Algebraic Interplay between Renormalization and Monodromy
暂无分享,去创建一个
[1] M. Kassabov,et al. Assembling homology classes in automorphism groups of free groups , 2015, 1501.02351.
[2] A. Zvonkin,et al. Graphs on Surfaces and Their Applications , 2003 .
[3] M. Borinsky. Tropical Monte Carlo quadrature for Feynman integrals , 2020, 2008.12310.
[4] Alain Connes,et al. Renormalization in Quantum Field Theory and the Riemann–Hilbert Problem I: The Hopf Algebra Structure of Graphs and the Main Theorem , 2000 .
[5] F. Brown,et al. Angles, Scales and Parametric Renormalization , 2011, 1112.1180.
[6] R. Kaufmann,et al. Three Hopf algebras from number theory, physics & topology, and their common background II: general categorical formulation , 2020, 2001.08722.
[7] D. Kreimer. Anatomy of a gauge theory , 2005, hep-th/0509135.
[8] Michael Borinsky,et al. Feynman graph generation and calculations in the Hopf algebra of Feynman graphs , 2014, Comput. Phys. Commun..
[9] T. Binoth,et al. Numerical evaluation of multi-loop integrals by sector decomposition , 2004 .
[10] Gordon F. Royle,et al. Algebraic Graph Theory , 2001, Graduate texts in mathematics.
[11] F. Brown. Feynman amplitudes, coaction principle, and cosmic Galois group , 2017 .
[12] K. Vogtmann,et al. Moduli of graphs and automorphisms of free groups , 1986 .
[13] Loic Foissy,et al. CHROMATIC POLYNOMIALS AND BIALGEBRAS OF GRAPHS , 2016, International Electronic Journal of Algebra.
[14] O. Steinmann. Ueber den Zusammenhang zwischen den Wightmanfunktionen und den retardierten Kommutatoren , 1960 .
[15] G. Grätzer. General Lattice Theory , 1978 .
[17] B. Ruijl,et al. Local Unitarity: a representation of differential cross-sections that is locally free of infrared singularities at any order , 2020, Journal of High Energy Physics.
[19] K. Yeats. Rearranging Dyson-Schwinger Equations , 2011 .
[20] Gudrun Heinrich,et al. Sector Decomposition , 2008, 0803.4177.
[21] D. Amati,et al. Dispersion Relation Methods in Strong Interactions , 1962 .
[22] D. Kreimer. Multi-valued Feynman Graphs and Scattering Theory , 2018, Texts & Monographs in Symbolic Computation.
[23] Karen Vogtmann,et al. On the bordification of Outer space , 2017, J. Lond. Math. Soc..
[24] T. Binoth,et al. Numerical evaluation of phase space integrals by sector decomposition , 2004 .
[25] L. Foissy. Multigraded Dyson–Schwinger systems , 2015, Journal of Mathematical Physics.
[27] Claudia Rella,et al. An Introduction to Motivic Feynman Integrals , 2020, Symmetry, Integrability and Geometry: Methods and Applications.
[28] M. Borinsky. Renormalized asymptotic enumeration of Feynman diagrams , 2017, 1703.00840.
[29] F. Brown. Notes on Motivic Periods , 2015, 1512.06410.
[30] A. Kolla. Angles , 2020, Encyclopedic Dictionary of Archaeology.
[31] C. Duhr,et al. Diagrammatic Coaction of Two-Loop Feynman Integrals , 2019, Proceedings of 14th International Symposium on Radiative Corrections — PoS(RADCOR2019).
[32] D. Kreimer,et al. Hopf algebras in renormalization theory: Locality and Dyson-Schwinger equations from Hochschild cohomology , 2005, hep-th/0506190.
[33] R. Kaufmann,et al. Three Hopf algebras from number theory, physics & topology, and their common background I: operadic & simplicial aspects , 2016, Communications in Number Theory and Physics.
[34] D. Kreimer,et al. Feynman amplitudes and Landau singularities for 1-loop graphs , 2010, 1007.0338.
