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For the linear sigma model with quarks we derive renormalization group flow equations for finite temperature and finite baryon density using the heat kernel cutoff. At zero temperature we evolve the effective potential to the Fermi momentum…

Nuclear Theory · Physics 2009-10-31 J. Meyer , G. Papp , H. -J. Pirner , T. Kunihiro

We study renormalization group flows in far-from-equilibrium states. The study is made tractable by focusing on states that are spatially homogeneous, time-independent, and scale-invariant. Such states, in which mode $k$ has occupation…

High Energy Physics - Theory · Physics 2025-04-09 Vladimir Rosenhaus , Michael Smolkin

We analyze the renormalization group (RG) flow of the temperature independent term of the entropy in the high temperature limit \beta/a<<1 of a massive field theory in 3-dimensional spherical spaces M_3 with constant curvature 6/a^2. For…

High Energy Physics - Theory · Physics 2015-01-20 M. Asorey , C. G. Beneventano , I. Cavero-Peláez , D. D'Ascanio , E. M. Santangelo

Dynamic renormalization group (RG) of fluctuating viscoelastic equations is investigated to clarify the cause for numerically reported disappearance of anomalous heat conduction (recovery of Fourier's law) in low-dimensional…

Statistical Mechanics · Physics 2020-08-12 Dye SK Sato

We introduce RGFlow, a deep neural network-based real-space renormalization group (RG) framework tailored for continuum scalar field theories. Leveraging generative capabilities of flow-based neural networks, RGFlow autonomously learns…

Disordered Systems and Neural Networks · Physics 2026-04-29 Yueqi Zhao , Michael M. Fogler , Yi-Zhuang You

A nonconventional renormalization-group (RG) treatment close to and below four dimensions is used to explore, in a unified and systematic way, the low-temperature properties of a wide class of systems in the influence domain of their…

Statistical Mechanics · Physics 2009-11-13 M. T. Mercaldo , L. De Cesare , I. Rabuffo , A. Caramico D'Auria

These lectures contain an introduction to modern renormalization group (RG) methods as well as functional RG approaches to gauge theories. In the first lecture, the functional renormalization group is introduced with a focus on the flow…

High Energy Physics - Phenomenology · Physics 2015-06-25 Holger Gies

We study the optimisation of exact renormalisation group (ERG) flows. We explain why the convergence of approximate solutions towards the physical theory is optimised by appropriate choices of the regularisation. We consider specific…

High Energy Physics - Theory · Physics 2009-11-07 Daniel F. Litim

It is demonstrated that the renormalization group (RG) flows of depinning transitions do not depend on whether the driving force or the system velocity is kept constant. This allows for a comparison between RG results and corresponding…

Condensed Matter · Physics 2009-10-31 Onuttom Narayan

We construct exact functional renormalization group (RG) flow equations for non-relativistic fermions in arbitrary dimensions, taking into account not only mode elimination but also the rescaling of the momenta, frequencies and the…

Strongly Correlated Electrons · Physics 2009-11-07 Peter Kopietz , Tom Busche

We consider the Hamiltonian renormalisation group flow of discretised one-dimensional physical theories. In particular, we investigate the influence the choice of different embedding maps has on the RG flow and the resulting continuum…

General Relativity and Quantum Cosmology · Physics 2023-05-05 Benjamin Bahr , Klaus Liegener

We consider the approach describing glass formation in liquids as a progressive trapping in an exponentially large number of metastable states. To go beyond the mean-field setting, we provide a real-space renormalization group (RG) analysis…

Disordered Systems and Neural Networks · Physics 2012-03-15 Chiara Cammarota , Giulio Biroli , Marco Tarzia , Gilles Tarjus

We investigate the phase structure of the (1+1)-dimensional U(1) gauge-Higgs model with a $\theta$ term, where the U(1) gauge action is constructed with L\"uscher's admissibility condition. Using the tensor renormalization group, both the…

High Energy Physics - Lattice · Physics 2024-09-23 Shinichiro Akiyama , Yoshinobu Kuramashi

We extend the Wilson renormalization group (RG) to supersymmetric theories. As this regularization scheme preserves supersymmetry, we exploit the superspace technique. To set up the formalism we first derive the RG flow for the massless…

High Energy Physics - Theory · Physics 2009-10-31 M. Bonini , F. Vian

The choice of generator in the Similarity Renormalization Group (SRG) flow equation determines the evolution pattern of the Hamiltonian. The kinetic energy has been used in the generator for most prior applications to nuclear interactions,…

Nuclear Theory · Physics 2012-05-09 W. Li , E. R. Anderson , R. J. Furnstahl

We consider the renormalization group(RG) improved inflaton potential in unitarized Higgs inflation where the original Higgs inflation is unitarized by the addition of a real singlet scalar of sigma-model type. The sigma field coupling to…

High Energy Physics - Phenomenology · Physics 2015-06-12 Hyun Min Lee

A defining feature of a symmetry protected topological phase (SPT) in one-dimension is the degeneracy of the Schmidt values for any given bipartition. For the system to go through a topological phase transition separating two SPTs, the…

Strongly Correlated Electrons · Physics 2018-05-02 Evert P. L. van Nieuwenburg , Andreas P. Schnyder , Wei Chen

We investigate the second-order R\'enyi entanglement entropy at the quantum critical point of a spin-1/2 antiferromagnetic Heisenberg model on a columnar dimerized square lattice. The universal constant $\gamma$ in the area-law scaling…

Statistical Mechanics · Physics 2026-05-07 Zhiyan Wang , Zhe Wang , Yi-Ming Ding , Zenan Liu , Zheng Yan , Long Zhang

Basing on new regularization-renormalization method, the $\lambda\phi^4$ model used in standard model is studied both perturbatively and nonperturbatively (by Gaussian effective potential). The invariant property of two mass scales is…

High Energy Physics - Phenomenology · Physics 2015-06-25 G. -j. Ni , S. -y Lou , W. -f Lu , J. -f Yang

In the ``Type-II'' regime, $m_{\rm Higgs}\gap m_{\rm gauge}$, the finite-temperature phase transition in spontaneously-broken gauge theories (including the standard model) must be be studied using a renormalization group treatment. Previous…

High Energy Physics - Phenomenology · Physics 2009-10-22 John March-Russell
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