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Related papers: N=2 SYM RG Scale as Modulus for WDVV Equations

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We present a new method for renormalisation group improvement of the effective potential of a quantum field theory with an arbitrary number of scalar fields. The method amounts to solving the renormalisation group equation for the effective…

High Energy Physics - Phenomenology · Physics 2018-03-12 Leonardo Chataignier , Tomislav Prokopec , Michael G. Schmidt , Bogumila Swiezewska

In this notes we shall describe the relation of a certain class of simple random curves arising in 2D statistical mechanics models in the scaling limit, which can be described dynamically by Stochastic L{\oe}wner Evolutions (SLE), and the…

High Energy Physics - Theory · Physics 2008-07-04 Roland M. Friedrich

We show how the synergy of scaling and non-overlapping global symmetries can lead to Renormalisation Group Invariants (RGIs) among the parameters of potentials with multiple scalars. The instrumental role of scale-invariant field directions…

High Energy Physics - Theory · Physics 2026-05-25 Apostolos Pilaftsis

We present the two-loop renormalization group (RG) calculations of all the susceptibilities associated with the two-dimensional flat Fermi surface with rounded corners (FS). Our approach follows our fermionic field theory RG method…

Superconductivity · Physics 2007-05-23 Eberth Correa , Hermann Freire , A. Ferraz

In the context of MSSM, a novel improving procedure based on the renormalization group equation is applied to the effective potential in the Higgs sector. We focus on the one-loop radiative corrections computed in Landau gauge by using the…

High Energy Physics - Phenomenology · Physics 2011-09-13 D. V. Gioutsos

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

The Standard Model can be defined quantitatively by running parameters in a mass-independent renormalization scheme at a fixed reference scale. We provide a set of simple interpolation formulas that give the fundamental Lagrangian…

High Energy Physics - Phenomenology · Physics 2023-02-08 Zamiul Alam , Stephen P. Martin

A recently developed variational resummation technique, incorporating renormalization group properties consistently, has been shown to solve the scale dependence problem that plagues the evaluation of thermodynamical quantities, e.g.,…

High Energy Physics - Phenomenology · Physics 2017-12-20 Gabriel N. Ferrari , Jean-Loic Kneur , Marcus B. Pinto , Rudnei O. Ramos

Classes of renormalizable models in the Tensorial Group Field Theory framework are investigated. The rank $d$ tensor fields are defined over $d$ copies of a group manifold $G_D=U(1)^D$ or $G_D= SU(2)^D$ with no symmetry and no gauge…

High Energy Physics - Theory · Physics 2013-06-06 Joseph Ben Geloun

It is explained how field-theoretic methods and the dynamic renormalisation group (RG) can be applied to study the universal scaling properties of systems that either undergo a continuous phase transition or display generic scale…

Statistical Mechanics · Physics 2011-03-28 Uwe C. Tauber

Using Wilsonian renormalization, we calculate the quantum correction to observable quantities, rather than the bare parameters, of the Higgs field. A physical parameter, such as a mass-squared or a quartic coupling, at an energy scale $\mu$…

High Energy Physics - Theory · Physics 2024-04-01 Kang-Sin Choi

The vNRQCD Lagrangian for colored heavy scalar fields in the fundamental representation of QCD and the renormalization group analysis of the corresponding operators are presented. The results are an important ingredient for renormalization…

High Energy Physics - Phenomenology · Physics 2009-11-11 Andre H. Hoang , Pedro Ruiz-Femenia

Quantum field theories containing scalar fields with equal quantum numbers allow for a mixed kinetic term in the Lagrangian. It has been argued that this mixing must be taken into consideration when performing renormalization group (RG)…

High Energy Physics - Phenomenology · Physics 2019-04-03 Johan Bijnens , Joel Oredsson , Johan Rathsman

The off-shell one-loop renormalization of a Higgs effective field theory possessing a scalar potential $\sim\left(\Phi^\dagger\Phi-\frac{v^2}2\right)^N$ with $N$ arbitrary is presented. This is achieved by renormalizing the theory once…

High Energy Physics - Theory · Physics 2018-04-18 Daniele Binosi , Andrea Quadri

We propose a renormalization group (RG) approach to compare and collapse eigenvalue densities of random matrix models of complex systems across different system sizes. The approach is to fix a natural spectral scale by letting the model…

Statistical Mechanics · Physics 2026-05-01 Philipp Fleig

We present a systematic weak-coupling renormalization group (RG) technique for studying a collection of $N$ coupled one-dimensional interacting electron systems, focusing on the example of N-leg Hubbard ladders. For $N=2,3$, we recover…

Strongly Correlated Electrons · Physics 2009-10-30 Hsiu-Hau Lin , Leon Balents , Matthew P. A. Fisher

The Standard MS renormalization prescription is inadequate for dealing with multi-scale problems. To illustrate this we consider the computation of the effective potential in the Higgs-Yukawa model. It is argued that it is natural to employ…

High Energy Physics - Theory · Physics 2009-10-30 C. Ford , C. Wiesendanger

We describe the on-shell method to deriving the Renormalization Group (RG) evolution of Wilson coefficients of high dimensional operators at one loop, which is a necessary part in the on-shell construction of the Standard Model Effective…

High Energy Physics - Phenomenology · Physics 2021-02-03 Minyuan Jiang , Teng Ma , Jing Shu

Renormalization group equations in a two-valley system with valley-splitting and intervalley scattering are derived in the presence of spin-splitting induced by a parallel magnetic field. The relevant amplitudes in different regimes set by…

Disordered Systems and Neural Networks · Physics 2015-05-19 Alexander Punnoose

$\lambda$-Scale is an enrichment of lambda calculus which is adapted to emergent algebras. It can be used therefore in metric spaces with dilations.

Logic in Computer Science · Computer Science 2012-05-25 Marius Buliga