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I review the main features of our model of the 4-dimensional Yang-Mills theory vacuum as a liquid of fractional instantons. The model provides a possible microscopic mechanism for Confinement in four dimensional Yang-Mills theory at $T=0$.…

High Energy Physics - Theory · Physics 2023-02-27 Antonio Gonzalez-Arroyo

Motivated by the recent high-precision lattice data on Yang-Mills equations of state, we propose an effective theory of SU(3) gluonic matter. The theory is constructed based on the center and scale symmetries and their dynamical breaking,…

High Energy Physics - Phenomenology · Physics 2015-06-16 Chihiro Sasaki , Igor Mishustin , Krzysztof Redlich

We study N=1 gauge theories obtained by adding finite mass terms to N=4 Yang-Mills theory. The Maldacena dual is nonsingular: in each of the many vacua, there is an extended brane source, arising from Myers' dielectric effect. The source…

High Energy Physics - Theory · Physics 2007-05-23 Joseph Polchinski , Matthew J. Strassler

G_2 Yang--Mills theory is an interesting laboratory to investigate non-perturbative effects. On one hand, no conventional quark confinement via a linearly rising potential is present. On the other hand, its thermodynamic properties are…

High Energy Physics - Lattice · Physics 2009-01-06 Axel Maas , Stefan Olejnik

Effective string theory has shown its universal power in the prediction of the spectrum of low-lying excited states of confining strings. Here we study confining flux tubes in $\mathbb{Z}_N$ gauge theories. For the $N=2$ theory, which…

High Energy Physics - Lattice · Physics 2023-12-08 Andreas Athenodorou , Sergei Dubovsky , Conghuan Luo , Michael Teper

We present a lattice study of the equation of state in Yang-Mills theory based on the exceptional G(2) gauge group. As is well-known, at zero temperature this theory shares many qualitative features with real-world QCD, including the…

High Energy Physics - Lattice · Physics 2015-03-16 Mattia Bruno , Michele Caselle , Marco Panero , Roberto Pellegrini

We propose a description of the gluon scattering amplitudes as the inverse Mellin transforms of the conformal correlators of light operators in two-dimensional Liouville theory tensored with WZW-like chiral currents on the celestial sphere.…

High Energy Physics - Theory · Physics 2023-08-22 Stephan Stieberger , Tomasz R. Taylor , Bin Zhu

We present results from a numerical study of N=1 supersymmetric Yang-Mills theory using domain wall fermions. In this particular lattice formulation of the theory, supersymmetry is expected to emerge accidentally in the continuum and chiral…

High Energy Physics - Lattice · Physics 2009-07-30 Michael G. Endres

Although nonperturbative functional methods are often associated with low energy Quantum Chromodynamics, contemporary studies indicate that they provide reliable tools to characterize a much wider spectrum of strongly interacting many-body…

High Energy Physics - Phenomenology · Physics 2015-06-15 Carina Popovici

We consider the partially-deconfined saddle of large-$N$ pure Yang-Mills theory lying between confined and deconfined phases, in which the color degrees of freedom split into confined and deconfined sectors. Based on the microscopic…

High Energy Physics - Theory · Physics 2023-04-12 Vaibhav Gautam , Masanori Hanada , Jack Holden , Enrico Rinaldi

We introduced here the study of a QCD based on a complex group. Our aim is to show that a gauge theory with a complex symmetry develops some of the features required for the description of a confined phase. This theory leads to gluons with…

High Energy Physics - Theory · Physics 2020-05-13 R. L. P. G. Amaral , V. E. R. Lemes , O. S. Ventura , L. C. Q. Vilar

We construct a spinfoam model for Yang-Mills theory coupled to quantum gravity in three dimensional riemannian spacetime. We define the partition function of the coupled system as a power series in g_0^2 G that can be evaluated order by…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Simone Speziale

We examine the phase structure of massive Yang-Mills theory in 1+1 dimensions. This theory is equivalent to a gauged principal chiral sigma model. It has been previously shown that the gauged theory has only a confined phase, and no Higgs…

High Energy Physics - Lattice · Physics 2015-12-22 Axel Cortés Cubero

We present a novel lattice calculation of the equation of state of SU(2) Yang-Mills theory in the confining phase. We show that a gas of massive, non-interacting glueballs describes remarkably well the results, provided that a bosonic…

High Energy Physics - Lattice · Physics 2016-07-20 Michele Caselle , Alessandro Nada , Marco Panero

I summarise what lattice methods can contribute to our understanding of the phenomenology of QCD at large Nc and describe some recent work on the physics of SU(Nc) gauge theories. These non-perturbative calculations show that there is…

High Energy Physics - Phenomenology · Physics 2017-08-23 M. Teper

We discuss the properties of ghost and gluon propagators in Landau gauge Yang-Mills theory and their relation to the confinement problem. In general two types of infrared behavior of these functions are allowed from their functional…

High Energy Physics - Phenomenology · Physics 2009-06-25 Christian S. Fischer , Axel Maas , Jan M. Pawlowski

I argue that a certain perturbative proximity exists between some supersymmetric and non-supersymmetric theories (namely, pure Yang-Mills and adjoint QCD with two flavors, adjQCD$_{N_f=2}$). I start with ${\mathcal N}=2$ super-Yang-Mills…

High Energy Physics - Theory · Physics 2020-09-29 Mikhail Shifman

The universal coupling of matter and gravity is one of the most important features of general relativity. In quantum gravity, in particular spin foams, matter couplings have been defined in the past, yet the mutual dynamics, in particular…

General Relativity and Quantum Cosmology · Physics 2015-09-18 Sebastian Steinhaus

Non-Abelian gauge theories with fermions transforming in the adjoint representation of the gauge group (AdjQCD) are a fundamental ingredient of many models that describe the physics beyond the Standard Model. Two relevant examples are N=1…

High Energy Physics - Lattice · Physics 2018-04-25 Georg Bergner , Stefano Piemonte

We study the U(N) non-commutative Yang-Mills theory at the one-loop approximation. We check renormalizability and gauge invariance of the model and calculate the one-loop beta function. The interaction of the SU(N) gauge bosons with the…

High Energy Physics - Theory · Physics 2009-10-31 Adi Armoni