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Classical analog of the T. D. Lee model for renormalization
K. Xu, C. P. Sun
https://arxiv.org/abs/2506.15161 https://arxiv.org/pdf/2…

Classical analog of the T. D. Lee model for renormalization
While divergence and renormalization of physical quantities are frequently encountered in quantum field theory (QFT), they are not necessarily quantum-specific characteristics. We show in this paper that there exists a classical counterpart of the Lee model which is the model of coupled harmonic oscillators (CHO). It is demonstrated that the frequency divergence in this classical model precisely replicates the phenomenon of mass divergence in the Lee model, as does the corresponding renormaliza…

Topological Stars and scalar wave equation: Exact resummation of the renormalized angular momentum in the eikonal limit
Donato Bini, Giorgio Di Russo
https://arxiv.org/abs/2506.14442

Topological Stars and scalar wave equation: Exact resummation of the renormalized angular momentum in the eikonal limit
We show that for a Topological Star the renormalized angular momentum parameter, $ν$, appearing in the Mano-Suzuki-Takasugi-type or in the quantum-Seiberg-Witten-type approaches of the perturbation equations, has 1) a direct link with the geodesic radial action computed along the null orbits of the background and 2) admits an exact resummation in terms of hypergeometric functions, generalizing previous results valid in the Schwarzschild case, see Ref.[arXiv:2504.07862 [hep-th]].

The phenomenological renormalization group in neuronal models near criticality
Kaio F. R. Nascimento, Daniel M. Castro, Gustavo G. Cambrainha, Mauro Copelli
https://arxiv.org/abs/2506.14053

The phenomenological renormalization group in neuronal models near criticality
The phenomenological renormalization group (PRG) has been applied to the study of scaleinvariant phenomena in neuronal data, providing evidence for critical phenomena in the brain. However, it remains unclear how reliably these observed signatures indicate genuine critical behavior, as it is not well established how close to criticality a system must be for them to emerge. Here, we rely on neuronal models with known critical points to investigate under which conditions the PRG procedure yields …

On the Renormalization Group flow of distributions
Astrid Eichhorn, Aaron Held
https://arxiv.org/abs/2506.12548 https://arxiv.org/pdf…

On the Renormalization Group flow of distributions
Renormalization Group flows relate the values of couplings at different scales. Here, we go beyond the Renormalization Group flow of individual trajectories and derive an evolution equation for a distribution on the space of couplings. This shift in perspective can provide new insights, even in theories for which the Renormalization Group flow of individual couplings is well understood. As a first application, we propagate errors under the Renormalization Group flow. Characteristic properties o…

Four-Loop Renormalisation of Chiral Gauge Theories with Non-Anticommuting $\gamma_5$ in the BMHV Scheme
Andreas von Manteuffel, Dominik St\"ockinger, Matthias Wei{\ss}wange
https://arxiv.org/abs/2506.12253

Four-Loop Renormalisation of Chiral Gauge Theories with Non-Anticommuting $γ_5$ in the BMHV Scheme
We present the complete 4-loop renormalisation of an Abelian chiral gauge theory in the Breitenlohner-Maison / `t Hooft-Veltman (BMHV) scheme. Employing a non-anticommuting $γ_5$ in dimensional regularisation, we determine the full set of symmetry restoring counterterms from the quantum action principle. Our calculation represents the highest-order application of the BMHV framework so far, pushing the limits of a self-consistent treatment of $γ_5$ at the multi-loop level. We describe the comp…

The Volume-Renormalized Mass from a Hamiltonian Perspective
Mattias Dahl, Klaus Kroencke, Stephen McCormick
https://arxiv.org/abs/2506.11841 https://

The Volume-Renormalized Mass from a Hamiltonian Perspective
We demonstrate that the volume-renormalized mass for asymptotically hyperbolic manifolds recently introduced by the authors can be deduced from a reduced Hamiltonian perspective. In order to do this, we first use Michel's formalism of mass invariants to extend the definition of the volume-renormalized mass to initial data sets. We consider spacetimes that are foliated by asymptotically Poincaré--Einstein Riemannian manifolds in the spirit of the Milne model of cosmology and reduce the ADM Ha…

Exact Renormalization Relation and Binding Energies for Three Identical Bosons
Langxuan Chen, Pengfei Zhang
https://arxiv.org/abs/2506.12531 https://

Exact Renormalization Relation and Binding Energies for Three Identical Bosons
In the low-energy limit, non-relativistic particles with short-range interactions exhibit universal behavior that is largely independent of microscopic details. This universality is typically described by effective field theory, in which the two-body interaction is renormalized to a single parameter-the scattering length. For systems of identical bosons, the three-body problem reveals the Efimov effect, a novel phenomenon proposed that necessitates the introduction of an additional three-body p…

Multireference equation-of-motion driven similarity renormalization group: theoretical foundations and applications to ionized states
Zijun Zhao, Shuhang Li, Francesco A. Evangelista
https://arxiv.org/abs/2506.13693

Multireference equation-of-motion driven similarity renormalization group: theoretical foundations and applications to ionized states
We present a formulation and implementation of an equation-of-motion (EOM) extension of the multireference driven similarity renormalization group (MR-DSRG) formalism for ionization potentials (IP-EOM-DSRG). The IP-EOM-DSRG formalism results in a Hermitian generalized eigenvalue problem, delivering accurate ionization potentials for systems with strongly correlated ground and excited states. The EOM step scales as $O(N^5)$ with the basis set size $N$, allowing for efficient calculation of spect…

The Software Landscape for the Density Matrix Renormalization Group
Per Sehlstedt, Jan Brandejs, Paolo Bientinesi, Lars Karlsson
https://arxiv.org/abs/2506.12629

The Software Landscape for the Density Matrix Renormalization Group
The density matrix renormalization group (DMRG) algorithm is a cornerstone computational method for studying quantum many-body systems, renowned for its accuracy and adaptability. Despite DMRG's broad applicability across fields such as materials science, quantum chemistry, and quantum computing, numerous independent implementations have been developed. This survey maps the rapidly expanding DMRG software landscape, providing a comprehensive comparison of features among 35 existing packages. We…

Computing and compressing local vertex functions in imaginary and real frequencies from the multipoint numerical renormalization group using quantics tensor cross interpolation
Markus Frankenbach, Marc Ritter, Mathias Pelz, Nepomuk Ritz, Jan von Delft, Anxiang Ge
https://arxiv.org/abs/2506.13359

Computing and compressing local vertex functions in imaginary and real frequencies from the multipoint numerical renormalization group using quantics tensor cross interpolation
The multipoint numerical renormalization group (mpNRG) is a powerful impurity solver that provides accurate spectral data useful for computing local, dynamic correlation functions in imaginary or real frequencies non-perturbatively across a wide range of interactions and temperatures. It gives access to a local, non-perturbative four-point vertex in imaginary and real frequencies, which can be used as input for subsequent computations such as diagrammatic extensions of dynamical mean--field the…