A three-parameter Hopf deformation of the algebra of Feynman-like diagrams*-Reference-Cited by-同舟云学术

A three-parameter Hopf deformation of the algebra of Feynman-like diagrams*

Published:2010-03 Issue:2 Volume:31 Page:162-181
ISSN:1071-2836
Container-title:Journal of Russian Laser Research
language:en
Short-container-title:J Russ Laser Res

Author:

Duchamp G. H. E.,Blasiak P.,Horzela A.,Penson K. A.,Solomon A. I.

Publisher

Springer Science and Business Media LLC

Subject

Engineering (miscellaneous),Atomic and Molecular Physics, and Optics

Link

http://link.springer.com/content/pdf/10.1007/s10946-010-9135-5.pdf

Reference33 articles.

1. A. I. Solomon, G. Duchamp, P. Blasiak, et al., “Hopf algebra structure of a model quantum field theory,” in: J. L. Birman, S. Catto, and B. Nicolescu (eds.), Proceedings of the 26th International Colloquium on Group Theoretical Methods in Physics (New York, 2007), Canopus Publishing (2009), p. 490.

2. D. Kreimer, Knots and Feynman Diagrams, Cambridge Lecture Notes in Physics (2000), Vol. 13.

3. C. M. Bender, D. C. Brody, and B. K. Meister, J. Math. Phys., 40, 12 (1999).

4. G. H. E. Duchamp, P. Blasiak, A. Horzela, et al., “Feynman graphs and related Hopf algebras,” SSPCM’05 (Myczkowce, Poland), J. Phys.: Conf. Ser., 30, 107 (2006) [arXiv:cs.SC/0510041].

5. P. Cartier, “Fonctions polylogarithmes, nombres polyzeta et groupes pro-unipotents,” Séminaire Bourbaki, Asterisque n. 282 (2002).

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The mechanics of shuffle products and their siblings;Discrete Mathematics;2017-09

2. HOPF ALGEBRAS OF DIAGRAMS;International Journal of Algebra and Computation;2011-09

3. From Quantum Mechanics to Quantum Field Theory: The Hopf route;Journal of Physics: Conference Series;2011-03-01

4. An interface between physics and number theory;Journal of Physics: Conference Series;2011-03-01