Renormalization-group analysis for low-energy scattering of charged particles

2008 ◽  
Vol 78 (2) ◽  
Author(s):  
Shung-ichi Ando ◽  
Michael C. Birse
Keyword(s):  
Renormalization Group ◽  
Group Analysis ◽  
Charged Particles ◽  
Low Energy ◽  
Renormalization Group Analysis ◽  
Energy Scattering

scholarly journals RENORMALIZATION-GROUP ANALYSIS FOR LOW-ENERGY SCATTERING OF CHARGED PARTICLES

2009 ◽  
Vol 24 (11n13) ◽  
pp. 937-940 ◽  
Author(s):  
S. ANDO ◽  
M. C. BIRSE
Keyword(s):  
Renormalization Group ◽  
Group Analysis ◽  
Charged Particles ◽  
Dimensional Regularization ◽  
Low Energy ◽  
Renormalization Group Analysis ◽  
Energy Scattering ◽  
Energy Dependent

We outline our renormalization-group analysis for low-energy scattering two charged particles. This uses dimensional regularization and extends previous analyses by including both momentum- and energy-dependent perturbations.

scholarly journals SO(10) grand unification in light of recent LHC searches and colored scalars at the TeV-scale

2016 ◽  
Vol 31 (08) ◽  
pp. 1650034 ◽  
Author(s):  
Ufuk Aydemir
Keyword(s):  
Renormalization Group ◽  
Group Analysis ◽  
Gauge Coupling ◽  
High Energy ◽  
Low Energy ◽  
Grand Unification ◽  
Renormalization Group Analysis ◽  
Low Energies ◽  
Light Color ◽  
Extended Survival

We analyze the compatibility of the recent LHC signals and the TeV-scale left–right model(s) in the minimal nonsupersymmetric SO(10) framework. We show that the models in which the Higgs content is selected based on the extended survival hypothesis do not allow the [Formula: see text] boson to be at the TeV-scale. By relaxing this conjecture, we investigate various scenarios where a number of colored-scalars, originated from various Pati–Salam multiplets, are light and whence they survive down to the low energies. Performing a detailed renormalization group analysis with various low-energy Higgs configurations and symmetry breaking chains, while keeping the high energy Higgs content unmodified; we find that, among a number of possibilities, the models which have a light color-triplet scalar, and its combination with a light color-sextet, particularly stand out. Although these models do allow a TeV-scale [Formula: see text] boson, generating the required value of the gauge coupling [Formula: see text] at this scale is nontrivial.

scholarly journals Renormalization group aspects of graphene

2011 ◽  
Vol 369 (1946) ◽  
pp. 2625-2642 ◽  
Author(s):  
María A. H. Vozmediano
Keyword(s):  
Renormalization Group ◽  
Group Analysis ◽  
Low Energy ◽  
Morphological Properties ◽  
Renormalization Group Analysis ◽  
Free Model ◽  
Clean System ◽  
Dimensional Crystal ◽  
Dirac Hamiltonian ◽  
Energy Physics

Graphene is a two-dimensional crystal of carbon atoms with fascinating electronic and morphological properties. The low-energy excitations of the neutral, clean system are described by a massless Dirac Hamiltonian in (2+1) dimensions, which also captures the main electronic and transport properties. A renormalization group analysis sheds light on the success of the free model: owing to the special form of the Fermi surface that reduces to two single points in momentum space, short-range interactions are irrelevant and only gauge interactions such as long-range Coulomb or effective disorder can play a role in the low-energy physics. We review these features and briefly discuss other aspects related to disorder and to the bilayer material along the same lines.

Sign in / Sign up

Export Citation Format

Share Document