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We consider some typical gauge models in the causal approach: Yang-Mills and pure massless gravity up to the second order of the perturbation theory. We prove that the loop contributions are coboundaries, up to super-renormalizable terms in…

高能物理 - 理论 · 物理学 2013-01-15 Dan-Radu Grigore

We study the soft breaking of N=2 self-dual gauge theories down to N=0 by promoting the coupling constant and hypermultiplet masses to spurions, and we analyze the microscopic duality symmetry in the resulting models. Explicit formulae are…

高能物理 - 理论 · 物理学 2009-10-31 Marcos Marino , Frederic Zamora

We show how to consistently renormalize $\mathcal{N} = 1$ and $\mathcal{N} = 2$ super-Yang-Mills theories in flat space with a local (i.e. space-time-dependent) renormalization scale in a holomorphic scheme. The action gets enhanced by a…

高能物理 - 理论 · 物理学 2016-05-25 Marc Gillioz

A search for supersymmetry anomalies requires an examination of the BRS cohomology of supersymmetric Yang-Mills coupled to chiral matter, and the physically interesting (on-shell) anomalies are those which cannot be eliminated using the…

高能物理 - 唯象学 · 物理学 2007-05-23 J. A. Dixon

We study the extent to which the gauge symmetry of abelian Yang-Mills can be deformed under two conditions: first, that the deformation depend on a two-form scale. Second, that the deformation preserve supersymmetry. We show that (up to a…

高能物理 - 理论 · 物理学 2009-11-07 Sonia Paban , Savdeep Sethi , Mark Stern

Considering three-dimensional Chern-Simons theory, either coupled to matter or with a Yang-Mills term, we show the validity of a trace identity, playing the role of a local form of the Callan-Symanzik equation, in all orders of perturbation…

高能物理 - 理论 · 物理学 2015-06-26 Oswaldo M. Del Cima , Daniel H. T. Franco , Jose A. Helayel-Neto , Olivier Piguet

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

We study a supersymmetry breaking mechanism in the context of a minimal anomalous extension of the MSSM. The anomaly cancellation mechanism is achieved through suitable counterterms in the effective action, i.e. Green-Schwarz terms. We…

高能物理 - 唯象学 · 物理学 2012-08-20 A. Lionetto , A. Racioppi

In this work we study the main properties and the one-loop renormalization of a Yang-Mills theory in which the kinetic term contains also a fourth-order differential operator; in particular, we add to the Yang-Mills Lagrangian the most…

高能物理 - 理论 · 物理学 2017-11-13 Lorenzo Casarin

We revisit supersymmetric nonlinear sigma models on the target manifold $CP^{N-1}$ and $SO(N)/SO(N-2)\times U(1)$ in four dimensions. These models are formulated as gauged linear models, but it is indicated that the Wess-Zumino term should…

高能物理 - 理论 · 物理学 2020-09-16 Aya Kondo , Tomohiko Takahashi

We give a new way of looking at the Cho--Faddeev--Niemi (CFN) decomposition of the Yang-Mills theory to answer how the enlarged local gauge symmetry respected by the CFN variables is restricted to obtain another Yang-Mills theory with the…

高能物理 - 理论 · 物理学 2009-11-11 K. -I. Kondo , T. Murakami , T. Shinohara

We investigate the renormalization group flows and fixed point structure of many coupled minimal models. The models are coupled two by two by energy-energy couplings. We take the general approach where the bare couplings are all taken to be…

统计力学 · 物理学 2011-07-19 M. -A. Lewis , P. Simon

In the paper, within the background field method, the renormalization and the gauge dependence is studied as for an SU(2) Yang-Mills theory with multiplets of spinor and scalar fields. By extending the quantum action of the BV-formalism…

高能物理 - 理论 · 物理学 2019-07-31 Igor A. Batalin , Peter M. Lavrov , Igor V. Tyutin

The quantum Yang-Mills theory, describing a system of fields with non-dual (chromo-electric g) and dual (chromo-magnetic \tilde g) charges and revealing the generalized dual symmetry, is developed by analogy with the Zwanziger formalism in…

高能物理 - 唯象学 · 物理学 2010-05-27 C. R. Das , L. V. Laperashvili , H. B. Nielsen

We discuss local \R-symmetry as a potentially powerful new model building tool. We first review and clarify that a $U(1)$ \R-symmetry can only be gauged in local and not in global supersymmetry. We determine the anomaly-cancellation…

高能物理 - 唯象学 · 物理学 2011-02-19 A. H. Chamseddine , Herbi Dreiner

We study the quantum properties of a Galilean-invariant abelian gauge theory coupled to a Schr\"odinger scalar in 2+1 dimensions. At the classical level, the theory with minimal coupling is obtained from a null-reduction of relativistic…

高能物理 - 理论 · 物理学 2021-03-17 Shira Chapman , Lorenzo Di Pietro , Kevin T. Grosvenor , Ziqi Yan

Supersymmetry on the lattice is explicitly broken by the gluino mass and lattice artifacts. However, it can be restored in the continuum limit by fine tuning the parameters based on the renormalized Ward identities. On the renormalization…

高能物理 - 格点 · 物理学 2022-12-21 Georg Bergner , Marios Costa , Haralambos Panagopoulos , Stefano Piemonte , Ivan Soler , Gregoris Spanoudes

We identify a non-local symmetry for Yang-Mills theories in 1+1 and 2+1 spacetime dimensions. The symmetry mixes a vector current with the gauge field. The current involved in the symmetry is required to satisfy certain constraints. The…

高能物理 - 理论 · 物理学 2015-06-03 Abhishek Agarwal , Ansar Fayyazuddin

Localization methods have recently led to a plethora of new exact results in supersymmetric gauge theories, as certain observables may be computed in terms of matrix integrals. These can then be evaluated by making use of standard large N…

高能物理 - 理论 · 物理学 2015-01-20 Inês Aniceto , Jorge G. Russo , Ricardo Schiappa

The conditions for fully supersymmetric backgrounds of general N=2 locally supersymmetric theories are derived based on the off-shell superconformal multiplet calculus. This enables the derivation of a non-renormalization theorem for a…

高能物理 - 理论 · 物理学 2015-06-18 Daniel Butter , Bernard de Wit , Ivano Lodato