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I review the way the many-body Green functions are used to renormalize the perturbation theory of correlated fermions. The Green functions are introduced to implement systematically dynamical corrections to the static mean-field theory. The…

Strongly Correlated Electrons · Physics 2021-09-21 Václav Janiš

A density functional theory is proposed for strongly interacting fermions with arbitrary large negative scattering length. The functional has only two parameters that are directly fixed to reproduce the universal properties of unitary gas:…

Nuclear Theory · Physics 2016-11-03 Denis Lacroix

In these proceedings, we discuss why functional renormalization is an essential tool to treat strongly disordered systems. More specifically, we treat elastic manifolds in a disordered environment. These are governed by a disorder…

Disordered Systems and Neural Networks · Physics 2007-05-23 Kay Joerg Wiese

We formulate a wilsonian renormalization group theory for the imbalanced Fermi gas. The theory is able to recover quantitatively well-established results in both the weak-coupling and the strong-coupling (unitarity) limit. We determine for…

Statistical Mechanics · Physics 2009-11-13 K. B. Gubbels , H. T. C. Stoof

Due to an accidentally large $s$-wave scattering length, in a relatively wide range of energy, neutrons are approximately described by the nonrelativistic conformal field theory of unitarity fermions, perturbed by one relevant and an…

High Energy Physics - Theory · Physics 2024-01-12 Subham Dutta Chowdhury , Ruchira Mishra , Dam Thanh Son

The $SU(2)_A \times U(2)_V$-symmetric chiral linear sigma model in the presence of the axial anomaly is studied in the local-potential approximation of the Functional Renormalization Group (FRG). The renormalization group (RG) flow is…

High Energy Physics - Theory · Physics 2014-10-07 Mara Grahl , Dirk H. Rischke

An exact renormalization group for theories of a scalar chiral superfield is formulated, directly in four dimensional Euclidean space. By constructing a projector which isolates the superpotential from the full Wilsonian effective action,…

High Energy Physics - Theory · Physics 2015-03-13 Oliver J. Rosten

Renormalization-group methods in soft-collinear effective theory are used to perform the resummation of large perturbative logarithms for deep-inelastic scattering in the threshold region x->1. The factorization theorem for the structure…

High Energy Physics - Phenomenology · Physics 2010-10-27 Thomas Becher , Matthias Neubert , Ben D. Pecjak

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 review some aspects of the renormalization group method for interacting fermions. Special emphasis is placed on the application of scaling theory to quasi-one-dimensional systems at non zero temperature. We begin by introducing the…

Strongly Correlated Electrons · Physics 2007-05-23 C. Bourbonnais , B. Guay , R. Wortis

We compute numerically the sequence of successive pinned configurations of an elastic line pulled quasi-statically by a spring in a random bond (RB) and random field (RF) potential. Measuring the fluctuations of the center of mass of the…

Disordered Systems and Neural Networks · Physics 2009-11-11 Alberto Rosso , Pierre Le Doussal , Kay Joerg Wiese

The renormalisation group (RG) flow on the space of couplings of a simple model with two couplings is examined. The model considered is that of a single component scalar field with $\phi^4$ self interaction coupled, via Yukawa coupling, to…

High Energy Physics - Theory · Physics 2015-06-26 Brian P. Dolan

The consistent description of unstable particles, renormalons, or other Schwinger--Dyson-type of solutions within the framework of perturbative gauge field theories necessitates the definition and resummation of off-shell Green's functions,…

High Energy Physics - Phenomenology · Physics 2011-08-17 Joannis Papavassiliou , Apostolos Pilaftsis

A method is introduced to renormalize the zero-range interaction for use in mean-field and many-body theory, starting from two-body calculations. The density-renormalized delta-function interaction is then applied using mean-field theory to…

Superconductivity · Physics 2015-06-25 Javier von Stecher , Chris H. Greene

We study the role of categorical symmetries in constraining the renormalisation of couplings in two-dimensional non-linear sigma models with Wess-Zumino term. A large class of these theories admit self-duality symmetries associated with…

High Energy Physics - Theory · Physics 2025-09-26 Guillermo Arias-Tamargo , Chris Hull , Maxwell L. Velásquez Cotini Hutt

It has been argued that certain reduced actions play a role in AdS/CFT when comparing fast moving strings to long single trace operators in gauge theories. Such actions arise in two ways: as a limit of the string action and as a description…

High Energy Physics - Theory · Physics 2016-09-06 Martin Kruczenski

The three-dimensional Abelian Chern-Simons theory coupled to a scalar and a fermionic field of arbitrary charge is considered in order to study conformal symmetry breakdown and the effective potential stability. We present an improved…

High Energy Physics - Theory · Physics 2014-11-21 A. G. Dias , A. F. Ferrari

A coordinate space approach, based on that used by Efimov, is applied to three-body systems with contact interactions between pairs of particles. In systems with nonzero orbital angular momentum or with asymmetric spatial wave functions,…

Nuclear Theory · Physics 2009-11-11 Michael C. Birse

We study the supersymmetric N=(2,2) Wess-Zumino model in two dimensions with the functional renormalization group. At leading order in the supercovariant derivative expansion we recover the nonrenormalization theorem which states that the…

High Energy Physics - Theory · Physics 2010-11-17 Franziska Synatschke-Czerwonka , Thomas Fischbacher , Georg Bergner

The Schwinger-Keldysh functional renormalization group (fRG) developed in [1] is employed to investigate critical dynamics related to a second-order phase transition. The effective action of model A is expanded to the order of…

High Energy Physics - Phenomenology · Physics 2023-12-12 Yong-rui Chen , Yang-yang Tan , Wei-jie Fu
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