[35] K. Vogtmann,et al. The Euler characteristic of Out($F_n$) , 2019, Commentarii Mathematici Helvetici.
[36] Li Jin-q,et al. Hopf algebras , 2019, Graduate Studies in Mathematics.
[37] Alain Connes,et al. Hopf Algebras, Renormalization and Noncommutative Geometry , 1998 .
[38] Joachim Kock,et al. Incidence Hopf algebras , 2011 .
[39] J. Gracey. Eight dimensional QCD at one loop , 2017, 1712.02565.
[40] Max E. Mühlbauer,et al. Moduli spaces of colored graphs , 2018, 1809.09954.
[41] Francis Brown,et al. Invariant Differential Forms on Complexes of Graphs and Feynman Integrals , 2021, Symmetry, Integrability and Geometry: Methods and Applications.
[42] Karen Yeats,et al. Subdivergence-free gluings of trees , 2021, 2106.07494.
[43] Alain Connes,et al. Renormalization in quantum field theory and the Riemann-Hilbert problem , 1999 .
[44] Benjamin C. Ward,et al. Feynman Categories , 2013, Astérisque.
[45] Dirk Kreimer,et al. On the Hopf algebra structure of perturbative quantum field theories , 1997 .
[46] K. Yeats,et al. The QCD beta-function from global solutions to Dyson-Schwinger equations , 2009, 0906.1754.
[47] Renormalization of Gauge Fields: A Hopf Algebra Approach , 2006, hep-th/0610137.
[48] David Prinz. Gauge Symmetries and Renormalization , 2019, Mathematical Physics, Analysis and Geometry.
[49] M. Borinsky. Graphs in perturbation theory , 2018, 1807.02046.
[50] Dominique Manchon,et al. Doubling bialgebras of finite topologies , 2021, Letters in Mathematical Physics.
[51] F. Patras,et al. Renormalization , 2021, Algebra and Applications.
[52] Danna Zhou,et al. d. , 1840, Microbial pathogenesis.
[53] D. Kreimer,et al. Recursive relations in the core Hopf algebra , 2009, 0903.2849.
[54] W. D. Suijlekom. Renormalization of gauge fields using Hopf algebras , 2008, 0801.3170.
[55] Ben Ruijl,et al. Loop-Tree Duality for Multiloop Numerical Integration. , 2019, Physical review letters.
[56] K. Yeats. A Combinatorial Perspective on Quantum Field Theory , 2016 .
[57] M. Peskin,et al. An Introduction To Quantum Field Theory , 1995 .
[58] Marko Berghoff. Feynman amplitudes on moduli spaces of graphs , 2017, Annales de l’Institut Henri Poincaré D.
[59] F. Patras,et al. Operads of (noncrossing) partitions, interacting bialgebras, and moment-cumulant relations , 2019, 1907.01190.
[60] Dirk Kreimer,et al. Outer Space as a Combinatorial Backbone for Cutkosky Rules and Coactions , 2020, Texts & Monographs in Symbolic Computation.
[61] R. Cutkosky. Singularities and Discontinuities of Feynman Amplitudes , 1960 .
[62] Paul-Hermann Balduf,et al. Propagator-cancelling scalar fields , 2021, 2102.04315.
[63] J. Gracey. Renormalization of scalar field theories in rational spacetime dimensions , 2017, The European Physical Journal C.
[64] D. Kreimer. The core Hopf algebra , 2009, 0902.1223.
[65] B. Ruijl,et al. Numerical Loop-Tree Duality: contour deformation and subtraction , 2019, 1912.09291.
[66] H. Kissler. Hopf-algebraic Renormalization of QED in the linear covariant Gauge , 2016, 1602.07003.
[67] Paul-Hermann Balduf. Perturbation Theory of Transformed Quantum Fields , 2019, Mathematical Physics, Analysis and Geometry.
[68] W. T. Tutte,et al. A Contribution to the Theory of Chromatic Polynomials , 1954, Canadian Journal of Mathematics.