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Non-supersymmetric orbifolds of N=1 super Yang-Mills theories are conjectured to inherit properties from their supersymmetric parent. We examine this conjecture by compactifying the Z_2 orbifold theories on a spatial circle of radius R. We…

High Energy Physics - Theory · Physics 2009-11-07 David Tong

We consider minimally supersymmetric Yang-Mills theory with a Chern-Simons term on a flat spatial two-torus. The Witten index may be computed in the weak coupling limit, where the ground state wave-functions localize on the moduli space of…

High Energy Physics - Theory · Physics 2015-06-11 Mans Henningson

We propose a new description of the SU(N) Yang-Mills theory on a lattice, which enables one to explain quark confinement based on the dual superconductivity picture in a gauge independent way. This is because we can define gauge-invariant…

High Energy Physics - Lattice · Physics 2010-01-21 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Shoichi Ito , Toru Shinohara , Takeharu Murakami

Mixed anomalies, higher form symmetries, two-group symmetries and non-invertible symmetries have proved to be useful in providing non-trivial constraints on the dynamics of quantum field theories. We study mixed anomalies involving discrete…

High Energy Physics - Theory · Physics 2023-02-08 Noppadol Mekareeya , Matteo Sacchi

We apply the large-charge limit to the first known example of a four-dimensional gauge-Yukawa theory featuring an ultraviolet interacting fixed point in all couplings. We determine the energy of the ground state in presence of large fixed…

High Energy Physics - Theory · Physics 2020-02-26 Domenico Orlando , Susanne Reffert , Francesco Sannino

Owing to confinement, the fundamental particles of N=1 Supersymmetric Yang-Mills (SYM) theory, gluons and gluinos, appear only in colourless bound states at zero temperature. Compactifying the Euclidean time dimension with periodic boundary…

High Energy Physics - Lattice · Physics 2015-10-21 G. Bergner , P. Giudice , G. Münster , S. Piemonte

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

Structure of exact solutions modelling confinement is discussed for SU(3)-Yang-Mills equations and uniqueness of such confining solutions is proved in a certain sense. Relationship of the obtained results to QCD and the confinement…

High Energy Physics - Phenomenology · Physics 2009-11-11 Yu. P. Goncharov

A center vortex model for the infrared sector of SU(4) Yang-Mills theory is constructed such as to reproduce both the ratio between the zero-temperature quark and diquark string tensions known from lattice Yang-Mills theory, as well as the…

High Energy Physics - Lattice · Physics 2007-05-23 Michael Engelhardt

The Euclidean formulation of SU(2) Yang-Mills thermodynamics admits periodic, (anti)selfdual solutions to the fundamental, classical equation of motion which possess one unit of topological charge: (anti)calorons. A spatial coarse graining…

High Energy Physics - Theory · Physics 2016-05-02 Thierry Grandou , Ralf Hofmann

After some introductory comments on the peculiar features of slowly running theories, I will report results obtained using the Schrodinger functional technique for two gauge theories that are believed to lie near the bottom of the conformal…

High Energy Physics - Lattice · Physics 2013-10-10 Thomas DeGrand , Yigal Shamir , Benjamin Svetitsky

We show that dual conformal symmetry, mainly studied in planar $\mathcal N = 4$ super-Yang-Mills theory, has interesting consequences for Feynman integrals in nonsupersymmetric theories such as QCD, including the nonplanar sector. A simple…

High Energy Physics - Theory · Physics 2017-12-06 Zvi Bern , Michael Enciso , Harald Ita , Mao Zeng

We study quenched SU(N) gauge theories with fermions in the two-index symmetric, antisymmetric and the adjoint representations. Our main motivation is to check whether at large number of colours those theories become non-perturbatively…

High Energy Physics - Theory · Physics 2008-11-26 Adi Armoni , Biagio Lucini , Agostino Patella , Claudio Pica

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

Large-N QCD with heavy adjoint fermions emulates pure Yang-Mills theory at long distances. We study this theory on a four- and three-torus, and analytically argue the existence of a large-small volume equivalence. For any finite mass,…

High Energy Physics - Theory · Physics 2010-12-24 Tatsuo Azeyanagi , Masanori Hanada , Mithat Unsal , Ran Yacoby

The dual superconductivity is a promising mechanism for quark confinement. We have presented a new formulation of the Yang-Mills theory on the lattice that enables us to change the original non-Abelian gauge field into the new field…

High Energy Physics - Lattice · Physics 2017-01-16 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Toru Shinohara

We propose a theory to describe fermion mixing. The theory respects the maximal abelian family symmetries which are spontaneously broken down at a large scale. We find that quark mixing can be well described in this theory. Some concrete…

High Energy Physics - Phenomenology · Physics 2010-11-01 Zhijian Tao

Recently we have proposed a set of variables for describing the infrared limit of four dimensional SU(2) Yang-Mills theory. here we extend these variables to the general case of four dimensional SU(N) Yang-Mills theory. We find that the…

High Energy Physics - Theory · Physics 2009-10-31 L. Faddeev , Antti J. Niemi

The frequently discussed strongly interacting gauge theory with a fermion flavor doublet in the two-index symmetric (sextet) representation of the SU(3) color gauge group is investigated \cite{Fodor:2012ty}. The chiral condensate and the…

High Energy Physics - Lattice · Physics 2012-11-28 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chris Schroeder , Chik Him Wong

For a generic gauge-invariant correlator <{\cal Q}[A_{\mu}]>_{A}, we reformulate the standard D=4 Yang-Mills theory as a renormalizable system of two interacting fields a_{\mu} and B_{\mu} which faithfully represent high- and low-energy…

High Energy Physics - Theory · Physics 2007-06-28 A. Yu. Dubin