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It is expected that SU(2) gauge theory with $N_f$ fundamental fermions has an infrared fixed point when $N_f$ is between $\sim 6$ and 10. We study the hadron spectrum and scale setting in SU(2) gauge field theory with $N_f=2,4,6$ using…

High Energy Physics - Lattice · Physics 2015-11-17 Alessandro Amato , Teemu Rantalaiho , Kari Rummukainen , Kimmo Tuominen , Sara Tähtinen

The SU(3) gauge theory with $N_f=8$ nearly massless Dirac fermions has long been of theoretical and phenomenological interest due to the near-conformality arising from its proximity to the conformal window. One particularly interesting…

A distinctive feature of the presence of spontaneous chiral symmetry breaking in QCD is the condensation of low modes of the Dirac operator near the origin. The rate of condensation must be equal to the slope of (Mpi^2 Fpi^2)/2 with respect…

High Energy Physics - Phenomenology · Physics 2015-03-25 Georg P. Engel , Leonardo Giusti , Stefano Lottini , Rainer Sommer

We present updated results on chiral phase structure in (2+1)-flavor ($N_f$=2+1) and 3-flavor ($N_f=3$) QCD based on the simulations using Highly Improved Staggered Quarks on lattices with temporal extent $N_\tau$ =6 at vanishing baryon…

High Energy Physics - Lattice · Physics 2019-08-14 Heng-Tong Ding , Prasad Hegde

We report new results for lattice gauge theories with twelve fermion flavors in the fundamental representation and two fermion flavors in the two-index symmetric (sextet) representation of the SU(3) color gauge group. Both models are…

High Energy Physics - Lattice · Physics 2011-04-01 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chris Schroeder

We consider the problem of identifying the onset of the conformal window for QCD with $N_f$ massless flavors in the fundamental representation, and propose a new effective method to determine it from lattice simulations. This method is…

High Energy Physics - Lattice · Physics 2026-04-09 Massimo D'Elia , Marco Nacci , Kevin Zambello

We investigate the zero temperature chiral phase transition in an SU(N) gauge theory as the number of fermions $N_f$ is varied. We argue that there exists a critical number of fermions $N_f^c$, above which there is no chiral symmetry…

High Energy Physics - Phenomenology · Physics 2009-10-28 Thomas Appelquist , John Terning , L. C. R. Wijewardhana

We investigate the conformal window of four-dimensional gauge theories with fermionic matter fields in multiple representations. Of particularly relevant examples are the ultra-violet complete models with fermions in two distinct…

High Energy Physics - Phenomenology · Physics 2020-03-11 Byung Su Kim , Deog Ki Hong , Jong-Wan Lee

Three dimensional Thirring model with $N$ four-component Dirac fermions, reformulated as a lattice gauge theory, is studied by computer simulation. According to an $8^{3}$ data and preliminary $16^3$ data, chiral symmetry is found to be…

High Energy Physics - Lattice · Physics 2016-01-27 Seyong Kim , Yoonbai Kim

We explore the phase diagram of SU(2) Lattice Gauge Theory with dynamical fermions in the temperature, mass, chemical potential space. We observe qualitative changes of the dependence of the particle density on $\mu$ and $T$, which is…

High Energy Physics - Lattice · Physics 2007-05-23 M. -P. Lombardo

$SU(N_c)$ lattice gauge theories with $N_f$ flavors of massless staggered fermions are considered at high quark chemical potential $\mu$ and any temperature $T$. In the strong coupling regime (sufficiently small $\beta$) they have been…

High Energy Physics - Lattice · Physics 2015-11-13 E. T. Tomboulis

We consider vector and axialvector mesons in the framework of a gauged linear sigma model with chiral $U(N_f)_R \times U(N_f)_L$ symmetry. For $N_f=2$, we investigate the behavior of the chiral condensate and the meson masses as a function…

High Energy Physics - Theory · Physics 2008-11-26 Stefan Strüber , Dirk H. Rischke

We calculate the $m_\varrho / f_\pi$ ratio in the chiral and continuum limit for $SU(3)$ gauge theory coupled to $N_f = 2,3,4,5,6$ fermions in the fundamental representation. Keeping all systematic effects under full control we find no…

High Energy Physics - Lattice · Physics 2019-06-26 Daniel Nogradi , Lorinc Szikszai

We apply a recently developed dilaton-pion effective field theory for asymptotically free gauge theories near the conformal window to the $SU(3)$ gauge theory with $N_f=8$ fermions in the fundamental representation. Numerical data for this…

High Energy Physics - Lattice · Physics 2018-10-15 Maarten Golterman , Yigal Shamir

We perform an $\textit{ab initio}$ calculation of the $N_c$ scaling of the low-energy couplings of the chiral Lagrangian of low-energy strong interactions, extracted from the mass dependence of meson masses and decay constants. We compute…

High Energy Physics - Lattice · Physics 2019-10-24 Pilar Hernández , Carlos Pena , Fernando Romero-López

We study the IR phase of three dimensional quantum electrodynamics (QED$_3$) coupled to $N_f=2$ flavors of two-component Dirac fermions, which has been controversial for decades. This theory has been proposed to be self-dual with symmetry…

High Energy Physics - Theory · Physics 2022-06-01 Zhijin Li

We formulate the three dimensional Thirring model on a spacetime lattice and study it for various even numbers of fermion flavors N_f by Monte Carlo simulation. We find clear evidence for spontaneous chiral symmetry breaking at strong…

High Energy Physics - Lattice · Physics 2009-10-30 L. Del Debbio , S. J. Hands , J. C. Mehegan

We investigate the chiral phase transition in SU(N) gauge theories as the number of quark flavors, $N_f$, is varied. We argue that the transition takes place at a large enough value of $N_f$ so that it is governed by the infrared fixed…

High Energy Physics - Phenomenology · Physics 2014-11-17 Thomas Appelquist , Anuradha Ratnaweera , John Terning , L. C. R. Wijewardhana

We consider vectorial, asymptotically free ${\cal N}=1$ supersymmetric SU($N_c$) gauge theories with $N_f$ copies of massless chiral super fields in various representations and study how perturbative predictions for the lower boundary of…

High Energy Physics - Phenomenology · Physics 2012-04-26 Thomas A. Ryttov , Robert Shrock

We propose that, in SU(3) gauge theories with fundamental quarks, confinement can be inferred from spectral density of the Dirac operator. This stems from the proposition that its possible behaviors are exhausted by three distinct types…

High Energy Physics - Lattice · Physics 2015-09-02 Andrei Alexandru , Ivan Horváth