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This paper follows the previous work on generalized abelian gauge field theory of higher-order derivatives under rotor model and extends the study to the most generalized non-abelian case. We find that the rotor mechanism from the abelian…

General Physics · Physics 2022-04-11 B. T. T. Wong

We consider the harmonic superspace formulation of higher-derivative $6D$, ${\cal N}=(1,0)$ supersymmetric gauge theory and its minimal coupling to a hypermultiplet. In components, the kinetic term for the gauge field in such a theory…

High Energy Physics - Theory · Physics 2021-02-03 I. L. Buchbinder , E. A. Ivanov , B. S. Merzlikin , K. V. Stepanyantz

We study to one-loop order the renormalization of QCD in the Coulomb gauge using the Hamitonian formalism. Divergences occur which might require counter-terms outside the Hamiltonian formalism, but they can be cancelled by a redefinition of…

High Energy Physics - Theory · Physics 2009-09-28 A. Andrasi , J. C. Taylor

The common lore dictates that extra dimensional theories loose predictive power at energies just above the compatification scale, due to the power-law running of bulk coupling. We show that five-dimensional gauge-Yukawa theories can be…

High Energy Physics - Theory · Physics 2026-01-05 Giacomo Cacciapaglia , Wanda Isnard , Roman Pasechnik , Anca Preda

We discuss the renormalization group in the context of gravitational theories with independent metric and affine connection. Considering a class of theories with both propagating torsion and nonmetricity, we perform an explicit computation…

High Energy Physics - Theory · Physics 2024-06-21 Oleg Melichev

A local gauge invariant infrared regularization for the Yang-Mills theory is constructed on the basis of a higher derivative formulation of the model.

High Energy Physics - Theory · Physics 2008-11-26 A. A. Slavnov

Diagrammatic rules are developed for simplifying two-loop QED diagrams with propagators in a constant self-dual background field. This diagrammatic analysis, using dimensional regularization, is used to explain how the fully renormalized…

High Energy Physics - Theory · Physics 2010-02-03 Gerald V. Dunne

The extension of coupling constants to space-time dependent fields, the local couplings, makes possible to derive the non-renormalization theorems of supersymmetry by an algebraic characterization of Lagrangian N=1 supermultiplets. For…

High Energy Physics - Theory · Physics 2007-05-23 Elisabeth Kraus

The problem of renormalization of the semiclassical one-loop equations used in the non-equilibrium field theory is considered. Recently, the renormalizability of such equations has been justified for some special cases of classical field…

High Energy Physics - Theory · Physics 2008-11-26 O. Yu. Shvedov

We study the six-dimensional $\cal{N}=(1,0)$ supersymmetric hypermultiplet model with arbitrary self-coupling. The model is considered in the external classical gauge superfield background. Using the harmonic superspace formulation we study…

High Energy Physics - Theory · Physics 2021-12-01 A. S. Budekhina , B. S. Merzlikin

We show the consistent interactions in the generalized electrodynamics gauge theory with higher derivative matter fields by means of the order reduction method. We deduce the BRST deformations in the reduced Lagrangian and using the…

High Energy Physics - Theory · Physics 2020-07-30 Jialiang Dai

The technique of one-loop calculations for the processes involving Reggeized quarks is described in the framework of gauge invariant effective field theory for the Multi-Regge limit of QCD, which has been introduced by Lipatov and…

High Energy Physics - Theory · Physics 2017-12-06 Maxim Nefedov , Vladimir Saleev

We continue to study an infinite-parametric family of gauge theories with an arbitrary function of the self-dual part of the field strength as the Lagrangian. The arising one-loop divergences are computed using the background field method.…

High Energy Physics - Theory · Physics 2015-06-23 Kirill Krasnov

In the context of Differential Renormalization, using Constrained Differential Renormalization rules at one loop, we show how to obtain concrete results in two loop calculations without making use of Ward identities. In order to do that, we…

High Energy Physics - Theory · Physics 2008-11-26 Cesar Seijas

The on-shell regularization of the one-loop divergences of supergravity theories is generalized to include a dilaton of the type occurring in effective field theories derived from superstring theory, and the superfield structure of the…

High Energy Physics - Theory · Physics 2014-11-18 Mary K. Gaillard

Hamilton equations based not only upon the Poincare--Cartan equivalent of a first-order Lagrangian, but rather upon its Lepagean equivalent are investigated. Lagrangians which are singular within the Hamilton--De Donder theory, but…

Mathematical Physics · Physics 2007-05-23 Olga Krupkova , Dana Smetanova

A light-like Wilson loop is computed in perturbation theory up to ${\cal O} (g^4)$ for pure Yang--Mills theory in 1+1 dimensions, using Feynman and light--cone gauges to check its gauge invariance. After dimensional regularization in…

High Energy Physics - Theory · Physics 2009-10-28 A. Bassetto , F. De Biasio , L. Griguolo

The one-loop divergences are calculated for the recently proposed ghost-free version of massive gravity, where the action depends on both metric and external tensor field f. The non-polynomial structure of the massive term is reduced to a…

High Energy Physics - Theory · Physics 2015-06-03 Ioseph L. Buchbinder , Dante D. Pereira , Ilya L. Shapiro

The massless QCD Lagrangian is conformally invariant and, as a consequence, so are the tree-level scattering amplitudes. However, the implications of this powerful symmetry at loop level are only beginning to be explored systematically.…

High Energy Physics - Theory · Physics 2020-03-18 Johannes Henn , Bláithín Power , Simone Zoia

We present the full calculation of the divergent one-loop contribution to the effective boson Lagrangian for supergravity, including the Yang-Mills sector and the helicity-odd operators that arise from integration over fermion fields. The…

High Energy Physics - Theory · Physics 2016-08-24 Mary K. Gaillard , Vidyut Jain , Kamran Saririan