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We study the full infrared dynamics of 2+1 flavour QCD with the functional renormalisation group approach. We resolve self-consistently the glue dynamics as well as the dynamics of chiral symmetry breaking. The computation hosts no…

High Energy Physics - Phenomenology · Physics 2025-02-21 Wei-jie Fu , Chuang Huang , Jan M. Pawlowski , Yang-yang Tan , Li-jun Zhou

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

We show how the functional renormalization group can be applied to a study of chiral symmetry breaking in QCD. We discuss the running gauge coupling at finite temperature for QCD. For scales smaller than the corresponding temperature, the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jens Braun

Rank-d Tensorial Group Field Theories are quantum field theories defined on a group manifold $G^{\times d}$, which represent a non-local generalization of standard QFT, and a candidate formalism for quantum gravity, since, when endowed with…

High Energy Physics - Theory · Physics 2016-07-13 Joseph Ben Geloun , Riccardo Martini , Daniele Oriti

The renormalization group is applied to the phi4 model in the symmetry broken phase in order to identify different scaling regimes. The new scaling laws reflect nonuniversal behavior at the phase transition. The extension of the analysis to…

High Energy Physics - Theory · Physics 2007-05-23 Jean Alexandre , Vincenzo Branchina , Janos Polonyi

We present a renormalization group treatment of quantum tricriticality in metals. Applying a set of flow equations derived within the functional renormalization group framework we evaluate the correlation length in the quantum critical…

Strongly Correlated Electrons · Physics 2017-08-31 P. Jakubczyk , J. Bauer , W. Metzner

We have investigated a system with two sets of staggered fermions with charges 1 and -1/2 coupling to a non-compact U(1) gauge field in 4 dimensions. The model exhibits breaking of chiral symmetries of both fermions at different values of…

High Energy Physics - Lattice · Physics 2009-10-22 Arifa Ali Khan

Renormalization group methods are well-established tools for the (numerical) investigation of the low-energy properties of correlated quantum many-body systems, allowing to capture their scale-dependent nature. The functional…

Strongly Correlated Electrons · Physics 2022-06-09 Dominik Kiese , Tobias Mueller , Yasir Iqbal , Ronny Thomale , Simon Trebst

We introduce a new family of tensorial field theories by coupling different fields in a non-trivial way, with a view towards the investigation of the coupling between matter and gravity in the quantum regime. As a first step, we consider…

High Energy Physics - Theory · Physics 2020-03-11 Vincent Lahoche , Dine Ousmane Samary , Antonio D. Pereira

Based on our studies done on two-dimensional autonomous systems, forced non-autonomous systems and time-delayed systems, we propose a unified methodology - that uses renormalization group theory - for finding out existence of periodic…

Chaotic Dynamics · Physics 2015-05-19 Amartya Sarkar , J. K. Bhattacharjee , Sagar Chakraborty , Dhruba Banerjee

We develop a renormalization group method to investigate synchronization clusters in a one-dimensional chain of nearest-neighbor coupled phase oscillators. The method is best suited for chains with strong disorder in the intrinsic…

Pattern Formation and Solitons · Physics 2016-11-28 Oleg Kogan , Jeffrey L. Rogers , M. C. Cross , G. Refael

The critical behavior of the chiral quark-meson model is studied within the Functional Renormalization Group (FRG). We derive the flow equation for the scale dependent thermodynamic potential at finite temperature and density in the…

High Energy Physics - Phenomenology · Physics 2014-11-18 B. Stokic , B. Friman , K. Redlich

The functional renormalization group (FRG) has been used widely to investigate phase diagrams, in particular the one of the two-dimensional Hubbard model. So far, the study of one-dimensional models has not attracted as much attention. We…

Strongly Correlated Electrons · Physics 2018-06-18 Lisa Markhof , Björn Sbierski , Volker Meden , Christoph Karrasch

We review current progress in the functional renormalization group treatment of disordered systems. After an elementary introduction into the phenomenology, we show why in the context of disordered systems a functional renormalization group…

Condensed Matter · Physics 2007-05-23 Kay Joerg Wiese

We discuss the two-loop evolution of the flavor-nonsinglet meson distribution amplitude in perturbative QCD. After reviewing previous two-loop computations, we outline the incompatibility of these solutions with the group property of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Alexander P. Bakulev , N. G. Stefanis

The tensor renormalization group is a promising numerical method used to study lattice statistical field theories. However, this approach is computationally expensive in 2+1 and 3+1 dimensions. Here we use tensor renormalization group…

High Energy Physics - Lattice · Physics 2021-10-19 Jacques Bloch , Robert Lohmayer , Sophia Schweiss , Judah Unmuth-Yockey

The QED renormalization is restudied by using a mass-dependent subtraction which is performed at a time-like renormalization point. The subtraction exactly respects necessary physical and mathematical requirements such as the gauge…

High Energy Physics - Theory · Physics 2008-11-26 Jun-Chen Su , Xue-Xi Yi , Ying-Hui Cao

A renormalization scheme is suggested where QCD input parameters - quark mass and coupling constant - are expressed in terms of gauge invariant and infrared stable quantities. For the renormalization of coupling constant the quark anomalous…

High Energy Physics - Theory · Physics 2007-05-23 G. Sh. Japaridze , K. Sh. Turashvili

We discuss the properties of the two-flavor quark-meson diquark (QMD) model as a renormalizable low-energy model for QCD in the 2SC phase of QCD. The effective degrees of freedom are the mesons (sigma and pions), quarks, and diquarks. Some…

High Energy Physics - Phenomenology · Physics 2024-11-06 Jens O. Andersen , Mathias P. Nødtvedt

We study the renormalization group flow in general quantum field theories with quenched disorder, focusing on random quantum critical points. We show that in disorder-averaged correlation functions the flow mixes local and non-local…

Strongly Correlated Electrons · Physics 2018-08-22 Vladimir Narovlansky , Ofer Aharony