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The truncation scheme dependence of the exact renormalization group equations is investigated for scalar field theories in three dimensions. The exponents are numerically estimated to the next-to-leading order of the derivative expansion.…

High Energy Physics - Theory · Physics 2009-10-31 Ken-Ichi Aoki , Keiichi Morikawa , Wataru Souma , Jun-Ichi Sumi , Haruhiko Terao

We apply the derivative expansion of the effective action in the exact renormalization group equation up to fourth order to the $Z_2$ and $O(N)$ symmetric scalar models in $d=3$ Euclidean dimensions. We compute the critical exponents $\nu$,…

High Energy Physics - Theory · Physics 2021-03-31 Zoltán Péli

We study the effective potential of a real scalar phi^4 theory as a function of the temperature T within the simplest Phi-derivable approximation, namely the Hartree approximation. We apply renormalization at a "high" temperature T* where…

High Energy Physics - Phenomenology · Physics 2015-03-19 Urko Reinosa , Zsolt Szep

We report on a high statistics numerical study of the crystalline random surface model with extrinsic curvature on lattices of up to $64^2$ points. The critical exponents at the crumpling transition are determined by a number of methods all…

High Energy Physics - Lattice · Physics 2016-08-31 J. F. Wheater

According to the available publications, the field theoretical renormalization group (RG) approach in the two-dimensional case gives the critical exponents that differ from the known exact values. This fact was attempted to explain by the…

Statistical Mechanics · Physics 2009-11-13 A. A. Pogorelov , I. M. Suslov

We present an improved scheme for the precise evaluation of finite-temperature response functions of strongly correlated systems in the framework of the time-dependent density matrix renormalization group. The maximum times that we can…

Strongly Correlated Electrons · Physics 2012-12-17 Thomas Barthel , Ulrich Schollwöck , Subir Sachdev

A fundamental issue in the renormalization-group (RG) theory of critical phenomena concerns the allowed values of critical exponents that are consistent with the continuous nature of a phase transition. Here we conjecture a lower bound for…

Statistical Mechanics · Physics 2026-03-11 Andrea Pelissetto , Ettore Vicari

The scaling behaviour of euclidean quantum gravity at an asymptotically safe critical point is studied by means of the exact renormalisation group. Gauge independence is ensured via a specific parameterisation of metric fluctuations…

High Energy Physics - Theory · Physics 2015-11-17 Kevin Falls

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

We derive a supersymmetric renormalization group (RG) equation for the scale-dependent superpotential of the supersymmetric O(N) model in three dimensions. For a supersymmetric optimized regulator function we solve the RG equation for the…

High Energy Physics - Theory · Physics 2013-05-29 Daniel F. Litim , Marianne C. Mastaler , Franziska Synatschke-Czerwonka , Andreas Wipf

In the framework of the renormalization-group theory of critical phenomena, a quantitative description of many continuous phase transitions can be obtained by considering an effective $\Phi^4$ theories, having an N-component fundamental…

Statistical Mechanics · Physics 2009-11-11 Ettore Vicari , Jean Zinn-Justin

We study conformal field theories with finite group symmetries with spontaneous symmetry breaking (SSB) phases that persist at all temperatures. We work with two $\lambda \phi^4$ theories coupled through their mass terms. The two $\lambda…

High Energy Physics - Theory · Physics 2023-06-22 Pedro Liendo , Junchen Rong , Haoyu Zhang

A self-consistent renormalization scheme at finite temperature and zero momentum is used together with the finite temperature renormalization group to study the temperature dependence of the mass and the coupling to one-loop order in the…

High Energy Physics - Phenomenology · Physics 2009-10-22 Per Elmfors

The infrared behaviour of a non-mean field spin-glass system is analysed, and the critical exponent related to the divergence of the correlation length is computed at two loops within the epsilon-expansion technique with two independent…

Disordered Systems and Neural Networks · Physics 2014-09-12 Michele Castellana , Giorgio Parisi

The locality of field theories strongly constrains the possible behaviors of symmetry-twisted partition functions, and thus they serve as order parameters to detect low-energy realizations of global symmetries, such as spontaneous symmetry…

High Energy Physics - Lattice · Physics 2026-04-06 Shinichiro Akiyama , Raghav G. Jha , Jun Maeda , Yuya Tanizaki , Judah Unmuth-Yockey

The perturbative approach to the description of long wavelength excitations at high temperature breaks down near the critical point of a second order phase transition. We study the \emph{dynamics} of these excitations in a relativistic…

High Energy Physics - Phenomenology · Physics 2016-09-06 D. Boyanovsky , H. J. de Vega

In this paper we discuss and revisit the finite temperature extension of the renormalization group (RG) treatment of $T=0$ field theories, focusing as a case study on the $\phi^4$ model. We first discuss the extension of RG equations of the…

High Energy Physics - Theory · Physics 2025-10-17 István Gábor Márián , Andrea Trombettoni , István Nándori

We compute the radiative quantum corrections to the critical exponents and amplitude ratios for O($N$) $\lambda\phi^{4}$ scalar high energy nonextensive $q$-field theories. We employ the field theoretic renormalization group approach…

High Energy Physics - Theory · Physics 2019-10-03 P. R. S. Carvalho

We start by discussing some theoretical issues of renormalization group transformations and Monte Carlo renormalization group technique. A method to compute the anomalous dimension is proposed and investigated. As an application, we find…

High Energy Physics - Lattice · Physics 2009-10-30 Alex Travesset

The critical behavior of two-dimensional $n$-vector $\lambda\phi^4$ field model is studied within the framework of pseudo-$\epsilon$ expansion approach. Pseudo-$\epsilon$ expansions for Wilson fixed point location $g^*$ and critical…

Statistical Mechanics · Physics 2015-06-18 M. A. Nikitina , A. I. Sokolov