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A class of scalar models with non-polynomial interaction, which naturally admits an analytical resummation of the series of tadpole diagrams is studied in perturbation theory. In particular, we focus on a model containing only one…

High Energy Physics - Theory · Physics 2023-07-13 Andrea Santonocito , Dario Zappala

We study the $q$-state Potts models on a cubic lattice in the thermodynamic limit using tensor renormalization group transformations with the triad approximation. By computing the thermodynamic potentials, we locate the first-order phase…

High Energy Physics - Lattice · Physics 2022-01-07 Raghav G. Jha

We propose and study a renormalization group transformation that can be used also for models with strong quenched disorder, like spin glasses. The method is based on a mapping between disorder distributions, chosen such as to keep some…

Disordered Systems and Neural Networks · Physics 2013-04-30 Maria Chiara Angelini , Giorgio Parisi , Federico Ricci-Tersenghi

We study the one-loop renormalization of self-interacting massless fields in the $(1,0)\oplus(0,1)$ representation of the Restricted Lorentz Group. We work with a general model that represents the entire class of parity-invariant…

High Energy Physics - Theory · Physics 2025-12-04 Armando de la C. Rangel-Pantoja , M. Napsuciale , Carlos A. Vaquera-Araujo

We studied the correlated quasi-one-dimensional systems by one-loop renormalization group techniques in weak coupling. In contrast to conventional g-ology approach, we formulate the theory in terms of bilinear currents and obtain all…

Strongly Correlated Electrons · Physics 2009-11-11 Ming-Shyang Chang , Wei Chen , Hsiu-Hau Lin

The next-to-leading order (NLO) Standard Model Effective Field Theory (SMEFT) renormalization group equations are needed to account for phenomenologically relevant operator mixing and ensure renormalization scale independence in NLO…

High Energy Physics - Phenomenology · Physics 2026-03-19 Lukas Born , Javier Fuentes-Martín , Anders Eller Thomsen

Folding of the triangular lattice in a discrete three-dimensional space is investigated numerically. Such ``discrete folding'' has come under through theoretical investigation, since Bowick and co-worker introduced it as a simplified model…

Statistical Mechanics · Physics 2009-11-10 Yoshihiro Nishiyama

The renormalization of entanglement entropy of quantum field theories is investigated in the simplest setting with a $\lambda \phi^4$ scalar field theory. The 3+1 dimensional spacetime is separated into two regions by an infinitely flat…

High Energy Physics - Theory · Physics 2017-09-19 Jiunn-Wei Chen , Jin-Yi Pang

We compute the two-loop renormalization group equations for all soft supersymmetry-breaking couplings in a general softly broken N=1 supersymmetric model. We also specialize these results to the Minimal Supersymmetric Standard Model.

High Energy Physics - Phenomenology · Physics 2014-11-17 Stephen P. Martin , Michael T. Vaughn

A block spin renormalization group approach is proposed for the dynamical triangulation formulation of quantum gravity in arbitrary dimensions. Renormalization group flow diagrams are presented for the three-dimensional and four-dimensional…

High Energy Physics - Lattice · Physics 2009-10-28 Ray L. Renken

A simple phenomenological real-space renormalization group method for quantum Heisenberg spins with nearest and next nearest neighbour interactions on a pyrochlore lattice is presented. Assuming a scaling law for the order parameter of two…

Statistical Mechanics · Physics 2013-09-18 Angel J. Garcia-Adeva

We examine the renormalization group flow in the vicinity of the free-field fixed point for effective field theories in the presence of a constant, nondynamical vector potential background. The interaction with this vector potential…

High Energy Physics - Theory · Physics 2010-04-05 B. Altschul

A new symmetry-preserving loop regularization method proposed in \cite{ylw} is further investigated. It is found that its prescription can be understood by introducing a regulating distribution function to the proper-time formalism of…

High Energy Physics - Theory · Physics 2009-11-10 Yue-Liang Wu

The influence of nonequilibrium initial values of the order parameter on its evolution at a critical point is described using a renormalization group approach of the field theory. The dynamic critical exponent $\theta'$ of the short time…

Statistical Mechanics · Physics 2010-05-28 P. V. Prudnikov , V. V. Prudnikov , I. A. Kalashnikov

We systematically explore the self-assembly of semi-flexible polymers in deformable spherical confinement across a wide regime of chain stiffness, contour lengths and packing fractions by means of coarse-grained molecular dynamics…

Soft Condensed Matter · Physics 2021-07-12 Maxime M. C. Tortora , Daniel Jost

This thesis focuses on renormalization of quantum field theories. Its first part considers three tensor models in three dimensions, a Fermionic quartic with tensors of rank-3 and two Bosonic sextic, of ranks 3 and 5. We rely upon the…

High Energy Physics - Theory · Physics 2020-10-16 Nicolas Delporte

We present a minimal dynamical model for randomly branched isotropic polymers, and we study this model in the framework of renormalized field theory. For the swollen phase, we show that our model provides a route to understand the well…

Statistical Mechanics · Physics 2015-05-27 Hans-Karl Janssen , Olaf Stenull

We study the regularization and renormalization of a finite range inverse cube potential in the two- and three-body sectors. Specifically, we compare and contrast three different regulation schemes frequently used to study few-body systems…

Nuclear Theory · Physics 2019-11-13 Daniel Odell , Arnoldas Deltuva , Jose Bonilla , Lucas Platter

This is a survey on the current status of the study of finite type invariants of integral homology 3-spheres based on lectures given in the workshop on knot theory at Banach International Center of Mathematics, Warsaw, July 1995. As a new…

q-alg · Mathematics 2008-02-03 Xiao-Song Lin

Various uses of the renormalization group are examined.

High Energy Physics - Theory · Physics 2011-12-20 D. G. C. McKeon