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Supersymmetric gauge theories are characterized by the existence of a transformation of the bosonic fields (Nicolai map) such that the Jacobi determinant of the transformation equals the product of the Matthews-Salam-Seiler and…

高能物理 - 理论 · 物理学 2021-01-13 Sudarshan Ananth , Olaf Lechtenfeld , Hannes Malcha , Hermann Nicolai , Chetan Pandey , Saurabh Pant

The nonlocal bosonic theory obtained from integrating out all anticommuting and auxiliary variables in a globally supersymmetric theory is characterized by the Nicolai map. We present a universal formula for the latter in terms of an…

高能物理 - 理论 · 物理学 2022-04-06 Olaf Lechtenfeld

Supersymmetric pure Yang-Mills theory is formulated with a local, i.e. space-time dependent, complex coupling in superspace. Super-Yang-Mills theories with local coupling have an anomaly, which has been first investigated in the Wess-Zumino…

高能物理 - 理论 · 物理学 2010-04-05 E. Kraus , C. Rupp , K. Sibold

Quantum correlators of pure supersymmetric Yang-Mills theories in D=3,4,6 and 10 dimensions can be reformulated via the non-linear and non-local transformation (`Nicolai map') that maps the full functional measure of the interacting theory…

高能物理 - 理论 · 物理学 2020-07-01 Hermann Nicolai , Jan Plefka

Discretization of supersymmetric theories is an old problem in lattice field theory. It has resisted solution until quite recently when new ideas drawn from orbifold constructions and topological field theory have been brought to bear on…

高能物理 - 格点 · 物理学 2010-06-07 Simon Catterall

Recently, a universal formula for the Nicolai map in terms of a coupling flow functional differential operator was found. We present the full perturbative expansion of this operator in Yang-Mills theories where supersymmetry is realized…

高能物理 - 理论 · 物理学 2021-06-24 Olaf Lechtenfeld , Maximilian Rupprecht

We construct Nicolai maps for supersymmetric Yang-Mills theory in four and ten spacetime dimensions in the light-cone gauge, where the elimination of non-propagating degrees of freedom causes nonlocal and four-fermi interactions in the…

高能物理 - 理论 · 物理学 2024-08-13 Olaf Lechtenfeld

Yang-Mills theories are an important building block of the standard model and in particular of quantum chromodynamics. Its correlation functions describe the behavior of its elementary particles, the gauge bosons. In quantum chromodynamics,…

高能物理 - 唯象学 · 物理学 2020-04-23 Markus Q. Huber

In this Letter we consider SU(2) Yang-Mills theory analysed in Cho-Faddeev-Niemi variables which remains invariant under local gauge transformations. The BRST symmetries of this theory is generalized by making the infinitesimal parameter…

高能物理 - 理论 · 物理学 2013-11-25 Sudhaker Upadhyay

In this paper we show that Yang-Mills theory in the Curci-Ferrari-Delbourgo-Jarvis gauge admits some up to now unknown local linear Ward identities. These identities imply some non-renormalization theorems with practical simplifications for…

高能物理 - 理论 · 物理学 2009-03-24 Matthieu Tissier , Nicolas Wschebor

In generalized Yang-Mills theories scalar fields can be gauged just as vector fields in a usual Yang-Mills theory, albeit it is done in the spinorial representation. The presentation of these theories is aesthetic in the following sense: A…

高能物理 - 理论 · 物理学 2007-05-23 M. Chaves

We study the transformation law of quantum fields in super Yang-Mills theory quantized in the Wess-Zumino gauge. It can be derived from a local version of generalized Slavnov-Taylor identities for general Green functions. Under suitable…

高能物理 - 理论 · 物理学 2009-11-07 Christian Rupp , Klaus Sibold

We show for the case of interacting massless vector bosons, how the structure of Yang-Mills theories emerges automatically from a more fundamental concept, namely perturbative quantum gauge invariance. It turns out that the coupling in a…

高能物理 - 理论 · 物理学 2009-10-31 Andreas Aste , G"unter Scharf

${\cal N}=4$ Super Yang-Mills theory is a highly constrained theory, and therefore a valuable tool to test the understanding of less constrained Yang-Mills theories. Our aim is to use it to test our understanding of both the Landau gauge…

高能物理 - 唯象学 · 物理学 2016-03-09 Axel Maas , Stefan Zitz

Yang-Mills theory can be formulated for any semi-simple Lie algebra, and thus any semi-simple Lie group. In principle, the dynamics could be different for each one. However, functional studies predict that the propagators in Landau gauge…

高能物理 - 格点 · 物理学 2011-03-18 Axel Maas

We revisit the construction of topological Yang-Mills theories of the Witten type with arbitrary space-time dimension and number of ``shift supersymmetry'' generators, using a superspace formalism. The super-BF structure of these theories…

高能物理 - 理论 · 物理学 2009-11-10 Clisthenis P. Constantinidis , Olivier Piguet , Wesley Spalenza

We address the issue of the all order multiplicative renormalizability of SU(2) Yang-Mills theories quantized in the maximal Abelian gauge in presence of scalar matter fields. The non-linear character of the maximal Abelian gauge requires…

高能物理 - 理论 · 物理学 2015-06-10 M. A. L. Capri , D. Fiorentini , S. P. Sorella

We propose a subtraction scheme for a massive Yang-Mills theory realized via a nonlinear representation of the gauge group (here SU(2)). It is based on the subtraction of the poles in D-4 of the amplitudes, in dimensional regularization,…

高能物理 - 理论 · 物理学 2008-06-16 Daniele Bettinelli , Ruggero Ferrari , Andrea Quadri

Previous investigations on the renormalizability properties of Lorentz-violating Yang-Mills (LVYM) theories in the Landau gauge have pointed out the necessity of the inclusion of a mass-like term for the gauge fields. If one aims at…

高能物理 - 理论 · 物理学 2025-01-28 Antonio D. Pereira

Adding a topological theta term to the action of $\mathcal{N}{=}\,1$ $D{=}4$ super Yang-Mills theory modifies its Nicolai map. For the BPS value of the theta angle a chiral version of the map emerges, which allows for a considerable…

高能物理 - 理论 · 物理学 2023-01-24 Olaf Lechtenfeld , Maximilian Rupprecht
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