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We consider marginal deformations of the superconformal ABJM/ABJ models which preserve N=2 supersymmetry. We determine perturbatively the spectrum of fixed points and study their infrared stability. We find a closed line of fixed points…

High Energy Physics - Theory · Physics 2015-05-14 Marco S. Bianchi , Silvia Penati , Massimo Siani

Numerical simulations of supersymmetric theories on the lattice are intricate and challenging with respect to their theoretical foundations and algorithmic realisation. Nevertheless, the simulations of a four-dimensional supersymmetric…

High Energy Physics - Lattice · Physics 2013-11-08 Georg Bergner , Istvan Montvay , Gernot Münster , Dirk Sandbrink , Umut D. Özugurel

The infrared structure of MHV gluon amplitudes in ${\cal N}=4$ super Yang-Mills theory is considered in the next-to-leading order of PT. Explicit cancelation of the infrared divergencies in properly defined cross-sections is demonstrated.…

High Energy Physics - Theory · Physics 2009-11-05 L. V. Bork , D. I. Kazakov , G. S. Vartanov , A. V. Zhiboedov

In this talk I summarise recent results on the infrared exponents of SU($N_c$)-Yang-Mills theory. I discuss a self-consistent power law solution for the Dyson-Schwinger equations for general 1PI-Greens functions in the infrared. The…

High Energy Physics - Lattice · Physics 2007-05-23 Christian S. Fischer

We revisit standard arguments for hyperscaling of the spectrum when a non-zero fermion mass is introduced to a gauge-fermion theory which is conformal in the infrared limit. With some general assumptions, we argue that the induced…

High Energy Physics - Theory · Physics 2023-08-08 Roman Marcarelli , Nicholas Miesch , Ethan T. Neil

We study non-supersymmetric fermion mass and condensate deformations of the AdS/CFT Correspondence. The 5 dimensional supergravity flows are lifted to a complete and remarkably simple 10 dimensional background. A brane probe analysis shows…

High Energy Physics - Theory · Physics 2009-11-07 James Babington , David E. Crooks , Nick Evans

Following previous work we further explore the possibility that the chirally broken phase of gauge theories admits an infrared fixed point interpretation. The slope of the $\beta$ function, $\beta'_*$, is found to vanish at the infrared…

High Energy Physics - Phenomenology · Physics 2025-08-26 Roman Zwicky

We study four-dimensional adjoint QCD with gauge group SU(2) and two Weyl fermion flavors, which has an $SU(2)_R$ chiral symmetry. The infrared behavior of this theory is not firmly established. We explore candidate infrared phases by…

High Energy Physics - Theory · Physics 2024-05-29 Clay Cordova , Thomas T. Dumitrescu

In this paper a quantum N = 4 super Yang-Mills theory perturbed by dilaton-coupled scalars, is considered. The induced effective action for such a theory is calculated on a dilaton-gravitational background using the conformal anomaly found…

General Relativity and Quantum Cosmology · Physics 2015-06-25 John Quiroga Hurtado

Fermionic theories with a vanishing chiral condensate (in the chiral limit) have recently attracted considerable interest; in particular variants of multi-flavour QCD are candidates for this behaviour. Here we consider the 2-flavour…

High Energy Physics - Lattice · Physics 2020-07-14 Wolfgang Bietenholz , Ivan Hip , David Landa-Marbán

The quasi-classical model in a gauge theory with the Yang-Mills (YM) field is developed. On a basis of the exact solution of the Dirac equation in the SU(N) gauge field, which is in the eikonal approximation, the Yang-Mills (YM) equations…

High Energy Physics - Theory · Physics 2010-12-06 A. V. Koshelkin

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 present the results of a numerical investigation of SU(2) gauge theory with $N_f=3/2$ flavours of fermions, corresponding to 3 Majorana fermions, which transform in the adjoint representation of the gauge group. At two values of the…

High Energy Physics - Lattice · Physics 2018-11-12 Georg Bergner , Pietro Giudice , Istvan Montvay , Gernot Münster , Stefano Piemonte , Philipp Scior

We consider two-dimensional ${\cal N} = (2, 2)$ Yang--Mills theory with gauge group SU($N$) in Euclidean signature compactified on a torus with thermal fermion boundary conditions imposed on one cycle. We perform non-perturbative lattice…

High Energy Physics - Lattice · Physics 2024-09-17 Navdeep Singh Dhindsa , Raghav G. Jha , Anosh Joseph , David Schaich

We present a nonperturbative lattice formulation of noncommutative Yang-Mills theories in arbitrary even dimension. We show that lattice regularization of a noncommutative field theory requires finite lattice volume which automatically…

High Energy Physics - Theory · Physics 2009-10-31 J. Ambjorn , Y. M. Makeenko , J. Nishimura , R. J. Szabo

We search for infrared fixed points of Gross-Neveu Yukawa models with matrix degrees of freedom in $d=4-\varepsilon$. We consider three models -- a model with $SU(N)$ symmetry in which the scalar and fermionic fields both transform in the…

High Energy Physics - Theory · Physics 2024-01-15 Shiroman Prakash , Shubham Kumar Sinha

We study the strong-interaction dynamics of a class of $4D$ chiral $SU(N)$ gauge theories with a fermion in a symmetric second-rank tensor representation and a number of fermions in an anti-antisymmetric tensor representation, extending the…

High Energy Physics - Theory · Physics 2025-02-04 Stefano Bolognesi , Kenichi Konishi , Andrea Luzio , Matteo Orso

The generation of gauge--dependent fermion vacuum condensates in Yang--Mills theory would dynamically break the gauge symmetry and thus provide an alternative to the Higgs mechanism in unified theories. We explore a simple example:…

High Energy Physics - Phenomenology · Physics 2010-12-16 Dmitri Diakonov , Hilmar Forkel , Matthias Lutz

SU(2) gauge theory with one Dirac flavour in the adjoint representation is investigated on a lattice. Initial results for the gluonic and mesonic spectrum, static potential from Wilson and Polyakov loops, and the anomalous dimension of the…

High Energy Physics - Lattice · Physics 2015-06-24 Andreas Athenodorou , Ed Bennett , Georg Bergner , Biagio Lucini

We analyze the phase structure of supersymmetric chiral gauge theories with gauge group SU(N), an antisymmetric, and F<N+4 flavors, in the presence of a cubic superpotential. When F=N+3 the theory flows to a superconformal fixed point in…

High Energy Physics - Theory · Physics 2015-05-28 Nathaniel Craig , Rouven Essig , Anson Hook , Gonzalo Torroba