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Related papers: Comments on Gluino Condensates in N=1/2 SYM Theory

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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 couple fermion fields in the adjoint representation (gluinos) to the SU(2) gauge field of unit charge calorons defined on R^3 x S_1. We compute corresponding zero-modes of the Dirac equation. These are relevant in semiclassical studies…

High Energy Physics - Theory · Physics 2009-11-11 Margarita Garcia Perez , Antonio Gonzalez-Arroyo

We extend the instanton calculus for N=1/2 U(2) supersymmetric gauge theory by including one massless flavor. We write the equations of motion at leading order in the coupling constant and we solve them exactly in the non(anti)commutativity…

High Energy Physics - Theory · Physics 2009-11-11 Simone Giombi , Riccardo Ricci , Daniel Robles-Llana , Diego Trancanelli

We show how Supersymmetric Ward identities can be used to obtain amplitudes involving gluinos or adjoint scalars from purely gluonic amplitudes. We obtain results for all one-loop six-point NMHV amplitudes in $\NeqFour$ Super Yang-Mills…

High Energy Physics - Theory · Physics 2009-11-11 Steven J. Bidder , David C. Dunbar , Warren B. Perkins

We study the SO(4)x SU(2) invariant Q-deformation of Euclidean N=(1,1) gauge theories in the harmonic superspace formulation. This deformation preserves chirality and Grassmann harmonic analyticity but breaks N=(1,1) to N=(1,0)…

High Energy Physics - Theory · Physics 2010-04-05 S. Ferrara , E. Ivanov , O. Lechtenfeld , E. Sokatchev , B. Zupnik

We study N=2 supersymmetric U(1) gauge theory in non(anti)commutative N=2 harmonic superspace with the singlet deformation, which preserves chirality. We construct a Lagrangian which is invariant under both the deformed gauge and…

High Energy Physics - Theory · Physics 2010-04-05 Takeo Araki , Katsushi Ito

We study a reduction of deformation parameters in non(anti)commutative N=2 harmonic superspace to those in non(anti)commutative N=1 superspace. By this reduction we obtain the exact gauge and supersymmetry transformations in the Wess-Zumino…

High Energy Physics - Theory · Physics 2009-11-11 Takeo Araki , Katsushi Ito , Akihisa Ohtsuka

In a numerical Monte Carlo simulation of SU(2) Yang-Mills theory with dynamical gauginos we find evidence for two degenerate ground states at the supersymmetry point corresponding to zero gaugino mass. This is consistent with the expected…

High Energy Physics - Lattice · Physics 2007-05-23 R. Kirchner , S. Luckmann , I. Montvay , K. Spanderen , J. Westphalen

Composite operators of bare fermion fields evolved along a trajectory on field space by means of flow equations are multiplicatively renormalized. Therefore, even in the case of Wilson fermions, the renormalization of expectation values of…

High Energy Physics - Lattice · Physics 2018-11-07 Georg Bergner , Camilo Lopez , Stefano Piemonte

The SUSY Ward identities (WIs) for the N=1 SU(2) SUSY Yang Mills theory discretized on the lattice with Wilson fermions (gluinos) are considered. The study is performed in the framework of a Monte Carlo simulation of the model with light…

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

We show that classical, non-supersymmetric Yang-Mills theories coupled to spin-1/2 and spin-0 elementary matter fields, in (3+1)-dimensional Minkowski space-time, possess exact structures that resemble integrability, with an infinite number…

High Energy Physics - Theory · Physics 2025-11-19 L. A. Ferreira , H. Malavazzi

Adding a gluino mass term to N=1 supersymmetric Yang-Mills theory breaks supersymmetry softly. In order to approach the supersymmetric continuum limit in numerical simulations with the Wilson action, the bare gluino mass has to be tuned to…

High Energy Physics - Lattice · Physics 2014-11-07 Gernot Münster , Hendrik Stüwe

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,…

High Energy Physics - Phenomenology · Physics 2020-04-23 Markus Q. Huber

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…

High Energy Physics - Theory · Physics 2009-03-24 Matthieu Tissier , Nicolas Wschebor

So far, quantum properties of N=1/2 nonanticommutative (NAC) super Yang--Mills theories have been investigated in the WZ gauge. The gauge independence of the results requires assuming that at the quantum level supergauge invariance is not…

High Energy Physics - Theory · Physics 2009-11-10 S. Penati , A. Romagnoni

The use of supersymmetric localisation has recently led to modular covariant expressions for certain integrated correlators of half-BPS operators in $\mathcal{N} = 4$ supersymmetric Yang-Mills theory with a general classical gauge group…

High Energy Physics - Theory · Physics 2023-05-10 Daniele Dorigoni , Michael B. Green , Congkao Wen , Haitian Xie

Gauge independence of dimension two condensate in Yang-Mills theory is demonstrated by using a noncommutative theory technique.

High Energy Physics - Theory · Physics 2009-11-10 A. A. Slavnov

We study the central charge of the deformed N=(1,0) supersymmetry algebra in non(anti)commutative N=2 supersymmetric U(N) gauge theory. In the cases of N=1/2 superspace and N=2 harmonic superspace with the singlet deformation, we find that…

High Energy Physics - Theory · Physics 2008-11-26 Katsushi Ito , Hiroaki Nakajima

The realization of center and chiral symmetries in $\mathcal{N}=1$ super Yang-Mills theory (SYM) is investigated on a four-dimensional Euclidean lattice by means of Monte Carlo methods. At zero temperature this theory is expected to confine…

High Energy Physics - Lattice · Physics 2019-10-09 Georg Bergner , Camilo López , Stefano Piemonte

In this paper the SIM(2) superspace formulation of the supersymmetric Yang-Mills gauge theory minimally coupled to chiral superfields is discussed. The super-Poincare invariant supersymmetric Yang-Mills theory is rewritten to SIM(2)…

High Energy Physics - Theory · Physics 2015-03-16 Jiří Vohánka