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We study a recently proposed quantum action depending on temperature. We construct a renormalisation group equation describing the flow of action parameters with temperature. At zero temperature the quantum action is obtained analytically…

High Energy Physics - Theory · Physics 2016-08-16 H. Jirari , H. Kröger , X. Q. Luo , G. Melkonyan , K. J. M. Moriarty

We apply to the calculation of the pressure of a hot scalar field theory a method that has been recently developed to solve the Non-Perturbative Renormalization Group. This method yields an accurate determination of the momentum dependence…

High Energy Physics - Phenomenology · Physics 2011-01-17 Jean-Paul Blaizot , Andreas Ipp , Nicolás Wschebor

We analyse 4-dimensional massive $\vp^4$ theory at finite temperature T in the imaginary-time formalism. We present a rigorous proof that this quantum field theory is renormalizable, to all orders of the loop expansion. Our main point is to…

High Energy Physics - Theory · Physics 2009-10-31 Christoph Kopper , Volkhard F. Müller , Thomas Reisz

In this paper a resummation method inspired by the renormalization-group improvement is applied to the one-loop effective potential (EP) in massive scalar $\phi^4$ model at $T\neq0$. By investigating the phase structure of the model at $T…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hisao Nakkagawa , Hiroshi Yokota

We discuss the functional renormalization group and pion condensation in the presence of a finite isospin chemical potential $\mu_I$. We calculate the phase diagram as function of temperature $T$ and $\mu_I$. While the exact effective…

High Energy Physics - Phenomenology · Physics 2011-04-28 Eirik E. Svanes , Jens O. Andersen

We study the renormalization group flow of $\phi^4$ theory in two dimensions. Regularizing space into a fine-grained lattice and discretizing the scalar field in a controlled way, we rewrite the partition function of the theory as a tensor…

Strongly Correlated Electrons · Physics 2020-08-26 Clement Delcamp , Antoine Tilloy

We study phase transitions in uniformly frustrated SU(N)-symmetric $(2+\epsilon)$-dimensional lattice models describing type-II superconductors near the upper critical magnetic field $H_{c2}(T)$. The low-temperature renormalization-group…

Superconductivity · Physics 2009-10-31 Giancarlo Jug , Boris N. Shalaev

We present an approximation scheme to solve the Non Perturbative Renormalization Group equations and obtain the full momentum dependence of the $n$-point functions. It is based on an iterative procedure where, in a first step, an initial…

High Energy Physics - Theory · Physics 2008-11-26 J. P. Blaizot , R. Mendez-Galain , N. Wschebor

We consider the GUT-like model with two scalar fields which has infinitesimal deviation from the conformal invariant fixed point at high energy region. In this case the dominating quantum effect is the conformal trace anomaly and the…

High Energy Physics - Theory · Physics 2009-02-25 Guido Cognola , Ilya L. Shapiro

Non-perturbative renormalization group approach suggests that a large class of nonlinear sigma models are renormalizable in three dimensional space-time, while they are non-renormalizable in perturbation theory. ${\cal N}=2$ supersymmetric…

High Energy Physics - Theory · Physics 2007-05-23 Kiyoshi Higashijima , Etsuko Itou , Makoto Tsuzuki

Renormalization group methods are an essential ingredient in the study of nonperturbative problems of quantum field theory. This paper deal with the symmetry constraints on the renormalization group flow for quartic melonic tensorial group…

High Energy Physics - Theory · Physics 2019-08-14 Vincent Lahoche , Dine Ousmane Samary

We focus on the special situation of $D=2J$ of the general spin-S Blume-Capel model on the square lattice. Under the infinitesimal external magnetic field, the phase transition behaviors due to the thermal fluctuations are discussed by the…

Statistical Mechanics · Physics 2016-09-16 Li-Ping Yang , Zhi-Yuan Xie

We calculate correlation functions of the energy-momentum tensor in the vicinity of the deconfinement phase transition of (3+1)-dimensional SU(2) gauge theory and discuss their critical behavior in the vicinity of the second order…

High Energy Physics - Lattice · Physics 2008-11-26 K. Huebner , F. Karsch , C. Pica

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

Within the framework of exact renormalization group flow equations, a scale-dependent transformation of the field variables provides for a continuous translation of UV to IR degrees of freedom. Using the gauged NJL model as an example, this…

High Energy Physics - Phenomenology · Physics 2007-05-23 Holger Gies , Christof Wetterich

We illustrate how the reorganization of perturbation theory at finite temperature can be economically cast in terms of the Wilson-Polchinski renormalization methods. We take as an example the old saw of the induced thermal mass of a hot…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Marini , C. P. Burgess

We investigate the renormalization group flows of multicomponent scalar theories with $U(1)$ gauge symmetry using the functional renormalization group method. The scalar sector is built up from traces of matrix fields that belong to simple,…

High Energy Physics - Phenomenology · Physics 2019-08-28 G. Fejos , T. Hatsuda

It is shown that exact renormalization group (RG) equations (including rescaling and field-renormalization) for respectively the scale-dependent full action $S[\phi,t]$ and the scale-dependent full effective action $\Gamma[\Phi,t]$ --in…

High Energy Physics - Theory · Physics 2014-05-06 C. Bervillier

We have studied a Fermi system with attractive $U(r)$-symmetric interaction at the finite temperatures by the quantum field renormalization group (RG) method. The RG functions have been calculated in the framework of dimensional…

Statistical Mechanics · Physics 2016-03-23 G. A. Kalagov , M. V. Kompaniets , M. Yu. Nalimov

The functional renormalisation group is employed to study the non-linear regime of late-time cosmic structure formation. This framework naturally allows for non-perturbative approximation schemes, usually guided by underlying symmetries or…

Cosmology and Nongalactic Astrophysics · Physics 2022-01-10 Alaric Erschfeld , Stefan Floerchinger
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