A Perspective on Regularization and Curvature

Author:

Agarwala Susama

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference16 articles.

1. Agarwala, S.: The β-function over curved space-time under ζ-function regularization (2009). arXiv:0909.4122

2. Bergbauer, C., Kreimer, D.: Hopf algebras in renormalization theory: locality and Dyson–Schwinger equations from Hochschild cohomology. In: IRMA Lectures in Mathematics and Theoretical Physics, vol. 10, pp. 133–164 (2006). arXiv:hep-th/0506190v2

3. Connes, A., Kreimer, D.: Renormalization in quantum field theory and the Riemann–Hilbert problem I: the Hopf algebra structure of graphs and the main theorem. In: Communications in Mathematical Physics, vol. 210, pp. 249–273 (2001). arXiv:hep-th/9912092v1

4. Connes, A., Kreimer, D.: Renormalization in quantum field theory and the Riemann–Hilbert problem II: the β function, diffeomorphisms and renormalization group. In: Communications in Mathematical Physics, vol. 216, pp. 215–241 (2001). arXiv:hep-th/0003188v1

5. Connes A., Marcolli M.: Noncommutative geometry, quantum fields, and motives. American Mathematical Society, Providence (2008)

Cited by 3 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 geometricβ-function in curved space-time under operator regularization;Journal of Mathematical Physics;2015-06

2. THE GLOBAL β-FUNCTIONS FROM SOLUTIONS OF DYSON–SCHWINGER EQUATIONS;Modern Physics Letters A;2013-10-17

3. GEOMETRICALLY RELATING MOMENTUM CUT-OFF AND DIMENSIONAL REGULARIZATION;International Journal of Geometric Methods in Modern Physics;2012-12-05

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