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We study the quantum phase transition in an atomic Bose gas near a Feshbach resonance in terms of the renormalization group. This quantum phase transition is characterized by an Ising order parameter. We show that in the low temperature…

Statistical Mechanics · Physics 2009-11-10 Yu-Wen Lee , Yu-Li Lee

The spin-1/2 quantum Ising chain in a transverse random magnetic field is studied by means of the density-matrix renormalization group. The system evolves from an ordered to a paramagnetic state as the amplitude of the random field is…

Disordered Systems and Neural Networks · Physics 2009-10-30 A. Juozapavicius , S. Caprara , A. Rosengren

We give a heuristic argument for disorder rounding of a first order quantum phase transition into a continuous phase transition. From both weak and strong disorder analysis of the the N-color quantum Ashkin-Teller model in one spatial…

Disordered Systems and Neural Networks · Physics 2008-01-08 Pallab Goswami , David Schwab , Sudip Chakravarty

We formulate a field theory for resonantly interacting anyons, that enables us to perform a perturbative calculation near the fermionic limit. We derive renormalization group equations for three-body and four-body couplings at one-loop…

High Energy Physics - Theory · Physics 2008-11-26 Yusuke Nishida

We investigate the low-energy properties of a generalized quantum sine-Gordon model in one dimension with a self-dual symmetry. This model describes a class of quantum phase transitions that stems from the competition of different orders.…

Statistical Mechanics · Physics 2011-02-16 P. Lecheminant , K. Totsuka

We study the critical behavior of the $O(n)$ model under steady shear flow using a dynamical renormalization group (RG) method. Incorporating the strong anisotropy in scaling ansatz, which has been neglected in earlier RG analyses, we…

Statistical Mechanics · Physics 2026-05-20 Harukuni Ikeda , Hiroyoshi Nakano

We study various dynamical aspects of systems possessing a first order phase transition in their phase diagram. We isolate three qualitatively distinct types of theories depending on the structure of instabilities and the nature of the low…

High Energy Physics - Theory · Physics 2019-11-05 Loredana Bellantuono , Romuald A. Janik , Jakub Jankowski , Hesam Soltanpanahi

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

We recapitulate recent developments of the functional renormalization group (FRG) approach to the steady state of systems out of thermal equilibrium. In particular, we discuss second-order truncation schemes which account for the…

Strongly Correlated Electrons · Physics 2022-12-05 G. Camacho , C. Klöckner , D. M. Kennes , C. Karrasch

Strange metals represent a foundational problem in quantum condensed matter physics, and heavy fermion systems provide a canonical setting to advance a general understanding. The concept of a Kondo destruction quantum critical point is…

Strongly Correlated Electrons · Physics 2026-01-06 Yiming Wang , Shouvik Sur , Chia-Chuan Liu , Qimiao Si

Two very different problems that can be studied by renormalization group methods are discussed with the aim of showing the conceptual unity that renormalization group has introduced in some areas of theoretical Physics. The two problems…

Statistical Mechanics · Physics 2008-02-26 Giovanni Gallavotti

We analyze the exact behavior of the renormalization group flow in one-dimensional clock-models which undergo first order phase transitions by the presence of complex interactions. The flow, defined by decimation, is shown to be…

High Energy Physics - Lattice · Physics 2009-10-22 M. Asorey , J. G. Esteve , J. Salas

Renormalization group in the internal space consists of the gradual change of the coupling constants. Functional evolution equations corresponding to the change of the mass or the coupling constant are presented in the framework of a scalar…

High Energy Physics - Theory · Physics 2009-11-10 J. Polonyi , K. Sailer

Functional renormalisation group approach is applied to a imbalanced many- fermion system with a short-range attractive force. Composite boson field is introduced to describe the pairing between different flavour fermions. A set of…

Quantum Gases · Physics 2015-06-22 Boris Krippa

We investigate the stability of Quantum Critical Points (QCPs) in the presence of two competing phases. These phases near QCPs are assumed to be either classical or quantum and assumed to repulsively interact via square-square interactions.…

Strongly Correlated Electrons · Physics 2010-11-19 Jian-Huang She , Jan Zaanen , Alan R. Bishop , Alexander V. Balatsky

Interacting bosons generically form a superfluid state. In the presence of disorder it can get converted into a compressible Bose glass state. Here we study such transition in one dimension at moderate interaction using bosonization and…

Disordered Systems and Neural Networks · Physics 2012-07-17 Zoran Ristivojevic , Aleksandra Petkovic , Pierre Le Doussal , Thierry Giamarchi

An attempt is made to present modern hopes to find manifestation of supersymmetry, a new symmetry that relates bosons and fermions, in particle physics from the point of view of renormalization group flow. The Standard Model of particle…

High Energy Physics - Phenomenology · Physics 2009-09-25 D. I. Kazakov

The influence of a random environment on the dynamics of a fluctuating rough surface is investigated using a field theoretic renormalization group. The environment motion is modelled by the stochastic Navier--Stokes equation, which includes…

Statistical Mechanics · Physics 2025-02-18 N. V. Antonov , A. A. Babakin , N. M. Gulitskiy , P. I. Kakin

We prove the renormalizability of a gauge-invariant, four-dimensional GFT model on SU(2), whose defining interactions correspond to necklace bubbles (found also in the context of new large-N expansions of tensor models), rather than melonic…

General Relativity and Quantum Cosmology · Physics 2017-09-14 Sylvain Carrozza , Vincent Lahoche , Daniele Oriti

In this paper, we consider a renormalization group perspective on the quantum dynamics of a particle moving in the Euclidean $\mathbb{R}^N$ space through the complex landscape provided by a disordered Hamiltonian of type $2+p$. We focus on…

Disordered Systems and Neural Networks · Physics 2025-02-14 Ixandra Achitouv , Vincent Lahoche , Dine Ousmane Samary , Parham Radpay