Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/a-combinatorial-perspective-on-quantum-field-theory-feynman-integrals-0gzZSVCUNj
References (18)
-
O. Schnetz (2008)
Quantum periods: A census of \phi^4-transcendentalsarXiv: High Energy Physics - Theory
-
S. Bloch, D. Kreimer (2010)
Feynman amplitudes and Landau singularities for 1-loop graphsarXiv: High Energy Physics - Theory
-
E. Panzer (2014)
On hyperlogarithms and Feynman integrals with divergences and many scalesJournal of High Energy Physics, 2014
-
F. Brown, K. Yeats (2009)
Spanning Forest Polynomials and the Transcendental Weight of Feynman GraphsCommunications in Mathematical Physics, 301
-
F. Brown (2009)
On the periods of some Feynman integralsarXiv: Algebraic Geometry
-
S. Bloch, D. Kreimer (2008)
Mixed Hodge Structures and Renormalization in PhysicsarXiv: High Energy Physics - Theory
-
D. Broadhurst, D. Kreimer (1995)
Knots and Numbers in ϕ4 Theory to 7 Loops and BeyondInternational Journal of Modern Physics C, 6
-
H. Cendra, J. Marsden, T. Ratiu (2001)
Geometric mechanics, Lagrangian reduction, and nonholonomic systems -
C. Bogner, S. Weinzierl (2010)
Feynman graph polynomialsInternational Journal of Modern Physics A, 25
-
F. Brown, O. Schnetz (2013)
Modular forms in Quantum Field TheoryarXiv: Algebraic Geometry
-
P. Belkale, P. Brosnan (2000)
Matroids motives, and a conjecture of KontsevichDuke Mathematical Journal, 116
-
D. Doryn (2010)
On One Example and One Counterexample in Counting Rational Points on Graph HypersurfacesLetters in Mathematical Physics, 97
-
E. Panzer (2015)
Feynman integrals and hyperlogarithmsarXiv: Mathematical Physics
-
S. Bloch, H. Esnault, D. Kreimer (2005)
On Motives Associated to Graph PolynomialsCommunications in Mathematical Physics, 267
-
佐藤 光 (1981)
C. Itzykson and J. Zuber: Quantum Field Theory, McGraw-Hill, New York, 1980, 705ぺージ, 24×17cm, 18,870円., 36
-
Iain Crump, Matt DeVos, K. Yeats (2015)
Period Preserving Properties of an Invariant from the Permanent of Signed Incidence MatricesarXiv: Combinatorics
-
E. Panzer (2014)
Feynman integrals via hyperlogarithmsarXiv: High Energy Physics - Phenomenology
-
F. Brown, O. Schnetz, K. Yeats (2012)
Properties of c_2 invariants of Feynman graphsarXiv: Algebraic Geometry
- Publisher
- Springer International Publishing
- Copyright
- © The Author(s) 2017
- ISBN
- 978-3-319-47550-9
- Pages
- 87 –92
- DOI
- 10.1007/978-3-319-47551-6_11
- Publisher site
- See Chapter on Publisher Site
Abstract
[In the chord diagram expansion and the Krüger-Kreimer log expansion we saw that the primitive Feynman diagrams were the analytic input. In both cases, with these primitives taken as black boxes, there was a nice combinatorial understanding of how to put things together. Now it is time to look at these black boxes.]
Published: Nov 26, 2016