Manfred Salmhofer:
Research and Related

Major group grants

Speaker of the Excellence Cluster


(since 2019)

Speaker of DFG-Forschergruppe FOR 723: Functional Renormalization Group for Correlated Fermion Systems (2007-2016)

Principal Investigator within DFG-Sonderforschungsbereich
(since 2016)

Principal Investigator of the
Heidelberg Graduate School for Fundamental Physics
(Excellence Initiative II, 2012-2019)

Principal Investigator of DFG-Forschergruppe
FOR 718: Analysis and Stochastics in Complex Physical Systems

Selected Writings

My book Renormalization (Springer, 1998) contains an introduction to renormalization and perturbative renormalizability proofs for scalar field theories and many-fermion models.

Research Articles

Manfred Salmhofer, Erhard Seiler
Proof of Chiral Symmetry Breaking in Strongly Coupled Lattice Gauge Theory
Commun. Math. Phys. 139 (1991) 395-432

Georg Keller, Christoph Kopper, Manfred Salmhofer
Perturbative Renormalization and Effective Lagrangians in Phi^4_4
Helv. Phys. Acta 65 (1992) 32-52

J.Feldman, M. Salmhofer, E.Trubowitz
Perturbation Theory around Non-nested Fermi Surfaces I. Keeping the Fermi Surface Fixed
J.Stat.Phys. 84 (1996) 1209-1336

J.Feldman, M. Salmhofer, E.Trubowitz
Regularity of the Moving Fermi Surface: The Full Selfenergy
Comm. Pure Appl. Math. 52 (1999) 273-324

M. Salmhofer
Continuous renormalization for fermions and Fermi liquid theory
Comm. Math. Phys. 194 (1998) 249-295

N.Furukawa, T.M.Rice, M. Salmhofer
Truncation of a 2-dimensional Fermi surface due to quasiparticle gap formation at the saddle points
Phys. Rev. Lett. 81 (1998) 3195-3198

M. Salmhofer, C. Wieczerkowski
Positivity and Convergence in Fermionic Quantum Field Theory
J.Stat.Phys. 99 (2000) 557-586

J.Feldman, M. Salmhofer, E.Trubowitz
An Inversion Theorem in Fermi Surface Theory
Comm. Pure Appl. Math. 53 (2000) 1350-1384

C. Honerkamp, M. Salmhofer, N.Furukawa, T.M.Rice
Breakdown of the Landau-Fermi liquid in Two Dimensions due to Umklapp Scattering
Phys. Rev. B 63 (2001) 035109

M. Salmhofer, C. Honerkamp
Fermionic renormalization group flows - Technique and Theory
Prog. Theor. Phys. 105 (2001) 1

C. Honerkamp, M. Salmhofer
The magnetic and superconducting instabilities of the Hubbard model at the van Hove filling
Phys.Rev.Lett. 87 (2001) 187004

C. Honerkamp, M. Salmhofer
The Temperature-Flow Renormalization Group and the Competition between Ferromagnetism and Superconductivity
Phys. Rev. B 64 (2001) 184516

C. Landim, J. Quastel, M. Salmhofer, H.T. Yau
Superdiffusivity of asymmetric exclusion processes in dimensions one and two
Comm. Math. Phys. 244, No. 3 (2004) 455-481

L. Erdös, M. Salmhofer, H.-T. Yau
On the Quantum Boltzmann Equation
J. Stat. Phys. 116 (2004) 367-380

M. Salmhofer, C. Honerkamp, W. Metzner, O. Lauscher
Renormalization Group Flows into Phases with Broken Symmetry
Prog. Theor. Phys. 112 (2004) 943-970

L. Erdös, M. Salmhofer, H.-T. Yau,
Quantum diffusion of the random Schrödinger evolution in the scaling limit I. The non-recollision diagrams.
math-ph/0512014, Acta Mathematica 200 (2008) 211-277

M. Salmhofer
Dynamical Adjustment of Propagators in Renormalization Group Flows
Ann. Phys. (Leipzig) 16, No. 3 (2007) 171-206

J. Feldman, M. Salmhofer
Singular Fermi Surfaces II. The Two-Dimensional Case
arXiv:0706.1788v1 [math-ph]
Rev. Math. Phys. 20, No. 3 (2008) 275 - 334

W. Pedra, M. Salmhofer
Determinant Bounds and the Matsubara UV Problem of Many-Fermion Systems
July 4, 2007 arXiv:0707.2810v1 [math-ph]
Commun. Math. Phys. 282 (2008) 797-818

C. Husemann, M. Salmhofer
Efficient Parametrization of the Vertex Function, Omega-Scheme, and the (t,t')-Hubbard Model at Van Hove Filling
arXiv 0812.3824 , Phys. Rev. B 79, 195125 (2009)

K-U. Giering, M. Salmhofer
Self-energy flows in the two-dimensional repulsive Hubbard model
arXiv 1208.6131 , Phys. Rev. B 86 (2012) 245122 (Editor's Suggestion)

Wojciech de Roeck, Manfred Salmhofer
Persistence of exponential decay and spectral gaps for interacting fermions
Comm. Math. Phys. 365 (2019) 773-796

Felix Draxler, Kambis Veschgini, Manfred Salmhofer, Fred A. Hamprecht
Essentially No Barriers in Neural Network Energy Landscape
Proceedings of the 35th International Conference on Machine Learning (ICML18), PMLR 80:1308-1317, 2018

Refereed Proceedings and Review Articles

M. Salmhofer
Renormalization: Statistical Mechanics and Condensed Matter
Encyclopedia of Mathematical Physics,
eds. J.-P. Francoise, G.L. Naber and Tsou S.T.
Oxford: Elsevier, 2006 (ISBN 978-0-1251-2666-3), volume 4, page 407-414.

L. Erdös, M. Salmhofer, H.-T. Yau,
Feynman graphs and renormalization in quantum diffusion
pp 167-182 in the book
Quantum Field Theory and Beyond: Essays in Honour of Wolfhart Zimmermann
Proceedings of the symposium in honour of Wolfhart Zimmermann's 80th birthday (Schloss Ringberg, February 3-6, 2008) World Scientific, 2008
editors: Erhard Seiler and Klaus Sibold
ISBN 13 978-981-283354-9

W. Metzner, M. Salmhofer, C. Honerkamp, V. Meden, K. Schöhammer
Functional renormalization group approach to correlated fermion systems
arXiv 1105.5289 , Rev. Mod. Phys. 84 (2012) 299

Manfred Salmhofer
Renormalization in Condensed Matter: Fermionic Systems - from Mathematics to Materials
Memorial volume dedicated to Wolfhart Zimmermann, Nucl. Phys. B (2018)

For the Public

M. Salmhofer
Ludwig Boltzmann
Contribution to the volume Jubiläen 2006 , published by the University of Leipzig
January, 2006

M. Salmhofer
Physik und Mathematik
Poster contributed to the Exhibition Mathematik und Kultur in Leipzig
June, 2008

Never Submitted to the arXiv or a Journal

M. Salmhofer
Perturbative Renormalizability of phi^3_6 by Renormalization Group Differential Equations
Proceedings of the 2002 Hesselberg workshop
Theory of Renormalization and Regularization

Selected Talks

coming up soon

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