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We have measured the running coupling constant of SU(3) gauge theory coupled to Nf=2 flavors of symmetric representation fermions, using the Schrodinger functional scheme. Our lattice action is defined with hypercubic smeared links which,…

High Energy Physics - Lattice · Physics 2014-11-21 Thomas DeGrand , Yigal Shamir , Benjamin Svetitsky

We construct a conformal lattice theory with only gauge degrees of freedom based on the induced non-local gauge action in QED$_3$ coupled to large number of flavors $N$ of massless two-component Dirac fermions. This lattice system displays…

High Energy Physics - Lattice · Physics 2020-12-23 Nikhil Karthik , Rajamani Narayanan

We present a simple argument which seems to favor, when applied to a large class of strongly-coupled chiral gauge theories, a dynamical-Higgs-phase scenario, characterized by certain bifermion condensates. Flavor symmetric confining vacua…

High Energy Physics - Theory · Physics 2021-09-01 Stefano Bolognesi , Kenichi Konishi , Andrea Luzio

We study the spectrum of the confining strings in four-dimensional SU(N) gauge theories. We compute, for the SU(4) and SU(6) gauge theories formulated on a lattice, the string tensions sigma_k related to sources with Z_N charge k, using…

High Energy Physics - Theory · Physics 2009-11-07 Luigi Del Debbio , Haralambos Panagopoulos , Paolo Rossi , Ettore Vicari

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

The massive N-flavor Schwinger model is analyzed by the bosonization method. The problem is reduced to the quantum mechanics of N degrees of freedom in which the potential needs to be self-consistently determined by its ground-state wave…

High Energy Physics - Theory · Physics 2008-11-26 Yutaka Hosotani , Ramon Rodriguez

In this paper, we propose a $G_{L-R}\times U(1)_{L_\mu-L_\tau}$ gauge-symmetric model where $G_{L-R}$ is the left-right gauge symmetry and $L_i$ is the $i-$flavor lepton number. We use the spontaneous breaking (SSB) of $U(1)_{L_\mu-L_\tau}$…

High Energy Physics - Phenomenology · Physics 2018-01-31 Abhish Dev

I construct a Lattice Gauge Theory (LGT) with discrete Z_2 structure group and an equivariant BRST symmetry that is physically equivalent to the standard SU(2)-LGT. The measure of this Z_2-LGT is invariant under all the discrete symmetries…

High Energy Physics - Lattice · Physics 2016-08-25 Martin Schaden

We propose a continuous real space renormalization group transformation based on gradient flow, allowing for a numerical study of renormalization without the need for costly ensemble matching. We apply our technique in a pilot study of…

High Energy Physics - Lattice · Physics 2018-11-19 Andrea Carosso , Anna Hasenfratz , Ethan T. Neil

't Hooft anomaly matching is powerful for constraining the low energy phases of gauge theories. In 3d one common anomaly is the parity anomaly in a $T$-symmetric theory where one cannot gauge the global symmetry group without breaking the…

High Energy Physics - Theory · Physics 2022-08-03 Nakarin Lohitsiri , Tin Sulejmanpasic

Composite Higgs models must exhibit very different dynamics from quantum chromodynamics (QCD) regardless whether they describe the Higgs boson as a dilatonlike state or a pseudo-Nambu-Goldstone boson. Large separation of scales and large…

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 describe the chiral phase transition for vector-like SU(N) gauge theories as a function of the number of quark flavors Nf by making use of an anomaly-induced effective potential. The potential depends explicitly on the full beta-function…

High Energy Physics - Phenomenology · Physics 2010-12-13 Francesco Sannino

The mass anomalous dimension is determined in SU(2) gauge theory coupled to $N_f$ fermions in the adjoint representation for $N_f = 2$, $3/2$, $1$ and $1/2$, where half-integer flavor numbers correspond to Majorana fermions. The numerical…

High Energy Physics - Lattice · Physics 2020-11-06 Camilo Lopez , Georg Bergner , Istvan Montvay , Stefano Piemonte

We investigate the chiral properties of SU(2) gauge theory with six flavors, i.e. six light Dirac fermions in the fundamental representations by lattice simulation, and point out that the spontaneous breakdown of chiral symmetry does not…

High Energy Physics - Lattice · Physics 2013-11-27 M. Hayakawa , K. -I. Ishikawa , S. Takeda , M. Tomii , N. Yamada

We study the 4-th Binder cumulant on $4\times{N_\sigma}^3$ lattices for a pure SU(2) gauge theory. We use 20 data points for a sequence of ${N_\sigma}$ in $\beta$ intervals shrinking when ${N_\sigma}$ increases, in order to reduce the…

High Energy Physics - Lattice · Physics 2010-11-05 A. Denbleyker , Yuzhi Liu , Y. Meurice , A. Velytsky

We study the theta dependence of the spectrum of four-dimensional SU(N) gauge theories, where theta is the coefficient of the topological term in the Lagrangian, for N>=3 and in the large-N limit. We compute the O(theta^2) terms of the…

High Energy Physics - Theory · Physics 2008-11-26 Luigi Del Debbio , Gian Mario Manca , Haralambos Panagopoulos , Apostolos Skouroupathis , Ettore Vicari

SU(3) gauge theory with overlap fermions in the 2-index symmetric (sextet) and fundamental representations is considered. A priori it is not known what the pattern of chiral symmetry breaking is in a higher dimensional representation…

High Energy Physics - Lattice · Physics 2010-04-30 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chris Schroeder

We introduce a new concept "conformal theories with an IR cutoff", after pointing out that the following two categories in SU(3) gauge theories with fundamental N_f fermions possess an IR fixed point: Large N_f QCD with N_f in the conformal…

High Energy Physics - Lattice · Physics 2013-11-14 Y. Iwasaki

We give a new perspective on the dynamics of conformal theories realized in the SU(N) gauge theory, when the number of flavors N_f is within the conformal window. Motivated by the RG argument on conformal theories with a finite IR cutoff…

High Energy Physics - Lattice · Physics 2015-06-12 K. -I. Ishikawa , Y. Iwasaki , Yu Nakayama , T. Yoshie
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