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Humboldt-Universität zu Berlin - Mathematisch-Naturwissen­schaft­liche Fakultät - Phenomenology of Elementary Particle Physics beyond the Standard Model

References Mathematical Aspects of QFT

[DK1] On the Hopf algebra structure of perturbative quantum field theories
Dirk Kreimer (Mainz U., Inst. Phys.). Jul 1997. 16 pp.
Published in Adv.Theor.Math.Phys. 2 (1998) 303-334

[DK2] Angles, Scales and Parametric Renormalization
Francis Brown, Dirk Kreimer (Unlisted). Dec 2011. 58 pp.
Published in Lett.Math.Phys. 103 (2013) 933-1007

[DK3] The QCD beta-function from global solutions to Dyson-Schwinger equations
Guillaume van Baalen (Boston U.), Dirk Kreimer (IHES, Bures-sur-Yvette & Boston U.), David Uminsky, Karen Yeats (Boston U.). Jun 2009. 34 pp.
Published in Annals Phys. 325 (2010) 300-324

[DK4] Renormalization in quantum field theory and the Riemann-Hilbert problem. 2. The beta function, diffeomorphisms and the renormalization group
Alain Connes, Dirk Kreimer (IHES, Bures-sur-Yvette). Mar 2000. 35 pp.
Published in Commun.Math.Phys. 216 (2001) 215-241

[DK5] On Motives associated to graph polynomials
Spencer Bloch (Chicago U., Dept. Math.), Helene Esnault (Essen U.), Dirk Kreimer (IHES, Bures-sur-Yvette). Sep 2005. 45 pp.
Published in Commun.Math.Phys. 267 (2006) 181-225

[DK7] Quantization of gauge fields, graph polynomials and graph homology
Dirk Kreimer, Matthias Sars, Walter D. van Suijlekom (Humboldt U., Berlin & Nijmegen U.). Aug 2012. 43 pp.
Published in Annals Phys. 336 (2013) 180-222

[DK8] Diagrammatic Cancellations and the Gauge Dependence of QED
Henry Kißler (Liverpool U., Dept. Math. & Humboldt U., Berlin, Inst. Math.), Dirk Kreimer (Humboldt U., Berlin, Inst. Math.). Jul 19, 2016. 4 pp. Published in Phys.Lett. B764 (2017) 318-321

 

1. Doubled α'-geometry
Olaf Hohm (Munich U., ASC), Warren Siegel (YITP, Stony Brook), Barton Zwiebach (MIT, Cambridge, CTP). Jun 12, 2013. 56 pp.
Published in JHEP 1402 (2014) 065

2. Background Independence and Duality Invariance in String Theory
Olaf Hohm (Stony Brook U., New York, SCGP). Dec 12, 2016. 5 pp.
Published in Phys.Rev.Lett. 118 (2017) no.13, 131601

3. L Algebras and Field Theory
Olaf Hohm (SUNY, Stony Brook, Math.), Barton Zwiebach (MIT, Cambridge, CTP). Jan 30, 2017. 54 pp.
Published in Fortsch.Phys. 65 (2017) no.3-4, 1700014

4. Non-perturbative de Sitter vacua via α' corrections
Olaf Hohm (Humboldt U., Berlin), Barton Zwiebach (MIT). May 16, 2019. 7 pp.