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This contribution will be published in '50 years of the renormalization group', dedicated to the memory of Michael E. Fisher, edited by Amnon Aharony, Ora Entin-Wohlman, David Huse, and Leo Radzihovsky, World Scientific. These personal…

Statistical Mechanics · Physics 2023-06-02 David R. Nelson

This paper will be published in ``50 years of the renormalization group", dedicated to the memory of Michael E. Fisher, edited by Amnon Aharony, Ora Entin-Wohlman, David Huse, and Leo Radzihovsky, World Scientific. I start with a review of…

Statistical Mechanics · Physics 2023-07-10 Amnon Aharony

These lecture notes provide an overview of the renormalization group (RG) as a successful framework to understand critical phenomena above the upper critical dimension $d_{\rm uc}$. After an introduction to the scaling picture of continuous…

Statistical Mechanics · Physics 2022-08-17 Bertrand Berche , Tim Ellis , Yurij Holovatch , Ralph Kenna

Critical transition points between symmetry-broken phases are characterized as fixed points in the renormalization group (RG) theory. We show that, following the standard Wilsonian procedure that traces out the large momentum modes, this…

Strongly Correlated Electrons · Physics 2020-11-18 Boran Zhou , Rui Wang , Baigeng Wang

New critical behavior in unconventional superconductors and superfluids is established and described by the Wilson-Fisher renormalization-group method. For certain ordering symmetries a new type of fluctuation-driven first order phase…

Superconductivity · Physics 2016-08-31 Dimo I. Uzunov

The remarkable technical contributions of Michael E. Fisher to statistical physics and the development of the renormalization group are widely known and deeply influential. But less well-known is his early and profound appreciation of the…

Statistical Mechanics · Physics 2023-06-12 Nigel Goldenfeld

We introduce a strong-disorder renormalization group (RG) approach suitable for investigating the quasiparticle excitations of disordered superconductors in which the quasiparticle spin is not conserved. We analyze one-dimensional models…

Superconductivity · Physics 2009-10-31 Olexei Motrunich , Kedar Damle , David A. Huse

In this thesis we investigate the Renormalization Group (RG) approach in finite-dimensional glassy systems, whose critical features are still not well-established, or simply unknown. We focus on spin and structural-glass models built on…

Disordered Systems and Neural Networks · Physics 2015-04-02 Michele Castellana

This is a very brief review article, written for a book (in preparation) in memory of Michael E. Fisher and to celebrate 50+ years since the Wilson-Fisher renormalization group. Strong-randomness renormalization groups were first developed…

Statistical Mechanics · Physics 2024-08-07 David A. Huse

These notes provide a concise introduction to important applications of the renormalization group (RG) in statistical physics. After reviewing the scaling approach and Ginzburg-Landau theory for critical phenomena, Wilson's momentum shell…

Statistical Mechanics · Physics 2015-03-19 Uwe C. Tauber

The Schwinger-Keldysh functional renormalization group (fRG) developed in [1] is employed to investigate critical dynamics related to a second-order phase transition. The effective action of model A is expanded to the order of…

High Energy Physics - Phenomenology · Physics 2023-12-12 Yong-rui Chen , Yang-yang Tan , Wei-jie Fu

In the framework of the renormalization-group (RG) approach, critical phenomena can be investigated by studying the RG flow of multi-parameter $\Phi^4$ field theories with an $N$-component fundamental field, containing up to 4th-order…

High Energy Physics - Lattice · Physics 2009-04-14 Ettore Vicari

Continuous phase transitions in equilibrium statistical mechanics were successfully described 50 years ago with the development of the renormalization group framework. This framework was initially developed in the context of phase…

Strongly Correlated Electrons · Physics 2023-07-07 T. Senthil

We employ scaling arguments and optimal fluctuation theory to establish a general relation between quantum Griffiths singularities and the Harris criterion for quantum phase transitions in disordered systems. If a clean critical point…

Disordered Systems and Neural Networks · Physics 2014-02-25 Thomas Vojta , José A. Hoyos

We advocate a (Wilson) renormalization-group (RG) treatment of finite-temperature first-order phase transitions, in particular those driven by radiative corrections such as occur in the standard model, and other spontaneously-broken gauge…

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

Active matter is not only relevant to living matter and diverse nonequilibrium systems, but also constitutes a fertile ground for novel physics. Indeed, dynamic renormalization group (DRG) analyses have uncovered many new universality…

Soft Condensed Matter · Physics 2023-04-27 Patrick Jentsch , Chiu Fan Lee

The critical behavior of a model describing phase transitions in 3D antiferromagnets with 2N-component real order parameters is studied within the renormalization-group (RG) approach. The RG functions are calculated in the three-loop order…

Statistical Mechanics · Physics 2009-10-31 A. I. Sokolov , K. B. Varnashev

We develop a renormalization group (RG) procedure that includes important system-specific features. The key ingredient is to systematize the coarse graining procedure that generates the RG flow. The coarse graining technology comes from…

Statistical Mechanics · Physics 2015-05-13 David E. Reynolds

Dense relativistic matter has attracted a lot of attention over many decades now, with a focus on an understanding of the phase structure and thermodynamics of dense strong-interaction matter. The analysis of dense strong-interaction matter…

High Energy Physics - Phenomenology · Physics 2021-11-17 Jens Braun , Timon Dörnfeld , Benedikt Schallmo , Sebastian Töpfel

The renormalization group method developed by Ken Wilson more than four decades ago has revolutionized the way we think about problems involving a broad range of energy scales such as phase transitions, turbulence, continuum limits and…

High Energy Physics - Theory · Physics 2015-05-27 Y. Meurice , R. Perry , S. -W. Tsai
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