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In this paper the stability and the renormalizability of Yang-Mills theory in the Background Field Gauge are studied. By means of Ward Identities of Background gauge invariance and Slavnov-Taylor Identities the stability of the classical…

高能物理 - 理论 · 物理学 2009-10-28 Pietro Antonio Grassi

In these notes the exact renormalization group formulation of the scalar theory is briefly reviewed. This regularization scheme is then applied to supersymmetric theories. In case of a supersymmetric gauge theory it is also shown how to…

高能物理 - 理论 · 物理学 2007-05-23 Federica Vian

The Master Ward Identity (MWI) gives a universal formulation of the symmetries of a classical field theory. It is a renormalization condition for the time ordered products of the corresponding quantum field theory. We show that the MWI for…

数学物理 · 物理学 2021-03-10 Luis Peters

Exact Renormalization Group techniques are applied to supersymmetric models in order to get some insights into the low energy effective actions of such theories. Starting from the ultra-violet finite mass deformed N=4 supersymmetric…

高能物理 - 理论 · 物理学 2014-11-18 S. Arnone , S. Chiantese , K. Yoshida

A manifestly invariant renormalization scheme of N=1 nonabelian supersymmetric gauge theories is proposed.

高能物理 - 理论 · 物理学 2009-11-10 A. A. Slavnov , K. V. Stepanyantz

A reformulation of the superconformal Ward identities that combines all the superconformal currents and the associated parameters in one multiplet is given for theories with rigid N=1 or N=2 supersymmetry. This form of the Ward Identities…

高能物理 - 理论 · 物理学 2009-10-30 P. S. Howe , P. C. West

With the introduction of shadow fields, we demonstrate the renormalizability of the N=4 super-Yang--Mills theory in component formalism, independently of the choice of UV regularization. Remarkably, by using twisted representations, one…

高能物理 - 理论 · 物理学 2008-11-26 Laurent Baulieu , Guillaume Bossard , Silvio Paolo Sorella

In these lectures I present a basic introduction to supersymmetry, especially to N=1 supersymmetric gauge theories and their renormalization, in the Wess-Zumino gauge. I also discuss the various ways supersymmetry may be broken in order to…

高能物理 - 理论 · 物理学 2007-05-23 Olivier Piguet

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…

高能物理 - 唯象学 · 物理学 2011-09-13 W. Hollik , E. Kraus , D. Stöckinger

In numerical investigations of supersymmetric Yang-Mills theory on a lattice, the supersymmetric Ward identities are valuable for finding the critical value of the hopping parameter and for examining the size of supersymmetry breaking by…

高能物理 - 格点 · 物理学 2018-06-21 Sajid Ali , Georg Bergner , Henning Gerber , Istvan Montvay , Gernot Münster , Stefano Piemonte , Philipp Scior

In the present work, multiplicative renormalization \cite{dixon} for Yang-Mills theories is reviewed. While this subject is not new, it is suggested that a clear understanding of these methods leads to a systematic way for interpreting the…

高能物理 - 理论 · 物理学 2025-06-10 Osvaldo Santillán , Alejandro Morano

Gauge symmetries emerge from a redundant description of the effective action for light degrees of freedom after the decoupling of heavy modes. This redundant description avoids the use of explicit constraints in configuration space. For…

高能物理 - 理论 · 物理学 2017-01-04 C. Wetterich

Evaluating quantum loop corrections to curvature perturbations in non-attractor inflation presents theoretical ambiguities. A crucial aspect of this challenge lies in the unconstrained finite contributions in renormalization counterterms…

广义相对论与量子宇宙学 · 物理学 2026-05-14 Cheng-Jun Fang , Zong-Kuan Guo

The non-renormalization theorem of chiral vertices and the generalized non-renormalization theorem of the photon self energy are derived in SQED on the basis of algebraic renormalization. For this purpose the gauge coupling is extended to…

高能物理 - 理论 · 物理学 2009-11-07 E. Kraus , D. Stöckinger

In this talk the gauge symmetry for Wilsonian flows in pure Yang-Mills theories is discussed. The background field formalism is used for the construction of a gauge invariant effective action. The symmetries of the effective action under…

高能物理 - 理论 · 物理学 2009-11-07 F. Freire , D. F. Litim , J. M. Pawlowski

W_4 gravity is treated algebraically, represented by a set of transformations on classical fields. The Ward identities of the theory are determined by requiring the algebra to close. The general forms for the anomalies are found by looking…

高能物理 - 理论 · 物理学 2009-10-31 Paul Watts

A manifestly gauge invariant exact renormalization group for pure SU(N) Yang-Mills theory is proposed, allowing gauge invariant calculations, without any gauge fixing or ghosts. The necessary gauge invariant regularisation which implements…

高能物理 - 理论 · 物理学 2007-05-23 Stefano Arnone , Antonio Gatti , Tim R. Morris

We present a novel, manifestly Lorentz-invariant, polynomial, and straightforwardly quantisable action for duality-symmetric gauge theories formulated using gauge potentials. Central to our construction is the identification of a harmonic…

高能物理 - 理论 · 物理学 2025-12-01 Subhroneel Chakrabarti , Arkajyoti Manna , Madhusudhan Raman

We reconsider the renormalizability of topological Yang-Mills field theories in (anti-)self-dual Landau gauges. By employing algebraic renormalization techniques we show that there is only one independent renormalization. Moreover, due to…

高能物理 - 理论 · 物理学 2017-11-01 O. C. Junqueira , A. D. Pereira , G. Sadovski , R. F. Sobreiro , A. A. Tomaz

Soft theorems can be recast as Ward identities of asymptotic symmetries. We review such relation for the leading and subleading soft graviton theorems in arbitrary even dimensions. While soft theorems are trivially generalized to dimensions…

高能物理 - 理论 · 物理学 2022-11-30 Stefano Lionetti