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In supersymmetric quantum electrodynamics there is the exact relation between the expressed through the unrenormalized coupling gauge beta-function and the anomalous dimension of matter superfields. In the present report we describe the…

High Energy Physics - Theory · Physics 2019-12-30 I. O. Goriachuk , A. L. Kataev

We prove that $\be$-function of the gauge coupling in $2+1D$ gauge theory coupled to any renormalizable system of spinor and scalar fields is zero. This result holds both when the gauge field action is the Chern-Simons action and when it is…

High Energy Physics - Theory · Physics 2015-06-26 A. N. Kapustin , P. I. Pronin

Decoupling via the Similarity Renormalization Group (SRG) of low-energy nuclear physics from high-energy details of the nucleon-nucleon interaction is examined for two-body observables and few-body binding energies. The universal nature of…

Nuclear Theory · Physics 2008-11-26 E. D. Jurgenson , S. K. Bogner , R. J. Furnstahl , R. J. Perry

By making a renormalization group analysis we explore the possibility of having a 331 model as the only intermediate gauge group between the standard model and the scale of unification of the three coupling constants. We shall assume that…

High Energy Physics - Phenomenology · Physics 2008-11-26 Rodolfo A. Diaz , D. Gallego , R. Martinez

Coupling constant renormalization is investigated in 2 dimensional sigma models related by non Abelian duality transformations. In this respect it is shown that in the one loop order of perturbation theory the duals of a one parameter…

High Energy Physics - Theory · Physics 2009-10-30 L. K. Balázs , J. Balog , P. Forgács , N. Mohammedi , L. Palla , J. Schnittger

Regularization and renormalization is discussed in the context of low-energy effective field theory treatments of two or more heavy particles (such as nucleons). It is desirable to regulate the contact interactions from the outset by…

Nuclear Theory · Physics 2008-11-26 Thomas D. Cohen

We consider logarithmic contributions to the free energy, instanton effective action and Laplace sum rules in QCD that are a consequence of radiative corrections. Upon summing these contributions by using the renormalization group, all…

High Energy Physics - Phenomenology · Physics 2017-06-16 F. A. Chishtie , D. G. C. McKeon

Two approaches to renormalization-group improvement are examined: the substitution of the solutions of running couplings, masses and fields into perturbatively computed quantities is compared with the systematic sum of all the leading log…

High Energy Physics - Theory · Physics 2008-11-26 F. A. Chishtie , V. Elias , R. B. Mann , D. G. C. McKeon , T. G. Steele

For supersymmetric gauge theories a consistent regularization scheme that preserves supersymmetry and gauge invariance is not known. In this article we tackle this problem for supersymmetric QED within the framework of algebraic…

High Energy Physics - Phenomenology · Physics 2011-09-13 W. Hollik , E. Kraus , D. Stöckinger

Even though the one-dimensional contact interaction requires no regularization, renormalization methods have been shown to improve the convergence of numerical ab initio calculations considerably. In this work, we compare and contrast these…

In this paper, we study renormalization, that is, the procedure for eliminating singularities, for a special model using both combinatorial techniques in the framework of working with formal series, and using a limit transition in a…

Mathematical Physics · Physics 2025-08-26 A. V. Ivanov

We consider the model of a massless charged scalar field, in (2+1) dimensions, with a self interaction of the form $lambda (\phi^* \phi)^3$ and interacting with a Chern Simons field. We calculate the renormalization group $\beta$ functions…

High Energy Physics - Theory · Physics 2008-11-26 V. S. Alves , M. Gomes , S. L. V. Pinheiro , A. J. da Silva

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 renormalization group is used to resum leading logarithmic contributions of the form alpha_s^{n+1} beta_0^n log^n (Delta/mu) to the gap equation appropriate for high density QCD. The scale dependence of the strong coupling constant…

Nuclear Theory · Physics 2009-11-06 Silas R. Beane , Paulo F. Bedaque , Martin J. Savage

We describe the equivalence at one loop between constrained differential renormalization and regularization by dimensional reduction in the MS scheme. To illustrate it, we reexamine the calculation of supergravity corrections to (g-2)_l.

High Energy Physics - Phenomenology · Physics 2007-05-23 F. del Aguila , M. Perez-Victoria

A class of exact infinitesimal renormalization group transformations is proposed and studied. These transformations are pure changes of variables (i.e., no integration or elimination of some degrees of freedom is required) such that a…

High Energy Physics - Theory · Physics 2017-11-08 Ariel Caticha

Techniques based on $n$-particle irreducible effective actions can be used to study systems where perturbation theory does not apply. The main advantage, relative to other non-perturbative continuum methods, is that the hierarchy of…

High Energy Physics - Theory · Physics 2019-04-10 M. E. Carrington , S. A. Friesen , C. D. Phillips , D. Pickering

In 4d lattice simulations of Standard Model like theories, the renormalized gauge coupling in the broken phase can be determined from the prefactor of the Yukawa term in the static potential. We compute the same quantity in terms of the…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Laine

Correlators describing the vulcanization transition are constructed and explored via a renormalization group approach. This approach is based on a minimal model that accounts for the thermal motion of constituents and the quenched random…

Disordered Systems and Neural Networks · Physics 2007-05-23 Weiqun Peng , Paul M. Goldbart

We compute the electroweak S and T parameters induced by SU(2)_L triplet scalars up to one-loop order. We consider the most general renormalizable potential for a triplet and the Standard Model Higgs doublet. Our calculation is performed by…

High Energy Physics - Phenomenology · Physics 2013-05-30 Zuhair U. Khandker , Daliang Li , Witold Skiba
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