources==
-* [http://empslocal.ex.ac.uk/people/staff/mrwatkin/zeta/physics.htm number theory and physics archive]
-==conferences and workshops==
-* [http://www.birs.ca/events/2011/5-day-workshops/11w5001 Number Theory and Physics at the Crossroads (11w5001)]
-* [http://www.maths.dur.ac.uk/events/Meetings/LMS/2013/PNTPP13/ Polylogarithms as a Bridge between Number Theory and Particle Physics]
-*  Low-dimensional Topology and Number Theory
-** http://www.birs.ca/birspages.php?task=displayevent&event_id=07w5052
-** http://www.birs.ca/workshops/2007/07w5052/report07w5052.pdf
-[[분류:개인노트]]
-[[Category:research topics]]
-[[분류:Number theory and physics]]

"Number theory and physics"의 두 판 사이의 차이

2020년 11월 14일 (토) 02:32 판

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