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In N = 1 super Yang-Mills theories, under certain conditions satisfied by the spectrum and the Yukawa couplings, the beta functions will vanish to all orders in perturbation theory. We address the generation of realistic quark mixing angles…

High Energy Physics - Phenomenology · Physics 2014-11-17 K. S. Babu , Ts. Enkhbat , I. Gogoladze

We extend previous work by developing a worldsheet description of non-abelian gauge theory (Yang-Mills). This task requires the introduction of Grassmann variables on the world sheet analogous to those of the Neveu-Schwarz-Ramond…

High Energy Physics - Theory · Physics 2009-05-08 Charles B. Thorn

We investigate the asymptotic symmetry group of a SU(2)-Yang-Mills theory coupled to a Higgs field in the Hamiltonian formulation. This extends previous work on the asymptotic structure of pure electromagnetism by Henneaux and Troessaert,…

High Energy Physics - Theory · Physics 2024-05-14 Lena Janshen , Domenico Giulini

We give a comparison of the spectrum of Yang-Mills theory in $D=3+1$, recently derived with a strong coupling expansion, with lattice data. We verify excellent agreement also for 2$^{++}$ glueball. A deep analogy with the $D=2+1$ case is…

High Energy Physics - Theory · Physics 2007-06-28 Marco Frasca

In this letter we derive the Seiberg-Witten map for noncommutative super Yang-Mills theory in Wess-Zumino gauge. Following (and using results of) hep-th/0108045 we split the observer Lorentz transformations into a covariant particle Lorentz…

High Energy Physics - Theory · Physics 2009-11-07 V. Putz , R. Wulkenhaar

Studies of noncommutative gauge theory have mainly focused on noncommutative spacetimes with constant noncommutative structure, with little known about actions for noncommutative 4D Yang-Mills theory beyond this case. We construct an action…

High Energy Physics - Theory · Physics 2023-02-07 Tim Meier , Stijn J. van Tongeren

Seiberg-Witten maps and a recently proposed construction of noncommutative Yang-Mills theories (with matter fields) for arbitrary gauge groups are reformulated so that their existence to all orders is manifest. The ambiguities of the…

High Energy Physics - Theory · Physics 2009-11-07 Glenn Barnich , Friedemann Brandt , Maxim Grigoriev

I review the calculation of the glueball spectrum in non-supersymmetric Yang-Mills theory (in 3 and 4 dimensions) using the conjectured duality between supergravity and large N gauge theories. The glueball masses are obtained by solving the…

High Energy Physics - Phenomenology · Physics 2017-08-23 John Terning

We give an explicit example of a composite Higgs model with a pseudo-Nambu-Goldstone Higgs in which the top Yukawa coupling is generated via the partial compositeness mechanism. This mechanism requires composite top partners which are…

High Energy Physics - Phenomenology · Physics 2019-03-27 Helene Gertov , Ann E. Nelson , Ashley Perko , Devin G. E. Walker

We provide a survey of recent studies of supergroup gauge theory. We first discuss supermatrix model as a zero-dimensional toy model of supergroup gauge theory and its geometric and algebraic characterization. We then focus on…

High Energy Physics - Theory · Physics 2023-04-20 Taro Kimura

It has been proposed to abandon the requirement that parallel transporters in gauge theories are unitary (or pseudoorthogonal). This leads to a geometric interpretation of Vierbein fields as parts of gauge fields, and nonunitary parallel…

High Energy Physics - Lattice · Physics 2009-11-10 Claudia Lehmann , Gerhard Mack

In this note we discuss the wave functional approach to the spectrum of pure Yang-Mills theory in 2+1 and 3+1 dimensions by highlighting the issues of dynamical mass generation and the role played by the kinetic term. We extrapolate our…

High Energy Physics - Theory · Physics 2008-01-09 Laurent Freidel , Robert G. Leigh , Djordje Minic , Alexandr Yelnikov

Supersymmetric gauge theories are an important building block for extensions of the standard model. As a first step towards Super-QCD we investigate the pure gauge sector with gluons and gluinos on the lattice, in particular the low energy…

High Energy Physics - Lattice · Physics 2018-04-18 Marc Steinhauser , André Sternbeck , Björn Wellegehausen , Andreas Wipf

Standard SUSY-GUTs such as those based on $SU(5)$ or $SO(10)$ lead to predictions for the values of $\alpha _s$ and $sin^2\theta _W$ in amazing agreement with experiment. In this article we investigate how these models may be obtained from…

High Energy Physics - Theory · Physics 2009-10-09 G. Aldazabal , A. Font , L. E. Ibanez , A. M. Uranga

We argue that a simple qubit-regularized $\mathrm{SU}(2)$ lattice gauge theory (LGT) on a plaquette chain serves as a pseudo-one-dimensional toy model for Yang-Mills (YM) theory in three spatial dimensions. We map the chain Hamiltonian to…

High Energy Physics - Lattice · Physics 2026-01-22 Rui Xian Siew , Shailesh Chandrasekharan , Tanmoy Bhattacharya

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…

High Energy Physics - Lattice · Physics 2010-06-07 Simon Catterall

We discuss the problem of unitarity for Yang-Mills theory in the Landau gauge with a mass term a la Stueckelberg. We assume that the theory (non-renormalizable) makes sense in some subtraction scheme (in particular the Slavnov-Taylor…

High Energy Physics - Theory · Physics 2010-02-03 Ruggero Ferrari , Andrea Quadri

The spectrum of particles in supersymmetric Yang-Mills theory is expected to contain a spin 1/2 bound state of gluons and gluinos, the gluino-glue particle. We study the mass of this particle in softly broken supersymmetric Yang-Mills…

High Energy Physics - Lattice · Physics 2013-06-12 Georg Bergner , Tobias Berheide , Istvan Montvay , Gernot Münster , Umut D. Özugurel , Dirk Sandbrink

Lattice simulations currently present the only way to access nonperturbative data in strongly coupled theories from a first principle calculation. However, in supersymmetric theories this valuable tool is not available due to the technical…

High Energy Physics - Phenomenology · Physics 2013-11-27 Ivan Gordeli , Dmitry Melnikov

QCD can be formulated using any gauge group. One particular interesting choice is to replace SU(3) by the exceptional group G2. Conceptually, this group is the simplest group with a trivial center. It thus permits to study the conjectured…

High Energy Physics - Lattice · Physics 2012-12-11 Axel Maas , Björn H. Wellegehausen