Dissertation

• From zero-dimensional theories to inhomogeneous phases with the functional renormalization group
  Martin J. Steil
  PhD thesis, Technische Universität Darmstadt, 2024
  DOI: 10.26083/tuprints-00027380
  Repository: github.com/MJSteil/PhD-Thesis

Publications, Talks, and Poster

Publications

• Magnetized neutron stars: perturbative versus fully-numerical approaches
  Debarati Chatterjee, Daw Guttmann, Jérôme Novak, Micaela Oertel, and Martin Jakob Steil (May 19, 2026)
  Published in: Universe 2026, 12, 170
  e-Print: 2605.19761 [astro-ph.HE]

• Functional Renormalization Group flows as diffusive Hamilton-Jacobi-type equations
  Adrian Koenigstein, Martin J. Steil, and Stefan Floerchinger (Dec 29, 2025)
  e-Print: 2512.05973 [hep-th]

• Detecting inhomogeneous chiral condensation from the bosonic two-point function in the (1 + 1)-dimensional Gross–Neveu model in the mean-field approximation
  Adrian Koenigstein, Laurin Pannullo, Stefan Rechenberger, Martin J. Steil, and Marc Winstel (Dec 13, 2021)
  Published in: J.Phys.A 55 (2022) 37, 375402
  e-Print: 2112.07024 [hep-ph]

• Bosonic fluctuations in the (1+1)-dimensional Gross-Neveu(-Yukawa) model at varying μ and T and finite N
  Jonas Stoll, Niklas Zorbach, Adrian Koenigstein, and Martin J. Steil (Aug 24, 2021)
  e-Print: 2108.10616 [hep-ph]

• Numerical fluid dynamics for FRG flow equations: Zero-dimensional QFTs as numerical test cases. III. Shock and rarefaction waves in RG flows reveal limitations of the N→∞ limit in O(N)-type models
  Martin J. Steil and Adrian Koenigstein (Aug 9, 2021)
  Published in: Phys.Rev.D 106 (2022) 6, 065014
  e-Print: 2108.04037 [cond-mat.stat-mech]

• Numerical fluid dynamics for FRG flow equations: Zero-dimensional QFTs as numerical test cases. II. Entropy production and irreversibility of RG flows
  Adrian Koenigstein, Martin J. Steil, Nicolas Wink, Eduardo Grossi, and Jens Braun (Aug 23, 2021)
  Published in: Phys.Rev.D 106 (2022) 6, 065013
  e-Print: 2108.10085 [cond-mat.stat-mech]

• Numerical fluid dynamics for FRG flow equations: Zero-dimensional QFTs as numerical test cases. I. The O(N) model
  Adrian Koenigstein, Martin J. Steil, Nicolas Wink, Eduardo Grossi, Jens Braun, Michael Buballa, and Dirk H. Rischke (Aug 5, 2021)
  Published in: Phys.Rev.D 106 (2022) 6, 065012
  e-Print: 2108.02504 [cond-mat.stat-mech]

Talks

• Inhomogeneous chiral condensates within the Functional Renormalisation Group
  Talk at XXXII International (ONLINE) Workshop on High Energy Physics ”Hot problems of Strong Interactions”, Online (2020).

• Solving QFTs convection–diffusion equations with finite volume methods
  Joint talk with Adrian Koenigstein at Mini-Workshop ‘QCD & beyond with the FRG’, Heidelberg (2019).

Poster

• Numerical fluid dynamics for FRG flow equations: Zero-dimensional QFTs as numerical test cases
  Poster for QMBS workshop, Heidelberg (2021).

• Inhomogeneous chiral condensates in QCD-inspired models via the FRG
  Poster for SIFT workshop, Jena (2019).

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Martin Jakob Steil, 2026