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The application of the nonperturbative renormalisation group approach to a system with two fermion species is studied. Assuming a simple ansatz for the effective action with effective bosons, describing pairing effects we derive a set of…

Nuclear Theory · Physics 2016-09-08 Boris Krippa

We discuss structural aspects of the functional renormalisation group. Flows for a general class of correlation functions are derived, and it is shown how symmetry relations of the underlying theory are lifted to the regularised theory. A…

High Energy Physics - Theory · Physics 2010-04-06 Jan M. Pawlowski

Scalar field theory at finite temperature is investigated via an improved renormalization group prescription which provides an effective resummation over all possible non-overlapping higher loop graphs. Explicit analyses for the lambda…

High Energy Physics - Theory · Physics 2009-10-28 Sen-Ben Liao , Michael Strickland

This paper is focused on the functional renormalization group applied to the $T_5^6$ tensor model on the Abelian group $U(1)$ with closure constraint. For the first time, we derive the flow equations for the couplings and mass parameters in…

High Energy Physics - Theory · Physics 2017-07-14 Vincent Lahoche , Dine Ousmane Samary

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

Nonperturbative flow equations within an effective linear sigma model coupled to constituent quarks for two quark flavors are derived and solved. A heat kernel regularization is employed for a renormalization group improved effective…

Nuclear Theory · Physics 2009-10-31 B. -J. Schaefer , H. -J. Pirner

We consider the double-scaling limit in matrix models for two-dimensional quantum gravity, and establish the nonperturbative functional Renormalization Group as a novel technique to compute the corresponding interacting fixed point of the…

General Relativity and Quantum Cosmology · Physics 2013-10-30 Astrid Eichhorn , Tim Koslowski

The flow equations of the renormalisation group permit to analyse the perturbative $n$-point functions of renormalisable quantum field theories. Rigorous bounds implying renormalisablility allow to control large momentum behaviour, infrared…

Mathematical Physics · Physics 2019-12-18 Christoph Kopper

The Renormalization Group flow equations obtained by means of a proper time regulator are used to analyze the restoration of the discrete chiral symmetry at non-zero density and temperature in the Gross-Neveu model in d=2+1 dimensions. The…

High Energy Physics - Theory · Physics 2009-11-10 P. Castorina , M. Mazza , D. Zappala'

We analyze the interplay of antiferromagnetism and pairing in the two dimensional Hubbard model with a moderate repulsive interaction. Coupled charge, magnetic and pairing fluctuations above the energy scale of spontaneous symmetry breaking…

Strongly Correlated Electrons · Physics 2021-01-04 Demetrio Vilardi , Pietro M. Bonetti , Walter Metzner

The renormalization group flow of an integrable two dimensional quantum field theory which contains unstable particles is investigated. The analysis is carried out for the Virasoro central charge and the conformal dimensions as a function…

High Energy Physics - Theory · Physics 2009-12-31 O. A. Castro-Alvaredo , A. Fring

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

For the linear sigma model with quarks we derive renormalization group flow equations for finite temperature and finite baryon density using the heat kernel cutoff. At zero temperature we evolve the effective potential to the Fermi momentum…

Nuclear Theory · Physics 2009-10-31 J. Meyer , G. Papp , H. -J. Pirner , T. Kunihiro

The phases with spontaneously broken symmetries corresponding to antiferromagnetic and d-wave superconducting order in the two-dimensional t-t'-Hubbard model are investigated by means of the functional renormalization group. The…

Strongly Correlated Electrons · Physics 2013-05-29 Simon Friederich , Hans Christian Krahl , Christof Wetterich

The application of the exact renormalisation group to a many-fermion system with a short-range attractive force is studied. We assume a simple ansatz for the effective action with effective bosons, describing pairing effects and derive a…

Nuclear Theory · Physics 2014-11-18 Boris Krippa

We perform a tensor renormalization group simulation of non-Abelian gauge theory in three dimensions using a formulation based on the `armillary sphere.' In this formulation, matrix indices are completely traced out, eliminating the…

High Energy Physics - Lattice · Physics 2025-02-07 Atis Yosprakob , Kouichi Okunishi

We investigated the chiral symmetry and U_A(1) anomaly at finite temperature by applying the functional renormalization group to the SU(3) linear sigma model. Expanding the local potential around the classical fields, we derived the flow…

High Energy Physics - Phenomenology · Physics 2015-06-11 Yin Jiang , Pengfei Zhuang

We apply the functional renormalisation group to few-nucleon systems. Our starting point is a local effective action that includes three- and four-nucleon interactions, expressed in terms of nucleon and two-nucleon boson fields. The…

Nuclear Theory · Physics 2015-03-20 Michael C. Birse , Boris Krippa , Niels R. Walet

We investigate the critical behavior of pion superfluidity in the frame of functional renormalization group. By solving the flow equation in the SU(2) linear sigma model with pion superfluidity at finite temperature and isospin density, and…

High Energy Physics - Phenomenology · Physics 2016-11-03 Ziyue Wang , Pengfei Zhuang

We reveal the critical properties of the phase transition towards superfluid order that has been proposed to occur in large spin fermionic systems. For this purpose, we consider the bosonic field theory for fluctuations of the complex…

Statistical Mechanics · Physics 2023-05-03 Michal Hnatič , Georgii Kalagov