Feynman integrals
S Weinzierl - arXiv preprint arXiv:2201.03593, 2022 - Springer
Feynman integrals are indispensable for precision calculations in quantum field theory. They
occur as soon as one goes beyond the leading order in perturbative quantum field theory …
occur as soon as one goes beyond the leading order in perturbative quantum field theory …
Minimally subtracted six-loop renormalization of -symmetric theory and critical exponents
MV Kompaniets, E Panzer - Physical Review D, 2017 - APS
We present the perturbative renormalization group functions of O (n)-symmetric ϕ 4 theory in
4-2 ϵ dimensions to the sixth loop order in the minimal subtraction scheme. In addition, we …
4-2 ϵ dimensions to the sixth loop order in the minimal subtraction scheme. In addition, we …
Integrated Correlators in Supersymmetric Yang-Mills Theory beyond Localization
We study integrated correlators of four superconformal primaries O p with arbitrary charges p
in N= 4 super Yang-Mills theory. The⟨ O 2 O 2 O p O p⟩ integrated correlators can be …
in N= 4 super Yang-Mills theory. The⟨ O 2 O 2 O p O p⟩ integrated correlators can be …
Embedding Feynman integral (Calabi-Yau) geometries in weighted projective space
JL Bourjaily, AJ McLeod, C Vergu, M Volk… - Journal of High Energy …, 2020 - Springer
A bstract It has recently been demonstrated that Feynman integrals relevant to a wide range
of perturbative quantum field theories involve periods of Calabi-Yau manifolds of arbitrarily …
of perturbative quantum field theories involve periods of Calabi-Yau manifolds of arbitrarily …
Graphical functions and single-valued multiple polylogarithms
O Schnetz - arXiv preprint arXiv:1302.6445, 2013 - arxiv.org
Graphical functions are single-valued complex functions which arise from Feynman
amplitudes. We study their properties and use their connection to multiple polylogarithms to …
amplitudes. We study their properties and use their connection to multiple polylogarithms to …
Numbers and functions in quantum field theory
O Schnetz - Physical Review D, 2018 - APS
We review recent results in the theory of numbers and single-valued functions on the
complex plane which arise in quantum field theory. These results are the basis for a new …
complex plane which arise in quantum field theory. These results are the basis for a new …
[PDF][PDF] Feynman amplitudes and cosmic Galois group
F Brown - arXiv preprint arXiv:1512.06409, 2015 - arxiv.org
arXiv:1512.06409v3 [math-ph] 1 Feb 2017 Page 1 arXiv:1512.06409v3 [math-ph] 1 Feb 2017
FEYNMAN AMPLITUDES, COACTION PRINCIPLE, AND COSMIC GALOIS GROUP FRANCIS …
FEYNMAN AMPLITUDES, COACTION PRINCIPLE, AND COSMIC GALOIS GROUP FRANCIS …
On the periods of some Feynman integrals
F Brown - arXiv preprint arXiv:0910.0114, 2009 - arxiv.org
We study the related questions:(i) when Feynman amplitudes in massless $\phi^ 4$ theory
evaluate to multiple zeta values, and (ii) when their underlying motives are mixed Tate. More …
evaluate to multiple zeta values, and (ii) when their underlying motives are mixed Tate. More …
Tropical Monte Carlo quadrature for Feynman integrals
M Borinsky - Annales de l'Institut Henri Poincaré D, 2023 - ems.press
We introduce a new method to evaluate algebraic integrals over the simplex numerically.
This new approach employs techniques from tropical geometry and exceeds the capabilities …
This new approach employs techniques from tropical geometry and exceeds the capabilities …