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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

A renormalization group (RG) analysis of the superconductive instability of an anisotropic fermionic system is developed at a finite temperature. The method appears a natural generalization of Shankar's approach to interacting fermions and…

Condensed Matter · Physics 2009-10-28 Fabio Siringo , Giuseppe G. N. Angilella , Renato Pucci

We investigate the low-energy scaling behavior of an interacting 3D Weyl semimetal in the presence of disorder. In order to achieve a renormalization group analysis of the theory, we focus on the effects of a short-ranged-correlated…

Mesoscale and Nanoscale Physics · Physics 2017-08-16 J. Gonzalez

We study the phase structure of the (3+1)-dimensional cold and dense QCD with the Kogut--Susskind quark in the strong coupling limit using the tensor renormalization group method. The chiral and nuclear transitions are investigated by…

High Energy Physics - Lattice · Physics 2026-01-29 Yuto Sugimoto , Shinichiro Akiyama , Yoshinobu Kuramashi

We consider nonanticommutative SYM theories with chiral matter in the adjoint representation of the SU(N) x U(1) gauge group. In a superspace setup and manifest background covariant approach we investigate the one-loop renormalization of…

High Energy Physics - Theory · Physics 2009-04-02 Silvia Penati , Alberto Romagnoni , Massimo Siani

The physics of Majorana fermion occurs at the edge and interface of many one-dimensional quantum many body system with gapped excitation spectrum. We present the renormalization group equations for strongly interacting helical liquid. We…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Sujit Sarkar

We describe both the Fermi velocity and the mass renormalization due to the two-dimensional Coulomb interaction in the presence of a thermal bath. To achieve this, we consider an anisotropic version of pseudo quantum electrodynamics (PQED),…

Mesoscale and Nanoscale Physics · Physics 2023-09-19 Nilberto Bezerra , Van Sérgio Alves , Leandro O. Nascimento , Luis Fernandez

The structure of the UV divergencies in higher dimensional nonrenormalizable theories is analysed. Based on renormalization operation and renormalization group theory it is shown that even in this case the leading divergencies (asymptotics)…

High Energy Physics - Theory · Physics 2011-04-11 D. I. Kazakov , G. S. Vartanov

Quantum criticality, a manifestation of emergent scale invariance in electron wavefunctions arises from intricate many-body quantum entanglement. One of the natural venues for the criticality is clean undoped Dirac semimetals, known as a…

Strongly Correlated Electrons · Physics 2014-09-03 Eun-Gook Moon , Yong Baek Kim

We formulate a field-theoretic description for $d$-dimensional interacting nodal semimetals, featuring dispersion that scales with the linear and $n$th power of momentum along $d_L$ and $d_M$ mutually orthogonal directions around a few…

Strongly Correlated Electrons · Physics 2025-04-02 Gabriel Malave , Rodrigo Soto-Garrido , Vladimir Juricic , Bitan Roy

We study the stability of Dirac semimetals with $N$ nodes in three spatial dimensions against strong $1/r$ Coulomb interactions. We particularly study the cases of $N=4$ and $N=16$, where the $N=4$ Dirac semimetal is described by the…

Strongly Correlated Electrons · Physics 2014-08-25 Akihiko Sekine , Kentaro Nomura

In the present study we examine nature of a charge ordering transition in monolayer vanadium diselenide ($VSe_{2}$), which would be distinguished from that of $VSe_{2}$ bulk samples, driven by more enhanced electron-electron correlations.…

Strongly Correlated Electrons · Physics 2019-01-15 Iksu Jang , Ganbat Duvjir , Byoung Ki Choi , Jungdae Kim , Young Jun Chang , Ki-Seok Kim

The vulcanization transition - the crosslink-density-controlled equilibrium phase transition from the liquid to the amorphous solid state - is explored analytically from a renormalization group perspective. The analysis centers on a minimal…

Disordered Systems and Neural Networks · Physics 2009-10-31 Weiqun Peng , Paul M. Goldbart

The search for materials with large thermopower is of great practical interest. Dirac and Weyl semimetals have recently proven to exhibit superior thermoelectric properties, particularly when subjected to a quantizing magnetic field. Here…

Materials Science · Physics 2024-06-24 Poulomi Chakraborty , Aaron Hui , Grigory Bednik , Brian Skinner

We start by describing a symmetry enforced nodal line semi-metal (NLSM) in the 2D flat form of honeycomb Group - V and its non trivial thermo-electric response. We will then proceed to show that, upon buckling, the system undergoes its…

Materials Science · Physics 2022-02-15 Santosh Kumar Radha

We studied the nematic isotropic phase transition by applying the functional renormalization group to the Landau-de Gennes model. We derived the flow equations for the effective potential as well as the cubic and quartic "couplings" and the…

Statistical Mechanics · Physics 2018-07-11 Bin Qin , Defu Hou , Mei Huang , Danning Li , Hui Zhang

We study the long-time asymptotics of a certain class of nonlinear diffusion equations with time-dependent diffusion coefficients which arise, for instance, in the study of transport by randomly fluctuating velocity fields. Our primary goal…

Analysis of PDEs · Mathematics 2016-09-06 Gastão A. Braga , Frederico Furtado , Jussara M. Moreira , Leonardo T. Rolla

Renormalization group methods are used to study the low-energy behavior of the unscreened Coulomb interaction in a one-dimensional electron system. By applying a GW approximation, a strong wavefunction renormalization is found in the model,…

Strongly Correlated Electrons · Physics 2007-05-23 S. Bellucci , J. Gonzalez

The dynamics at the IR fixed point realized in the $SU(N_c)$ gauge theories with massless Dirac fermions is studied by means of the non-perturbative renormalization group. The analysis includes the IR fixed points with non-trivial Yukawa…

High Energy Physics - Phenomenology · Physics 2011-11-09 Haruhiko Terao , Akito Tsuchiya

The renormalization-group method is used to analyze the low-temperature behaviour of a two-dimentional, spin-$s$ quantum Heisenberg ferromagnet. A set of recursion equations is derived in an one-loop approximation. The low-temperature…

Condensed Matter · Physics 2009-10-28 Naoum Karchev