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We investigate the phase structure of SU(4) gauge theory with the gauge field simultaneously coupled to two flavors of fermion in the fundamental representation and two flavors of fermion in the two-index antisymmetric representation. We…

High Energy Physics - Lattice · Physics 2018-06-13 Venkitesh Ayyar , Thomas DeGrand , Daniel C. Hackett , William I. Jay , Ethan T. Neil , Yigal Shamir , Benjamin Svetitsky

We investigate the chiral dynamics of gauge theories developing an infrared stable fixed point. We determine the dependence of the bilinear fermion condensate on the underlying fermion mass and its anomalous dimension. We introduce the…

High Energy Physics - Phenomenology · Physics 2010-04-21 Francesco Sannino

We study the gauge-fixing approach to the construction of lattice chiral gauge theories in one-loop weak-coupling perturbation theory. We show how infrared properties of the gauge degrees of freedom determine the nature of the continuous…

High Energy Physics - Lattice · Physics 2016-08-25 Wolfgang Bock , Maarten Golterman , Yigal Shamir

The dynamics with an infrared stable fixed point in the conformal window in QCD like theories (with a relatively large number of fermion flavors) is studied. The dependence of masses of colorless bound states on a bare fermion mass is…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. A. Miransky

We use lattice simulations and the continuous renormalization-group method, based on the gradient flow, to study a candidate theory of composite Higgs and a partially composite top. The model is an SU(4) gauge theory with four Dirac…

High Energy Physics - Lattice · Physics 2023-06-21 Anna Hasenfratz , Ethan T. Neil , Yigal Shamir , Benjamin Svetitsky , Oliver Witzel

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

The interplay of deconfinement and chiral symmetry restoration are considered in terms of effective theories. We generalize the earlier model studies by considering fermions in higher representations, and study the finite temperature phase…

High Energy Physics - Phenomenology · Physics 2015-06-04 T. Kähärä , M. Ruggieri , K. Tuominen

We consider the problem of soft scattering for the analogue of pion states in gauge-fermion theories which approach a conformal fixed point in the infrared limit. Introducing a fermion mass into such a theory will explicitly break both…

High Energy Physics - Phenomenology · Physics 2023-08-09 Daniel C. Hackett , Ethan T. Neil

Inspired by the Dirac model model of graphene, we consider a $(2+1)$-dimensional fermionic system in which fermions are described by four-component spinors. These fermions are proposed to interact with an electromagnetic field originating…

High Energy Physics - Theory · Physics 2025-04-04 Sergey N. Solodukhin

We consider an asymptotically free vectorial SU($N_c$) gauge theory with $N_f$ massless fermions in a representation $R$, having an infrared fixed point (IRFP) of the renormalization group at $\alpha_{IR}$ in the conformal non-Abelian…

High Energy Physics - Theory · Physics 2017-04-19 Thomas A. Ryttov , Robert Shrock

We use the worldline formalism to derive a universal relation for the lower boundary of the conformal window in non-supersymmetric QCD-like theories. The derivation relies on the convergence of the expansion of the fermionic determinant in…

High Energy Physics - Phenomenology · Physics 2009-11-18 Adi Armoni

We consider the $Sp(4)$ gauge theory coupled to $N_f=2$ fundamental and $n_f=3$ antisymmetric flavours of Dirac fermions in four dimensions. This theory serves as the microscopic origin for composite Higgs models with $SU(4)/Sp(4)$ coset,…

High Energy Physics - Lattice · Physics 2022-07-20 Ed Bennett , Deog Ki Hong , Ho Hsiao , Jong-Wan Lee , C. -J. David Lin , Biagio Lucini , Michele Mesiti , Maurizio Piai , Davide Vadacchino

We propose to construct a chirally broken model based on the infrared fixed point of a conformal system by raising the mass of some flavors while keeping the others massless. In the infrared limit the massive fermions decouple and the…

High Energy Physics - Phenomenology · Physics 2016-04-29 R. C. Brower , A. Hasenfratz , C. Rebbi , E. Weinberg , O. Witzel

Many evidences from lattice simulations support the idea that SU(2) with two Dirac flavors in the adjoint representation (also called Minimal Walking Technicolor) is IR conformal. A possible way to see this is through the behavior of the…

High Energy Physics - Lattice · Physics 2011-11-22 Luigi Del Debbio , Biagio Lucini , Agostino Patella , Claudio Pica , Antonio Rago

We investigate dynamical symmetry breaking in a class of chiral gauge theories containing the Georgi-Glashow model. These theories feature a gauge sector and two fermion species that transform in the two-index antisymmetric and…

High Energy Physics - Theory · Physics 2025-12-09 Hao-Lin Li , Álvaro Pastor-Gutiérrez , Shahram Vatani , Ling-Xiao Xu

Chiral defect fermions in the background of an external, $2n$ dimensional gauge field are considered. Assuming first a finite extra dimension, we calculate the axial anomaly in a vector-like, gauge invariant model for arbitrary $n$, and the…

High Energy Physics - Lattice · Physics 2009-10-22 Yigal Shamir

We report evidence for a continuous transition from an infrared conformal phase to a chirally broken one in four dimensions. We study a model with two Dirac fermions in the adjoint representation of an SU(2) gauge interaction and a chirally…

High Energy Physics - Phenomenology · Physics 2020-08-26 Jarno Rantaharju , Claudio Pica , Francesco Sannino

We use lattice simulations to study SU(3) gauge theory with 13 massless fermions in the fundamental representation. We present evidence that the theory is conformal with a non-zero infrared fixed point in the gauge coupling. We use a…

High Energy Physics - Lattice · Physics 2018-11-14 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chik Him Wong

Chiral edge states of 2+1 dimensional Abelian and non-Abelian topological phases can be represented by chiral conformal field theories with integer and non-integer values of central charge, respectively. In this work we describe certain…

High Energy Physics - Theory · Physics 2019-10-16 Carlos A. Hernaski , Pedro R. S. Gomes

We investigate SU(3) gauge theories in four dimensions with Nf fundamental fermions, on a lattice using the Wilson fermion. Clarifying the vacuum structure in terms of Polyakov loops in spatial directions and properties of temporal…

High Energy Physics - Lattice · Physics 2014-06-18 K. -I. Ishikawa , Y. Iwasaki , Yu Nakayama , T. Yoshie
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