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We study the SU(2) gauge theory on the lattice with different numbers of fermions in the fundamental representation of the gauge group to explore the gauge theory phase diagram. We find evidence for an infrared fixed point for ten flavors.…

High Energy Physics - Lattice · Physics 2012-01-11 Tuomas Karavirta , Jarno Rantaharju , Kari Rummukainen , Kimmo Tuominen

We analyze SU(2) gauge theory in a constant chromomagnetic field in three dimensions. Our analysis instead of supporting the existence of a non-trivial minimum in the effective potential, corroborates the evidence of the unstable modes on…

High Energy Physics - Lattice · Physics 2007-05-23 P. Cea , L. Cosmai

We present a non perturbative study of SU(2) gauge theory with two fundamental Dirac flavours. This theory provides a minimal template which is ideal for a wide class of Standard Model extensions featuring novel strong dynamics, such as a…

High Energy Physics - Lattice · Physics 2018-04-18 Vincent Drach , Tadeusz Janowski , Claudio Pica

We derive exact relations between certain integrals of the conserved flavor current four point function in 4d $\mathcal{N}=2$ conformal field theories (CFTs) and derivatives of the mass deformed sphere free energy, which can be computed…

High Energy Physics - Theory · Physics 2023-05-02 Shai M. Chester

We report on numerical simulations of SU(2) lattice gauge theory with two flavors of light dynamical quarks in the adjoint of the gauge group. The dynamics of this theory is thought to be very different from QCD -- the theory exhibiting…

High Energy Physics - Lattice · Physics 2010-02-03 Simon Catterall , Joel Giedt , Francesco Sannino , Joe Schneible

We construct a string-inspired model, motivated by the flavored Peccei-Quinn (PQ) axions, as a useful bridge between flavor physics and string theory. The key feature is two anomalous gauged $U(1)$ symmetries, responsible for both the…

High Energy Physics - Phenomenology · Physics 2016-04-27 Y. H. Ahn

Within supersymmetric SU(5) Grand Unified Theory, we present several new scenarios with anomaly free flavor symmetry U(1)_F. Within each scenario, a variety of cases offer many possibilities for phenomenologically interesting model…

High Energy Physics - Phenomenology · Physics 2011-12-22 Zurab Tavartkiladze

We present a numerical study of the spectrum of an asymptotically non-free $SU(2)$ gauge theory with $N_f=24$ massive fermion flavors. For such large number of flavors, asymptotic freedom is lost and the massless theory is governed by a…

High Energy Physics - Lattice · Physics 2022-09-02 Jarno Rantaharju , Tobias Rindlisbacher , Kari Rummukainen , Ahmed Salami , Kimmo Tuominen

We revisit the study of singular points in the Coulomb branch of $\mathcal{N}=2$ SQCD in four dimensions with gauge group $SU(N)$ and odd number of flavors. For certain choices of the mass parameters these vacua are not lifted by a mass…

High Energy Physics - Theory · Physics 2015-09-18 Stefano Bolognesi , Simone Giacomelli , Kenichi Konishi

I review a recent work on gauged flavor with left-right symmetry, where all masses and all Yukawa couplings owe their origin to spontaneous flavor symmetry breaking. This is suggested as a precursor to a full understanding of flavor of…

High Energy Physics - Phenomenology · Physics 2015-06-05 Rabindra N. Mohapatra

Pure SU(2) gauge theory is the simplest asymptotically free theory in four dimensions. To investigate Euclidean quantum gravity effects in a fundamental length scenario, we simulate 4$d$ SU(2) lattice gauge theory on a dynamically coupled…

High Energy Physics - Lattice · Physics 2009-10-22 Bernd A. Berg , Balasubramanian Krishnan , Mohammad Katoot

We present the first measurement of the vortex free-energy order parameter at weak coupling for SU(2) in simulations employing multihistogram methods. The result shows that the excitation probability for a sufficiently thick vortex in the…

High Energy Physics - Lattice · Physics 2009-10-31 T. G. Kovacs , E. T. Tomboulis

A three flavor linear sigma model with vector and axial-vector mesons is discussed. Preliminary results concerning on the symmetry breaking pattern, the question of parameterization, as well as the resulting meson masses are presented.

High Energy Physics - Phenomenology · Physics 2017-08-23 P. Kovacs , G. Wolf , F. Giacosa , D. Parganlija

We study the perturbative phase diagram of semi-simple fermionic gauge theories resembling the Standard Model. We investigate an $SU(N)$ gauge theory with $M$ Dirac flavors where we gauge first an $SU(M)_L$ and then an $SU(2)_L \subset…

High Energy Physics - Theory · Physics 2016-02-19 Jacob Kamuk Esbensen , Thomas A. Ryttov , Francesco Sannino

We review some recent progress in our understanding of the phase diagram of non abelian gauge theories, by varying their flavor content -- fermion representations and the number of flavors. In particular, we explore the way conformal…

High Energy Physics - Lattice · Physics 2010-11-05 E. Pallante

We use a $U(2)\times U(1)$ horizontal symmetry in order to construct supersymmetric models where the flavor structure of both quarks and leptons is induced naturally. The supersymmetric flavor changing neutral currents problem is solved by…

High Energy Physics - Phenomenology · Physics 2009-10-31 Galit Eyal

Inspired by recent studies of high-scale decay constant or flavorful QCD axions, we review and clarify their existence in effective string models with anomalous $U(1)$ gauge groups. We find that such models, when coupled to charged scalars…

High Energy Physics - Phenomenology · Physics 2019-01-21 Quentin Bonnefoy , Emilian Dudas

We show that a longitudinal gauge degree of freedom for a vector field is equivalent to a Pais-Uhlenbeck scalar field. With the help of this equivalence, we can determine natural interactions of this field with scalars and fermions. Since…

High Energy Physics - Theory · Physics 2013-09-12 Jose Beltrán Jiménez , Enea Di Dio , Ruth Durrer

The dual superconductivity of the vacuum in SU(3) gauge theory is investigated by constructing a disorder parameter which signals monopole condensation in various abelian projections and by studying numerically on the lattice its behaviour…

High Energy Physics - Lattice · Physics 2009-10-31 A. Di Giacomo , B. Lucini , L. Montesi , G. Paffuti

We consider a non-perturbative formulation of an SU(2) massive gauge theory on a space-time lattice, which is also a discretised gauged non-linear chiral model. The lattice model is shown to have an exactly conserved global SU(2) symmetry.…

High Energy Physics - Lattice · Physics 2015-06-17 Michele Della Morte , Pilar Hernandez