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Related papers: QCD with an Infrared Fixed Point -- Pion Sector

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Chiral symmetry breaking in QCD leads to the emergence of pions as Goldstone bosons. Their existence in turn affects the Green functions of the theory. Here we study the effect of pion corrections on the light quark's Green function in…

High Energy Physics - Phenomenology · Physics 2009-11-10 Carlo Ewerz

On the basis of an observation due to Kiskis, Narayanan and Neuberger, we show that there is a remnant of chiral anomalies in the reduced model when a Dirac operator which obeys the Ginsparg-Wilson relation is employed for the fermion…

High Energy Physics - Lattice · Physics 2009-11-07 Yoshio Kikukawa , Hiroshi Suzuki

We have calculated the running coupling in SU(2), SU(3), and SU(4) gauge theories to see whether they have infrared fixed points. An infrared fixed point means no confinement: It means that the long-distance physics is conformal, without a…

High Energy Physics - Lattice · Physics 2013-01-10 Benjamin Svetitsky

We present the conformal windows of SU(N) supersymmetric and nonsupersymmetric gauge theories with vector-like matter transforming according to higher irreducible representations of the gauge group. We determine the fraction of…

High Energy Physics - Theory · Physics 2008-11-26 Thomas A. Ryttov , Francesco Sannino

We undertake a systematic study of the $4$-dimensional $SU(N)$ $2$-index chiral gauge theories and investigate their faithful global symmetries and dynamics. These are a finite set of theories with fermions in the $2$-index symmetric and…

High Energy Physics - Theory · Physics 2024-01-10 Mohamed M. Anber , Samson Y. L. Chan

We determine the possible trajectories the universe may have followed in the QCD phase diagram during the QCD epoch. We focus on the roles of chiral symmetry breaking and pion condensation under high imbalances in lepton asymmetry. Adopting…

High Energy Physics - Phenomenology · Physics 2025-11-11 Osvaldo Ferreira , Eduardo S. Fraga , Maurício Hippert , Jürgen Schaffner-Bielich

Four-dimensional chiral gauge theory can be formulated as the boundary theory on a five-dimensional manifold in a manner that may be realized on a finite lattice. There are interesting features of these theories which defy a purely…

High Energy Physics - Lattice · Physics 2025-08-27 David B. Kaplan , Srimoyee Sen

We investigate the existence of inhomogeneous chiral phases in the quark-meson model with explicit chiral-symmetry breaking. We find that the inhomogeneous region shrinks with increasing pion masses but survives for the physical value of…

High Energy Physics - Phenomenology · Physics 2021-01-18 Michael Buballa , Stefano Carignano , Lennart Kurth

We discuss confinement and chiral symmetry breaking in SU(Nc) gauge theories with fermions in the adjoint representation. There has been considerable work on studying these theories compactified on a small circle (with compactification…

High Energy Physics - Theory · Physics 2025-06-12 Anja Alfano , Nick Evans , Wanxiang Fan

We present the phase diagram and associated fixed points for a wide class of Gauge-Yukawa theories in $d=4+\epsilon$ dimensions. The theories we investigate involve non-abelian gauge fields, fermions and scalars in the Veneziano-Witten…

High Energy Physics - Theory · Physics 2016-08-24 Alessandro Codello , Kasper Langaeble , Daniel Litim , Francesco Sannino

An SU(2) gauge theory with two fermions transforming under the adjoint representation of the gauge group may appear conformal or almost conformal in the infrared. We use lattice simulations to study the spectrum of this theory and present…

High Energy Physics - Lattice · Physics 2009-05-12 Ari J. Hietanen , Jarno Rantaharju , Kari Rummukainen , Kimmo Tuominen

We start with the relation between the chiral symmetry breaking and gauge field topology. New lattice result further enhance the notion of Zero Mode Zone, a very narrow strip of states with quasizero Dirac eigenvalues. Then we move to the…

Nuclear Theory · Physics 2015-06-18 Edward Shuryak

We show that the assumption of non-zero topological susceptibility of the vacuum in a fermion-free version of a theory, such as gravity or QCD, suffices to conclude the following: Once N massless fermion flavors are added to the theory,…

High Energy Physics - Theory · Physics 2017-05-19 Gia Dvali

We introduce a covariant approach in Minkowski space for the description of quarks and mesons that exhibits both chiral-symmetry breaking and confinement. In a simple model for the interquark interaction the quark mass function is obtained…

High Energy Physics - Phenomenology · Physics 2016-07-19 Elmar P. Biernat , M. T. Peña , Franz Gross , Alfred Stadler , Emílio Ribeiro

The infrared structure of gauge theories with chiral fermions remains largely unexplored. In this work we investigate the Bars-Yankielowicz class using the functional renormalisation group, building on recent developments in gauge-fermion…

High Energy Physics - Theory · Physics 2026-03-23 Haolin Li , Álvaro Pastor-Gutiérrez , Shahram Vatani

We extend the phase diagram of SU(N) gauge-fermion theories as function of number of flavours and colours to the region in which asymptotic freedom is lost. We argue, using large $N_f$ results, for the existence of an ultraviolet…

High Energy Physics - Phenomenology · Physics 2018-06-13 Oleg Antipin , Francesco Sannino

Scalar QED with fermions is investigated in an expansion in powers of the inverse gauge coupling constant. The fermion mass generation is studied in next to leading order of the strong coupling expansion for the Higgs-phase of the model.…

High Energy Physics - Phenomenology · Physics 2009-09-25 Marc Chemtob , Kurt Langfeld

We investigate the proposition that axion-Yang-Mills systems are characterized by a $3$-form gauge theory in the deep infrared regime. This hypothesis is rigorously examined by initially developing a systematic framework for analyzing…

High Energy Physics - Theory · Physics 2024-10-10 Mohamed M. Anber , Samson Y. L. Chan

We show how such important features of QCD as chiral symmetry breaking or the formation of a mass-gap can be directly traced from QCD sum rules for two point functions assuming, in the large number of colors limit, exact duality between the…

High Energy Physics - Phenomenology · Physics 2009-11-11 S. S. Afonin , D. Espriu

We present results from high precision, large volume simulations of the lattice gauge theory corresponding to minimal walking technicolor. We find evidence that the pion decay constant vanishes in the infinite volume limit and that the…

High Energy Physics - Lattice · Physics 2009-10-23 Simon Catterall , Joel Giedt , Francesco Sannino , Joe Schneible
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