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We employ an adaptation of a strong-disorder renormalization-group technique in order to analyze the ferro-paramagnetic quantum phase transition of Ising chains with aperiodic but deterministic couplings under the action of a transverse…

Statistical Mechanics · Physics 2012-03-16 Fleury J. Oliveira Filho , Maicon S. Faria , André P. Vieira

The quantum renormalization group method is applied to study the quantum criticality and entanglement entropy of the ground state of the Ising chain in the presence of antisymmetric anisotropic couplings and alternating exchange…

Strongly Correlated Electrons · Physics 2012-08-09 Xiang Hao

We discuss the perturbative expansion of several one-loop improved renormalisation group equations. It is shown that in general the integrated renormalisation group flows fail to reproduce perturbation theory beyond one loop.

High Energy Physics - Theory · Physics 2009-11-07 Daniel F. Litim , Jan M. Pawlowski

This is a copy of the 2009 Princeton University thesis which examined various aspects of gauge/gravity duality, including renormalization group flows, phase transitions of the holographic entanglement entropy, and instabilities associated…

High Energy Physics - Theory · Physics 2016-10-12 Arvind Murugan

We briefly outline the models of the $n\bar{n}$ transition in nuclei and analyse a well known calculation based on diagram technique published in 1992 and repeated recently by V. Kopeliovich and I. Potashnikova.

High Energy Physics - Phenomenology · Physics 2011-02-08 V. I. Nazaruk

A recently introduced real space renormalization group technique, developed for the analysis of processes in the Kardar-Parisi-Zhang universality class, is generalized and tested by applying it to a different family of surface growth…

Condensed Matter · Physics 2016-08-31 G. Bianconi , M. A. Munoz , A. Gabrielli , L. Pietronero

We study elastic systems such as interfaces or lattices, pinned by quenched disorder. To escape triviality as a result of ``dimensional reduction'', we use the functional renormalization group. Difficulties arise in the calculation of the…

Condensed Matter · Physics 2009-07-10 Pierre Le Doussal , Kay Joerg Wiese , Pascal Chauve

An exact renormalization group equation is derived for the free energy of matrix models. The renormalization group equation turns out to be nonlinear for matrix models, as opposed to linear for vector models. An algorithm for determining…

High Energy Physics - Theory · Physics 2009-10-22 Saburo Higuchi , Chigak Itoi , Shinsuke Nishigaki , Norisuke Sakai

In previous studies, we proposed a scaling ansatz for electron-electron interactions under renormalization group transformation. With the inclusion of phonon-mediated interactions, we show that the scaling ansatz, characterized by the…

Strongly Correlated Electrons · Physics 2013-04-02 Yiwei Cai , Wen-Min Huang , Hsiu-Hau Lin

A comparison of spectra obtained using the 1-loop MSSM and 2-loop R-parity violating MSSM renormalization group equations is presented. Influence of higher loop corrections and R-parity violating terms is discussed. Some numerical…

High Energy Physics - Phenomenology · Physics 2009-11-10 Marek Gozdz , Wieslaw A. Kaminski

An alternative proof is given for the main result of the article referred to in the title and published in ECP (2024). The proof exploits the theory of regenerative composition structures due to Gnedin and Pitman. The present article is a…

Probability · Mathematics 2024-12-11 Alexander Iksanov

We compare the results of renormalization-group and lattice studies for the properties of the electroweak phase transition. This comparison reveals the mechanisms that underlie the phenomenology of the phase transition.

High Energy Physics - Phenomenology · Physics 2009-10-30 N. Tetradis

We revisit Fradkin and Raby's real-space renormalization-group method to study the quantum Z_2 gauge theory defined on links forming a two-dimensional square lattice. Following an old suggestion of theirs, a systematic perturbation…

Statistical Mechanics · Physics 2021-02-02 Steve T. Paik

Recent theoretical studies raised the possibility of a realization of spin nematic states in the S=1 triangular lattice compound NiGa_2S_4. We study the bilinear-biquadratic spin 1 chain in a zig-zag geometry by means of the density matrix…

Strongly Correlated Electrons · Physics 2008-01-21 Philippe Corboz , Andreas M. Laeuchli , Keisuke Totsuka , Hirokazu Tsunetsugu

Using a functional renormalization group method, we obtain the phase diagram of the two-leg ladder system within the Holstein-Hubbard model, which includes both electron-electron and electron-phonon interactions. Our renormalization group…

Strongly Correlated Electrons · Physics 2007-10-30 Ka-Ming Tam , S. -W. Tsai , D. K. Campbell , A. H. Castro Neto

We use the Density-Matrix Renormalization Group to study the single-particle and two-particle correlation functions of spinless fermions in the ground state of a quarter-filled ladder. This ladder consists of two chains having an in-chain…

Strongly Correlated Electrons · Physics 2009-11-07 L. G. Caron , C. Bourbonnais

In this paper we perform a renormalization group analysis on the 1+1 dimensional version of an effective field theory (previously proposed by Dung-Hai Lee, cond-mat/011393) describing (quantum) fluctuating stripe and superconductor orders.…

Superconductivity · Physics 2009-11-07 Henry C. Fu

This paper is the fourth in a series devoted to the development of a rigorous renormalisation group method for lattice field theories involving boson fields, fermion fields, or both. The third paper in the series presents a perturbative…

Mathematical Physics · Physics 2015-06-19 David C. Brydges , Gordon Slade

Two-loop renormalization group equations in gauge theories with multiple U(1) groups are presented. Instead of normalizing the abelian gauge fields in canonical forms, we retain kinetic-mixing terms and treat the mixing coefficients as free…

High Energy Physics - Phenomenology · Physics 2009-11-07 Mingxing Luo , Yong Xiao

A proper version of the proto renormalization-group scheme is presented to derive amplitude equations in striped pattern formation with conserved and nonconserved order parameter. In the conserved case, the result preserves the conservation…

Statistical Mechanics · Physics 2011-06-03 Y. Shiwa