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Extending the usual Ginzburg-Landau theory for the random-field Ising model, the possibility of dimensional reduction is reconsidered. A renormalization group for the probability distribution of magnetic impurities is applied. New…

Statistical Mechanics · Physics 2014-04-15 Hisamitsu Mukaida , Yoshinori Sakamoto

The massive Schwinger model is studied, using a density matrix renormalization group approach to the staggered lattice Hamiltonian version of the model. Lattice sizes up to 256 sites are calculated, and the estimates in the continuum limit…

High Energy Physics - Lattice · Physics 2009-11-07 T. Byrnes , P. Sriganesh , R. J. Bursill , C. J. Hamer

The Functional Renormalisation Group approach is applied the imbalanced many-fermion systems. The system is found to exhibit the first order phase transition from the superfluid to normal phase when the density (chemical potential) mismatch…

Quantum Gases · Physics 2015-10-20 Boris Krippa

Tensor models provide a way to access the path-integral for discretized quantum gravity in d dimensions. As in the case of matrix models for two-dimensional quantum gravity, the continuum limit can be related to a Renormalization Group…

General Relativity and Quantum Cosmology · Physics 2017-01-12 Astrid Eichhorn , Tim Koslowski

The self--similar renormalization group is used to obtain expressions for the spectrum of the Hamiltonian with the Yukawa potential. The critical screening parameter above which there are no bound states is also obtained by this method. The…

Condensed Matter · Physics 2009-10-31 V. I. Yukalov , E. P. Yukalova , F. A. Oliveira

We propose a density matrix renormalization group (DMRG) technique at finite temperatures. As is the case of the ground state DMRG, we use a single-target state that is calculated by making use of a regulated polynomial expansion. Both…

Strongly Correlated Electrons · Physics 2009-03-09 Shigetoshi Sota , Takami Tohyama

A perturbative renormalization group approach is employed to study the effect of a periodic potential on a system of one-dimensional bosons in a non-equilibrium steady-state due to an initial interaction quench. The renormalization group…

Strongly Correlated Electrons · Physics 2015-05-30 Aditi Mitra , Thierry Giamarchi

The renormalization group is used to improve the effective potential of massive ${\rm O}(N)$ symmetric $\phi^4$ theory. Explicit results are given at the two-loop level.

High Energy Physics - Phenomenology · Physics 2009-10-22 Boris Kastening

In this paper, we introduce new reference observables to establish a scaling formula in the renormalization group equation. Using the transfer matrix method, we calculate the two point observables of the one dimensional Ising model without…

Probability · Mathematics 2024-05-14 Cui Kaiyuan , Gong Fuzhou

We discuss motivation and goals of renormalization analyses of group field theory models of simplicial 4d quantum gravity, and review briefly the status of this research area. We present some new computations of perturbative GFT (spin foam)…

High Energy Physics - Theory · Physics 2021-05-07 Marco Finocchiaro , Daniele Oriti

The spin 1/2 XXZ chain in a random magnetic field pointing in the Z direction is numerically studied using the Density Matrix Renormalization Group (DMRG) method. The phase diagram as a function of the anisotropy of the XXZ Hamiltonian and…

Strongly Correlated Electrons · Physics 2009-11-07 Laura Urba , Anders Rosengren

Approximately 10 years ago, the method of renormalization-group symmetries entered the field of boundary value problems of classical mathematical physics, stemming from the concepts of functional self-similarity and of the Bogoliubov…

Mathematical Physics · Physics 2009-08-11 V. F. Kovalev , D. V. Shirkov

The renormalization group is not only a powerful method for describing universal properties of phase transitions but it is also useful for evaluating non- universal properties beyond mean-field theory. In this contribution we concentrate on…

Condensed Matter · Physics 2009-11-07 Gernot Alber , Georgios Metikas

We develop the idea that renormalization, decoupling of heavy particle effects from low energy physics and the construction of effective field theories are intimately linked to the momentum space entanglement of disparate modes of an…

High Energy Physics - Theory · Physics 2020-11-12 Bingzheng Han , Ratindranath Akhoury

We employ the machinery of smooth scaling and coarse-graining of observables, developed recently by us in the context of so-called fluctuation operators (inspired by prior work of Verbeure et al) to make a rigorous renormalisation group…

Mathematical Physics · Physics 2007-05-23 Manfred Requardt

In this paper we propose a method to study the Functional Renormalization Group at finite chemical potential. The method consists of mapping the FRG equations within the Fermi surface into a differential equation defined on a rectangle with…

High Energy Physics - Theory · Physics 2017-01-11 G. G. Barnafoldi , A. Jakovac , P. Posfay

We explore the applicability of the exact renormalization group to the study of tunnelling phenomena. We investigate quantum-mechanical systems whose energy eigenstates are affected significantly by tunnelling through a barrier in the…

High Energy Physics - Theory · Physics 2009-10-31 A. S. Kapoyannis , N. Tetradis

Quantum magnetism in low dimensions has been one of the central areas of theoretical research for many decades now. One of the key reasons for the long standing interest in this field has been the existence of simplified models, which serve…

Strongly Correlated Electrons · Physics 2007-05-23 Swapan K. Pati , S. Ramasesha , Diptiman Sen

We use two renormalization techniques, Effective Field Theory and the Similarity Renormalization Group, to solve simple Schr{\"o}dinger equations with delta-function potentials in one and two dimensions. The familiar one-dimensional…

Nuclear Theory · Physics 2007-05-23 Sergio Szpigel , Robert Perry

(Short Description) We use a large N renormalization group method to study a model of interacting boson system with a quenched random potential.

Condensed Matter · Physics 2009-10-22 Yong Baek Kim , Xiao-Gang Wen