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We calculate gluino condensate for supersymmetric Yang Mills theory on general grounds without making any assumption with regard to the weak or strong regime of the theory. Our result coincides with that obtained from an instanton…

High Energy Physics - Phenomenology · Physics 2018-11-02 Renata Jora

We present the first nonperturbative large-$N$ calculation of the $\mathcal{N}=1$ supersymmetric (SUSY) $\mathrm{SU}(N)$ Yang$-$Mills gluino condensate obtained by means of numerical simulations of the lattice-discretized theory, exploiting…

We calculate gaugino and meson condensates in N=1 SQCD theory with SU(N_c) gauge group and N_f < 2N_c matter flavours, by deforming the pure N=2 Super-Yang-Mills plus fundamental matter action with a mass term for the adjoint scalar…

High Energy Physics - Theory · Physics 2007-05-23 Michael Chesterman

We study the sypersymmetric pure Yang-Mills theory with semisimple Lie groups. We show that the general form of the gluino condensate is determined solely by the symmetries of the theory and it is in disagreement with the recently proposed…

High Energy Physics - Theory · Physics 2007-05-23 Myck Schwetz , Maxim Zabzine

A longstanding puzzle concerns the calculation of the gluino condensate <{tr\lambda^2\over 16\pi^2}> = c\Lambda^3 in N=1 supersymmetric SU(N) gauge theory: so-called weak-coupling instanton (WCI) calculations give c=1, whereas…

High Energy Physics - Theory · Physics 2009-10-31 T. J. Hollowood , V. V. Khoze , W. Lee , M. P. Mattis

We derive recently obtained relations, relating the logarithmic gauge coupling derivative of the hadron mass and the cosmological constant to the matter and vacuum gluon condensates, within a Hamiltonian framework. The key idea is a…

High Energy Physics - Phenomenology · Physics 2014-09-16 Vladimir Prochazka , Roman Zwicky

We provide a first-principles non-perturbative determination of the mass of the lightest gluino-gluon bound state (gluino-glue) in large-$N$ $\mathcal{N}=1$ Supersymmetric Yang--Mills theory by means of numerical Monte Carlo simulations of…

High Energy Physics - Lattice · Physics 2025-03-20 Claudio Bonanno , Margarita García Pérez , Antonio González-Arroyo , Ken-Ichi Ishikawa , Masanori Okawa

We examine supersymmetric SU(N) gauge theories on R^3*S^1 with a circle of circumference beta. These theories interpolate between four-dimensional N=1 pure gauge theory for beta=infinity and three-dimensional N=2 gauge theory for beta=0.…

High Energy Physics - Theory · Physics 2009-07-09 N. Michael Davies , Timothy J. Hollowood , Valentin V. Khoze , Michael P. Mattis

Using Ward identities of N=1/2 supersymmetric Yang-Mills theory, we show that while the partition function and antichiral gluino condensates remain invariant under the $C$ deformation, chiral gluino correlators can get contributions from…

High Energy Physics - Theory · Physics 2009-11-10 Ali Imaanpur

We compute the gaugino condensates, $\left\langle \prod_{i=1}^k \text{tr}(\lambda\lambda)(x_i) \right\rangle $ for $1$ $\leq$ $k$ $\le$ $N-1$, in $SU(N)$ super Yang-Mills theory on a small four-dimensional torus $\mathbb{T}^4$, subject to…

High Energy Physics - Theory · Physics 2025-02-18 Mohamed M. Anber , Erich Poppitz

We present the first lattice determination of the SUSY $\mathrm{SU}(N)$ Yang-Mills gluino condensate at large $N$. We exploit large-$N$ twisted volume reduction, and present two determinations based on the Banks-Casher relation and on a…

We report on new results for the low lying spectrum of N=1 SUSY Yang-Mills Theory with SU(2) as the gauge group. Simulating on larger lattices at \kappa = 0.194 and \beta = 2.3, we slowly approach the supersymmetric limit at m_{gluino} = 0.

High Energy Physics - Lattice · Physics 2010-12-23 R. Peetz , F. Farchioni , C. Gebert , G. Münster

We consider instanton contributions to chiral correlators, such as <0| Tr \lambda^2 (x) Tr \lambda^2(x') |0>, in N=1 supersymmetric Yang-Mills theory with either light adjoint or fundamental matter. Within the former model, extraction of…

High Energy Physics - Theory · Physics 2015-06-26 Adam Ritz , Arkady Vainshtein

$\mathcal{N} = 1$ supersymmetric Yang-Mills theory describes gluons interacting with gluinos, which are spin-$\frac{1}{2}$ Majorana particles in the adjoint representation of the gauge group. In addition to glueballs and mesonic bound…

High Energy Physics - Lattice · Physics 2021-11-30 Sajid Ali , Georg Bergner , Camilo Lopez , Istvan Montvay , Gernot Münster , Stefano Piemonte

We make progress towards a derivation of a low energy effective theory for SU(2) Yang-Mills theory. This low energy action is computed to 1-loop using the renormalization group technique, taking proper care of the Slavnov-Taylor identities…

High Energy Physics - Theory · Physics 2019-02-20 A. N. Efremov

We argue that in the pure N=1 Super Yang-Mills theory gauge symmetry is spontaneously broken to the maximal Abelian subgroup. In particular, colored gluino condensate is nonzero. It invalidates, in a subtle way, the so-called…

High Energy Physics - Theory · Physics 2010-03-19 Dmitri Diakonov , Victor Petrov

This article contains lecture notes of M. Shifman from the Saalburg Summer School 2004. The topic is supersymmetric Yang-Mills theory, in particular the gluino condensate in pure SUSY gluodynamics.

High Energy Physics - Theory · Physics 2016-08-16 Christoph Lüdeling

We show how to formulate the phenomenon of gaugino condensation in a super-Yang-Mills theory with a field-dependent gauge coupling described with a linear multiplet. We prove the duality equivalence of this approach with the more familiar…

High Energy Physics - Theory · Physics 2016-09-06 C. P. Burgess , J. -P. Derendinger , F. Quevedo , M. Quiros

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

We perform Monte Carlo investigations of the 4d ${\cal N}=1$ supersymmetric Yang-Mills (SYM) theory on the lattice with dynamical gluinos in the adjoint representation of the SU(2) gauge group. Our aim is to determine the mass spectrum of…

High Energy Physics - Lattice · Physics 2010-01-21 K. Demmouche , F. Farchioni , A. Ferling , I. Montvay , G. Münster , E. E. Scholz , J. Wuilloud
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