"Number theory and physics"의 두 판 사이의 차이
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imported>Pythagoras0 |
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| − | ==totally real field and CFT== | + | ==examples== |
| − | + | ===totally real field and CFT=== | |
| − | * Huang, An, | + | * Huang, An, [http://arxiv.org/abs/0909.0795 On Twisted Virasoro Operators and Number Theory] 2009 |
* adele and idele | * adele and idele | ||
| − | * [http://eprintweb.org/S/article/math/0904.3399 ANALOGIES BETWEEN KNOTS AND PRIMES, 3-MANIFOLDS AND NUMBER RINGs] | + | * [http://eprintweb.org/S/article/math/0904.3399 ANALOGIES BETWEEN KNOTS AND PRIMES, 3-MANIFOLDS AND NUMBER RINGs] |
** Masanori Morishita | ** 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] | + | * [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] |
** Bernard David Barkan Roth | ** Bernard David Barkan Roth | ||
| − | * [http://arxiv.org/abs/math.NT/0703392 The Weil proof and the geometry of the adeles class space] | + | * [http://arxiv.org/abs/math.NT/0703392 The Weil proof and the geometry of the adeles class space] |
** Alain Connes (College de France), Caterina Consani (Johns Hopkins), Matilde Marcolli (MPI Bonn) | ** 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] | + | * [http://www.springerlink.com/content/k30v44524276r854/ Quantum field theory, Grassmannians, and algebraic curves] |
** Edward Witten | ** Edward Witten | ||
| − | * On p-adic and Adelic generalization of quantum field theory | + | * On p-adic and Adelic generalization of quantum field theory |
** Branko Dragovich | ** 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] | |
| − | |||
| − | |||
| − | |||
| − | * [http://arxiv.org/abs/cond-mat/9709045 From number theory to statistical mechanics: Bose-Einstein condensation in isolated traps] | ||
** Authors: Siegfried Grossmann, Martin Holthaus | ** 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.] | + | * [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.] |
** Andreas Knauf | ** Andreas Knauf | ||
| − | + | ||
==related items== | ==related items== | ||
* [[Physics and algebras]] | * [[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== |
| − | * http:// | + | * Steven S. Gubser, Johannes Knaute, Sarthak Parikh, Andreas Samberg, Przemek Witaszczyk, <math>p</math>-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] | * [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.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]] | [[분류:개인노트]] | ||
| − | |||
[[분류:Number theory and physics]] | [[분류:Number theory and physics]] | ||
| + | [[분류:migrate]] | ||
2020년 12월 28일 (월) 05:26 기준 최신판
examples
totally real field and CFT
- Huang, An, On Twisted Virasoro Operators and Number Theory 2009
- adele and idele
- ANALOGIES BETWEEN KNOTS AND PRIMES, 3-MANIFOLDS AND NUMBER RINGs
- Masanori Morishita
- A general approach to quantum fields and strings on adeles
- Bernard David Barkan Roth
- The Weil proof and the geometry of the adeles class space
- Alain Connes (College de France), Caterina Consani (Johns Hopkins), Matilde Marcolli (MPI Bonn)
- Quantum field theory, Grassmannians, and algebraic curves
- Edward Witten
- On p-adic and Adelic generalization of quantum field theory
- 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
- From number theory to statistical mechanics: Bose-Einstein condensation in isolated traps
- Authors: Siegfried Grossmann, Martin Holthaus
- Number theory, dynamical systems and statistical mechanics.
- Andreas Knauf
- 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, Polylogarithms and physical applications, 2013
- Vergu, 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.
- MATILDE MARCOLLI 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