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We study theoretically the quantum critical phenomenon of the phase transition between the trivial insulator and the topological insulator in (3+1) dimensions, which is described by a Dirac fermion coupled to the electromagnetic field. The…

Mesoscale and Nanoscale Physics · Physics 2012-11-01 Hiroki Isobe , Naoto Nagaosa

The dynamic surface critical behavior of macroscopic systems whose dynamic bulk critical behavior is described by model $B$ is investigated. The semi-infinite extensions of bulk model $B$ introduced in a previous treatment [Phys. Rev. B 49,…

Condensed Matter · Physics 2009-10-22 F. Wichmann , H. W. Diehl

We present a renormalization group (RG) method which allows for an analytical study of the transient dynamics of open quantum systems on all time scales. Whereas oscillation frequencies and decay rates of exponential time evolution follow…

Strongly Correlated Electrons · Physics 2013-05-23 Oleksiy Kashuba , Herbert Schoeller

We investigate the holographic renormalization group flows and the classical phase transitions that occur in two dimensional QFT model dual to the New Massive 3D Gravity coupled to scalar matter. Specific matter self-interactions generated…

High Energy Physics - Theory · Physics 2013-03-05 U. Camara dS , C. P. Constantinidis , G. M. Sotkov

Quenched disorder - in the sense of the Harris criterion - is generally a relevant perturbation at an absorbing state phase transition point. Here using a strong disorder renormalization group framework and effective numerical methods we…

Statistical Mechanics · Physics 2009-11-10 Jef Hooyberghs , Ferenc Igloi , Carlo Vanderzande

Critical behaviour of the O(n)-symmetric $\phi^{4}$-model with an antisymmetric tensor order parameter is studied by means of the field-theoretic renormalization group (RG) in the leading order of the $\varepsilon=4-d$-expansion (one-loop…

Statistical Mechanics · Physics 2013-10-01 N. V. Antonov , M. V. Kompaniets , N. M. Lebedev

The field theoretic renormalization group (RG) is applied to the model of a near-equilibrium fluid coupled to a scalar field (like temperature or density of an impurity) which is active, that is, influencing the dynamics of the fluid…

Statistical Mechanics · Physics 2021-09-15 N. V. Antonov , M. M. Kostenko

A heavy quark moving through a strongly coupled deconfined plasma has a holographic dual description as a string moving in a black brane geometry. We apply the holographic Wilsonian renormalization method to derive a holographic effective…

High Energy Physics - Theory · Physics 2020-12-02 Diego Gutiez , Carlos Hoyos

We introduce a universal criterion for criticality in mean-field rotor Hamiltonians based on the geometric structure of the constant-energy shell. Rather than characterizing the onset of a phase transition through the conventional…

Statistical Mechanics · Physics 2026-04-01 Loris Di Cairano

We study the singularity of the order parameter at the transition between a critical phase and an ordered phase of bond percolation on pointed hierarchical graphs. In pointed hierarchical graphs, the renormalization group (RG) equation…

Statistical Mechanics · Physics 2018-12-21 Tomoaki Nogawa

If there is a dS/CFT correspondence, time evolution in the bulk should translate to RG flows in the dual euclidean field theory. Consequently, although the dual field is expected to be non-unitary, its RG flows will carry an imprint of the…

High Energy Physics - Theory · Physics 2015-06-16 Diptarka Das , Sumit R. Das , Gautam Mandal

We study the nearly critical behaviour of holographic superfluids at finite temperature and chemical potential in their probe limit. This allows us to examine the coupled dynamics of the full complex order parameter with the charge density…

High Energy Physics - Theory · Physics 2022-12-21 Aristomenis Donos , Polydoros Kailidis

A general analysis of line defect renormalisation group (RG) flows in the $\varepsilon$ expansion below $d=4$ dimensions is undertaken. The defect beta function for general scalar-fermion bulk theories is computed to next-to-leading order…

High Energy Physics - Theory · Physics 2023-07-26 William H. Pannell , Andreas Stergiou

The Multiscale Entanglement Renormalization Ansatz (MERA) is a tensor network based variational ansatz that is capable of capturing many of the key physical properties of strongly correlated ground states such as criticality and topological…

Strongly Correlated Electrons · Physics 2017-05-31 Victor Chua , Vasilios Passias , Apoorv Tiwari , Shinsei Ryu

We investigate the monotonicity of the renormalization group (RG) flow from the perspectives of nonequilibrium thermodynamics. Applying the Martin-Siggia-Rose formalism to the Wilsonian RG transformation, we incorporate the RG flow…

High Energy Physics - Theory · Physics 2023-12-29 Ki-Seok Kim , Shinsei Ryu

The critical behavior of the three-dimensional $N$-vector chiral model is studied for arbitrary $N$. The known six-loop renormalization-group (RG) expansions are resummed using the Borel transformation combined with the conformal mapping…

Statistical Mechanics · Physics 2009-11-10 P. Calabrese , P. Parruccini , A. I. Sokolov

Quantum many-body problem with exponentially large degrees of freedom can be reduced to a tractable computational form by neural network method \cite{CT}. The power of deep neural network (DNN) based on deep learning is clarified by mapping…

General Relativity and Quantum Cosmology · Physics 2017-11-22 Wen-Cong Gan , Fu-Wen Shu

In the context of Wilsonian Renormalization, renormalization group (RG) flows are a set of differential equations that defines how the coupling constants of a theory depend on an energy scale. These equations closely resemble…

High Energy Physics - Theory · Physics 2021-06-18 Caio Luiz Tiedt

We propose a local renormalization group procedure where length scale is changed in spacetime dependent way. Combining this scheme with an earlier observation that high energy modes in renormalization group play the role of dynamical…

High Energy Physics - Theory · Physics 2012-11-02 Sung-Sik Lee

We study how symmetry can enrich strong-randomness quantum critical points and phases, and lead to robust topological edge modes coexisting with critical bulk fluctuations. These are the disordered analogues of gapless topological phases.…

Strongly Correlated Electrons · Physics 2021-04-02 Carlos M. Duque , Hong-Ye Hu , Yi-Zhuang You , Vedika Khemani , Ruben Verresen , Romain Vasseur