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We construct the field theory which describes the universal properties of the quasi-static isotropic depinning transition for interfaces and elastic periodic systems at zero temperature, taking properly into account the non-analytic form of…

Condensed Matter · Physics 2009-11-07 Pierre Le Doussal , Kay Joerg Wiese , Pascal Chauve

In this article a comparative study of the renormalization of entanglement in one, two and three dimensional space and its relation with quantum phase transition (QPT) near the critical point is presented by implementing the Quantum…

Quantum Physics · Physics 2016-10-05 M. Usman , Asif Ilyas , Khalid Khan

Disordered systems are interesting for many physical reasons. In this article, we study the renormalization group property of quenched disorder systems in the presence of a boundary. We construct examples of scalar field theories in various…

High Energy Physics - Theory · Physics 2021-08-17 Rajesh Kumar Gupta

The functional renormalization group provides an efficient description of the interplay and competition of correlations on different energy scales in interacting Fermi systems. An exact hierarchy of flow equations yields the gradual…

Strongly Correlated Electrons · Physics 2008-10-06 Sabine Andergassen , Tilman Enss , Christoph Karrasch , Volker Meden

We derive a set of rotationally covariant amplitude equations for use in multiscale simulation of the two dimensional phase field crystal (PFC) model by a variety of renormalization group (RG) methods. We show that the presence of a…

Pattern Formation and Solitons · Physics 2007-05-23 Badrinarayan P. Athreya , Nigel Goldenfeld , Jonathan A. Dantzig

We set up the Functional Renormalisation Group formalism for Tensorial Group Field Theory in full generality. We then apply it to a rank-3 model over U(1) x U(1) x U(1), endowed with a linear kinetic term and nonlocal interactions. The…

High Energy Physics - Theory · Physics 2015-07-09 Dario Benedetti , Joseph Ben Geloun , Daniele Oriti

We show that in the regime when strong disorder is more relevant than field quantization the superfluid--to--Bose-glass criticality of one-dimensional bosons is preceded by the prolonged logarithmically slow classical-field renormalization…

Disordered Systems and Neural Networks · Physics 2015-06-15 L. Pollet , N. V. Prokof'ev , B. V. Svistunov

The tensor-entanglement renormalization group approach is applied to Hamiltonians that realize a class of topologically ordered states -- string-net condensed states. We analyze phase transitions between phases with and without string-net…

Strongly Correlated Electrons · Physics 2009-03-08 Zheng-Cheng Gu , Michael Levin , Xiao-Gang Wen

We show how the renormalons emerge from the renormalization group equation with a priori no reference to any Feynman diagrams. The proof is rather given by recasting the renormalization group equation as a resurgent equation studied in the…

High Energy Physics - Theory · Physics 2020-03-17 Jahmall Bersini , Alessio Maiezza , Juan Carlos Vasquez

We analyse approximate solutions to an exact renormalisation group equation with particular emphasis on their dependence on the regularisation scheme, which is kept arbitrary. Physical quantities related to the coarse-grained potential of…

High Energy Physics - Theory · Physics 2009-10-30 Daniel F. Litim

We discuss some higher-loop studies of renormalization-group flows and fixed points in various quantum field theories.

High Energy Physics - Theory · Physics 2022-07-05 Robert Shrock

We present a renormalization group theory for the onset of Ising-nematic order in a Fermi liquid in two spatial dimensions. This is a quantum phase transition, driven by electron interactions, which spontaneously reduces the point-group…

Strongly Correlated Electrons · Physics 2010-08-24 Max A. Metlitski , Subir Sachdev

A spatially extended classical system with metastable states subject to weak spatiotemporal noise can exhibit a transition in its activation behavior when one or more external parameters are varied. Depending on the potential, the…

Statistical Mechanics · Physics 2008-07-09 J. Bürki , C. A. Stafford , D. L. Stein

This is a lecture note on the renormalization group theory for field theory models based on the dimensional regularization method. We discuss the renormalization group approach to fundamental field theoretic models in low dimensions. We…

Statistical Mechanics · Physics 2018-04-10 Takashi Yanagisawa

We investigate equilibrium and steady-state non-equilibrium transport properties of a spinless resonant level locally coupled to two conduction bands of width ~\Gamma via a Coulomb interaction U and a hybridization t'. In order to study the…

Strongly Correlated Electrons · Physics 2015-05-14 C. Karrasch , M. Pletyukhov , L. Borda , V. Meden

We investigate multicritical phenomena in O(N)+O(M)-models by means of nonperturbative renormalization group equations. This constitutes an elementary building block for the study of competing orders in a variety of physical systems. To…

Statistical Mechanics · Physics 2015-06-12 Igor Boettcher

The process of renormalization to eliminate divergences arising in quantum field theory is not uniquely defined; one can always perform a finite renormalization, rendering finite perturbative results ambiguous. The consequences of making…

High Energy Physics - Phenomenology · Physics 2019-01-24 D. G. C. McKeon , Chenguang Zhao

A renormalization group method is developed with which thermodynamic properties of a weakly interacting, confined Bose gas can be investigated. Thereby effects originating from a confining potential are taken into account by periodic…

Condensed Matter · Physics 2009-10-31 G. Alber

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

We establish a renormalization group approach which is implemented on the degrees of freedom defined by the overlap of two replicas to determine the critical fixed point and to extract four critical exponents for the phase transition of the…

Statistical Mechanics · Physics 2024-05-17 Dimitrios Bachtis
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