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We show that regularization of gauge theories by higher covariant derivatives and gauge invariant Pauli-Villars regulators is a consistent method if the Pauli-Villars vector fields are considered in a covariant in the regulating…

高能物理 - 理论 · 物理学 2009-10-28 M. Asorey , F. Falceto

For the general renormalizable N=1 supersymmetric Yang--Mills theory, regularized by higher covariant derivatives, a two-loop beta-function is calculated. It is shown that all integrals, needed for obtaining this function, can be easily…

高能物理 - 理论 · 物理学 2014-11-20 A. B. Pimenov , E. S. Shevtsova , K. V. Stepanyantz

All one-loop renormalization constants for Non-Abelian gauge theory are computed in details by using the symmetry-preserving Loop Regularization method proposed in\cite{LR1,LR2}. The resulting renormalization constants are manifestly shown…

高能物理 - 唯象学 · 物理学 2008-11-26 Jian-Wei Cui , Yue-Liang Wu

Recent progress concerning regularization of supersymmetric theories is reviewed. Dimensional reduction is reformulated in a mathematically consistent way, and an elegant and general method is presented that allows to study the…

高能物理 - 唯象学 · 物理学 2007-05-23 Dominik Stöckinger

The three-loop Adler $D$-function for ${\cal N}=1$ SQCD in the $\overline{\mbox{DR}}$ scheme is calculated starting from the three-loop result recently obtained with the higher covariant derivative regularization. For this purpose, for the…

高能物理 - 理论 · 物理学 2019-05-01 S. S. Aleshin , A. L. Kataev , K. V. Stepanyantz

The behavior of the beta-function of the low-energy effective coupling in the N=2 supersymmetric SU(2) QCD with several massive matter hypermultiplets and in the SU(3) Yang-Mills theory is determined near the superconformal points in the…

高能物理 - 理论 · 物理学 2009-10-30 Takahiro Kubota , Naoto Yokoi

Recent developments in higher order calculations within the framework of Dimensional Reduction, the preferred regularization scheme for supersymmetric theories, are reported on. Special emphasis is put on the treatment of evanescent…

高能物理 - 唯象学 · 物理学 2007-06-21 Robert Harlander , Philipp Kant , Luminita Mihaila , Matthias Steinhauser

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…

高能物理 - 理论 · 物理学 2009-11-10 Yue-Liang Wu

We discuss higher loop corrections to gauge coupling renormalization in the context of gauge coupling unification via Kaluza-Klein thresholds. We show that in the case N=1 supersymmetric compactifications the one-loop threshold…

高能物理 - 理论 · 物理学 2014-11-18 Zurab Kakushadze , Tomasz R. Taylor

In the present work we investigate the Newtonian limit of higher-derivative gravity theories with more than four derivatives in the action, including the non-analytic logarithmic terms resulting from one-loop quantum corrections. The first…

广义相对论与量子宇宙学 · 物理学 2021-06-02 Nicolò Burzillà , Breno L. Giacchini , Tibério de Paula Netto , Leonardo Modesto

In this thesis we study two-dimensional supersymmetric non-linear sigma-models with boundaries. We derive the most general family of boundary conditions in the non-supersymmetric case. Next we show that no further conditions arise when…

高能物理 - 理论 · 物理学 2007-05-23 Stijn Nevens

A general formalism to construct and improve supercurrents and source or anomaly superfields in two-derivative N=1 supersymmetric theories is presented. It includes arbitrary gauge and chiral superfields and a linear superfield coupled to…

高能物理 - 理论 · 物理学 2017-01-11 Jean-Pierre Derendinger

We show that the renormalisation of the N=1 supersymmetric gauge theory when working in the component formalism, without eliminating auxiliary fields and using a standard covariant gauge, requires a non-linear renormalisation of the…

高能物理 - 理论 · 物理学 2009-11-11 I. Jack , D. R. T. Jones , L. A. Worthy

We consider the softly broken ${\cal N}=1$ supersymmetric electrodynamics, regularized by higher derivatives. For this theory we demonstrate that the renormalization of the photino mass is determined by integrals of double total derivatives…

高能物理 - 理论 · 物理学 2017-04-26 I. V. Nartsev , K. V. Stepanyantz

The radiative correction to beta function is comprehensively studied at 1 loop in the context of universal extra dimensions. Instead of using cutoffs to regularize 1-loop divergences, the dimensional regularization scheme is used. Large…

高能物理 - 唯象学 · 物理学 2020-07-01 M. Huerta-Leal , H. Novales-Sánchez , J. J. Toscano

By undertaking additional analyses postponed in a previous paper, we complete our construction of a manifestly supersymmetric gauge-covariant regularization of supersymmetric chiral gauge theories. We present the following: An evaluation of…

高能物理 - 理论 · 物理学 2009-10-31 Takuya Hayashi , Yoshihisa Ohshima , Kiyoshi Okuyama , Hiroshi Suzuki

We perform a detailed analysis of one-loop corrections to the self-energy of the (off-shell) gauge bosons in six-dimensional N=1 supersymmetric gauge theories on orbifolds. After discussing the Abelian case in the standard Feynman diagram…

高能物理 - 唯象学 · 物理学 2009-11-11 Dumitru M. Ghilencea , Hyun Min Lee , Kai Schmidt-Hoberg

We apply the functional renormalization group approach to a $\mathcal{N}=1$ supersymmetric gauge model with one chiral superfield coupled to a vector $U(1)$ superfield. We find that the nonrenormalization theorem still works at leading…

高能物理 - 理论 · 物理学 2023-02-22 Jeremy Echeverria , Maximiliano Binder , Ivan Schmidt

We investigate the connection between the NSVZ and the DRED forms of the gauge $\beta$-function in an $N=1$ supersymmetric gauge theory. We construct a coupling constant redefinition that relates the two forms up to four loops. By abelian…

高能物理 - 唯象学 · 物理学 2009-10-28 I. Jack , D. R. T. Jones , C. G. North

We extend to all orders in perturbation theory a method to calculate supersymmetry-breaking effects by analytic continuation of the renormalization group into superspace. A central observation is that the renormalized gauge coupling can be…

高能物理 - 唯象学 · 物理学 2009-10-31 N. Arkani-Hamed , G. F. Giudice , M. A. Luty , R. Rattazzi