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We apply the functional Renormalisation Group (fRG) to study relaxation in a stochastic process governed by an overdamped Langevin equation with one degree of freedom, exploiting the connection with supersymmetric quantum mechanics in…

统计力学 · 物理学 2023-06-06 Ashley Wilkins , Gerasimos Rigopoulos , Enrico Masoero

An important problem in many-body physics is to reconstruct the spectral density from the imaginary-time domain Green's function. Typically, the imaginary-time Green's function is generated by Monte Carlo methods. As the one-point fermionic…

强关联电子 · 物理学 2026-02-24 Fakher Assaad , Johanna Erdmenger , Anika Götz , René Meyer , Martin Rackl , Yanick Thurn

Exact many-body quantum problems are known to be computationally hard due to the exponential scaling of the numerical resources required. Since the advent of the Density Matrix Renormalization Group, it became clear that a successful…

量子物理 · 物理学 2012-05-21 Pietro Silvi

We revisit Fradkin and Raby's real-space renormalization-group method to study the quantum Z_2 gauge theory defined on links forming a two-dimensional square lattice. Following an old suggestion of theirs, a systematic perturbation…

统计力学 · 物理学 2021-02-02 Steve T. Paik

In this work, we introduce a new approach for constructing a renormalized and regularized Fock matrix for self-consistent field calculations. The scheme relies on second-order perturbation theory and is conceptually related to quasiparticle…

化学物理 · 物理学 2026-01-06 Joshua Krieger , Johannes Tölle

We study a gauge-invariant renormalization scheme (GIRS) for composite operators, regularized on the lattice, by extending the coordinate space (X-space) scheme proposed some years ago. In this scheme, Green's functions of products of…

高能物理 - 格点 · 物理学 2021-11-09 G. Spanoudes , M. Costa , I. Karpasitis , T. Pafitis , G. Panagopoulos , H. Panagopoulos , A. Skouroupathis

We present a functional renormalization group (fRG) study of the two dimensional Hubbard model, performed with an algorithmic implementation which lifts some of the common approximations made in fRG calculations. In particular, in our fRG…

In nuclear matter, for interparticle separations larger than the healing distance (a characteristic long-distance scale of finite-density fermionic systems), the in-medium two-body wave function is essentially a free wave function. In terms…

核理论 · 物理学 2026-03-23 Manuel Pavon Valderrama

The exact renormalization group approach (ERG) is developed for the case of pure fermionic theories by deriving a Grassmann version of the ERG equation and applying it to the study of fixed point solutions and critical exponents of the…

高能物理 - 理论 · 物理学 2009-10-28 Jordi Comellas , Yuri Kubyshin , Enrique Moreno

We study a pseudogap region of the mixed boson fermion system using a recent formulation of the renormalization group technique through the set of infinitesimal unitary transformations. Renormalization of fermion energies gives rise to a…

超导电性 · 物理学 2016-08-31 T. Domanski , J. Ranninger

The use of the equations of motion and meson field redefinitions allows the development of a simplified resonance chiral theory lagrangian: terms including resonance fields and a large number of derivatives can be reduced into corresponding…

高能物理 - 唯象学 · 物理学 2010-04-28 J. J. Sanz-Cillero

Applications of the similarity renormalization group (SRG) approach [F. Wegner, Ann. Phys. 506, 77 (1994), S. D. G{\l}azek and K. G. Wilson, Phys. Rev. D 49, 4214 (1994)] to the formulation of useful many-body theories of electron…

化学物理 · 物理学 2015-06-19 Francesco A. Evangelista

We study the distorted wave renormalisation group (DWRG), a tool for constructing power-counting schemes in systems where some diagrams must be summed to all orders. We solve the DWRG eqaution for a variety of long-range potentials…

核理论 · 物理学 2007-05-23 T. Barford

We develop a novel real-space renormalization group (RG) scheme which accurately estimates correlation length exponent $\nu$ near criticality of higher-dimensional quantum Ising and Potts models in a transverse field. Our method is…

统计力学 · 物理学 2014-02-05 Aleksander Kubica , Beni Yoshida

We introduce the spectrum bifurcation renormalization group (SBRG) as a generalization of the real-space renormalization group for the many-body localized (MBL) system without truncating the Hilbert space. Starting from a disordered…

强关联电子 · 物理学 2016-04-06 Yi-Zhuang You , Xiao-Liang Qi , Cenke Xu

Inspired by their success in solving challenging inverse problems in computer vision, implicit neural representations (INRs) have been recently proposed for reconstruction in low-dose/sparse-view X-ray computed tomography (CT). An INR…

图像与视频处理 · 电气工程与系统科学 2025-04-21 Mahrokh Najaf , Gregory Ongie

The functional renormalization group (fRG) approach has the property that, in general, the flow equation for the two-particle vertex generates $\mathcal{O}(N^4)$ independent variables, where $N$ is the number of interacting states (e.g.…

强关联电子 · 物理学 2014-01-24 Florian Bauer , Jan Heyder , Jan von Delft

By exploiting the analyticity and boundary value properties of the thermal Green functions that result from the KMS condition in both time and energy complex variables, we treat the general (non-perturbative) problem of recovering the…

强关联电子 · 物理学 2007-05-23 G. Cuniberti , E. De Micheli , G. A. Viano

We present a reformulation of the functional renormalization group (fRG) for many-electron systems, which relies on the recently introduced single boson exchange (SBE) representation of the parquet equations [Phys. Rev. B 100, 155149…

We study the Gluino-Glue operator in the context of Supersymmetric ${\cal N}{=}1$ Yang-Mills (SYM) theory. This composite operator is gauge invariant, and it is directly connected to light bound states of the theory; its renormalization is…

高能物理 - 格点 · 物理学 2021-04-13 Marios Costa , George Panagopoulos , Haralambos Panagopoulos , Gregoris Spanoudes