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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…

High Energy Physics - Theory · Physics 2017-11-01 O. C. Junqueira , A. D. Pereira , G. Sadovski , R. F. Sobreiro , A. A. Tomaz

We derive Ward identities for the Standard Model Effective Field Theory using the background field method. The resulting symmetry constraints on the Standard Model Effective Field Theory are basis independent, and constrain the perturbative…

High Energy Physics - Phenomenology · Physics 2020-01-29 Tyler Corbett , Andreas Helset , Michael Trott

In this work we discuss a class of nonlinear covariant gauges for Yang-Mills theories which enjoy the property of being multiplicatively renormalizable to all orders. This property follows from the validity of a linearly broken identity,…

High Energy Physics - Theory · Physics 2008-11-26 V. E. R. Lemes , R. F. Sobreiro , S. P. Sorella

We prove that all tree-level amplitudes in pure (super-)gravity can be expressed as term-wise, gauge-invariant double-copies of those of pure (super-)Yang-Mills obtained via BCFW recursion. These representations are far from unique: varying…

High Energy Physics - Theory · Physics 2023-07-07 Jacob L. Bourjaily , Nikhil Kalyanapuram , Kokkimidis Patatoukos , Michael Plesser , Yaqi Zhang

In this paper, we propose a new algorithm to systematically determine the missing boundary contributions, when one uses the BCFW on-shell recursion relation to calculate tree amplitudes for general quantum field theories. After an…

High Energy Physics - Theory · Physics 2015-05-06 Bo Feng , Kang Zhou , Chenkai Qiao , Junjie Rao

We derive and study Yangian Ward identities for the infinite class of four-point ladder integrals and their Basso-Dixon generalisations. These symmetry equations follow from interpreting the respective Feynman integrals as correlation…

High Energy Physics - Theory · Physics 2022-04-28 Luke Corcoran , Florian Loebbert , Julian Miczajka

In this note we show how Ward identities may be derived for a quantum field theory dual of a string theory using the AdS/CFT correspondence. In particular associated with any gauge symmetry of the bulk supergravity theory there is a…

High Energy Physics - Theory · Physics 2009-10-31 Steven Corley

By using the recursion relations found in the framework of N=2 Super Yang-Mills theory with gauge group SU(2), we reconstruct the structure of the instanton moduli space and its volume form for all winding numbers. The construction is…

High Energy Physics - Theory · Physics 2011-07-19 Marco Matone

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…

High Energy Physics - Theory · Physics 2009-10-28 Pietro Antonio Grassi

In a recent paper [arXiv:1106.0166], boundary contributions in BCFW recursion relations have been related to roots of amplitudes. In this paper, we make several analyses regarding to this problem. Firstly, we use different ways to re-derive…

High Energy Physics - Theory · Physics 2011-11-09 Bo Feng , Yin Jia , Hui Luo , Mingxing Luo

We show that with suitable choices of parametrization, gauge fixing and cutoff, the anomalous variation of the effective action under global rescalings of the background metric is identical to the derivative with respect to the cutoff, i.e.…

High Energy Physics - Theory · Physics 2017-03-08 Roberto Percacci , Gian Paolo Vacca

Superconformal Ward identities are revisited in the context of superconformal line defects. Multipoint correlators of topological operators inserted on superconformal lines are studied. In particular, it is known that protected operators…

High Energy Physics - Theory · Physics 2024-05-28 Gabriel Bliard

The recently-developed "scalar-scaffolding" formulation of gluon amplitudes casts the Yang-Mills (YM) amplitude as a well-defined Laurent series expansion in scalar variables, valid for any spacetime dimension and helicity configuration. In…

High Energy Physics - Theory · Physics 2025-10-24 Jeffrey V. Backus

An intriguing new duality between planar MHV gluon amplitudes and light-like Wilson loops in N=4 super Yang-Mills is investigated. We extend previous checks of the duality by performing a two-loop calculation of the rectangular and…

High Energy Physics - Theory · Physics 2014-11-18 J. M. Henn

SUSY Ward identities for the N=1 SU(2) SUSY Yang-Mills theory are studied on the lattice in a non-perturbative numerical approach. As a result a determination of the subtracted gluino mass is obtained.

High Energy Physics - Lattice · Physics 2010-12-23 F. Farchioni , A. Feo , T. Galla , C. Gebert , R. Kirchner , I. Montvay , G. Münster , A. Vladikas

Supersymmetric (SUSY) Ward identities are considered for the N=1 SU(2) SUSY Yang Mills theory discretized on the lattice with Wilson fermions (gluinos). They are used in order to compute non-perturbatively a subtracted gluino mass and the…

High Energy Physics - Lattice · Physics 2008-11-26 F. Farchioni , A. Feo , T. Galla , C. Gebert , R. Kirchner , I. Montvay , G. Münster , A. Vladikas

We reconsider the algebraic BRS renormalization of Witten's topological Yang-Mills field theory by making use of a vector supersymmetry Ward identity which improves the finiteness properties of the model. The vector supersymmetric structure…

High Energy Physics - Theory · Physics 2009-10-28 A. Brandhuber , O. Moritsch , M. W. de Oliveira , O. Piguet , M. Schweda

Quantum properties of topological Yang-Mills theory in (anti-)self-dual Landau gauge were recently investigated by the authors. We extend the analysis of renormalizability for two generalized classes of gauges; each of them depending on one…

High Energy Physics - Theory · Physics 2018-12-03 O. C. Junqueira , A. D. Pereira , G. Sadovski , R. F. Sobreiro , A. A. Tomaz

We present a mechanism of gauge field localization on a domain wall within the framework of strongly coupled pure Yang-Mills theory.

High Energy Physics - Theory · Physics 2011-04-04 Archil Kobakhidze

We consider the two-point functions of conserved bulk currents and energy-momentum tensor in a boundary CFT defined on $\mathbb{R}_-^{1,2}$. Starting from the consistent forms of boundary gauge and gravitational anomalies we derive their…

High Energy Physics - Theory · Physics 2019-07-11 Vladimir Prochazka