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We simulate SU(2) gauge theory with six massless fundamental Dirac fermions. By using the Schr\"odinger Functional method we measure the running of the coupling and the fermion mass over a wide range of length scales. We observe very slow…

High Energy Physics - Phenomenology · Physics 2015-03-17 Francis Bursa , Luigi Del Debbio , Liam Keegan , Claudio Pica , Thomas Pickup

We investigate the effects of four-fermion interactions on the phase diagram of strongly interacting theories for any representation as function of the number of colors and flavors. We show that the conformal window, for any representation,…

High Energy Physics - Phenomenology · Physics 2011-02-28 Hidenori S. Fukano , Francesco Sannino

We study quantum corrections to an extra dimensional Yukawa theory where a single flat extra spatial dimension is compactified on an interval. At a UV scale this theory can be made equivalent to a 5D theory with a bulk four-fermion operator…

High Energy Physics - Phenomenology · Physics 2011-11-18 Don Bunk , Jay Hubisz , Jing Shao , Philip Tanedo

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

Quantum electrodynamics in 2+1 dimensions is an effective gauge theory for the so called algebraic quantum liquids. A new type of such a liquid, the algebraic charge liquid, has been proposed recently in the context of deconfined quantum…

Strongly Correlated Electrons · Physics 2008-05-06 Flavio S. Nogueira

The notorious fermion sign problem, arising from fermion statistics, presents a fundamental obstacle to the numerical simulation of quantum many-body systems. Here, we introduce a framework that circumvents the sign problem in the studies…

Strongly Correlated Electrons · Physics 2026-01-07 Yin-Kai Yu , Zhi-Xuan Li , Shuai Yin , Zi-Xiang Li

Prompted by the recent better determination of the angles of the unitarity triangle, we re-appraise the problem of finding simple fermion mass textures, possibly linked to some symmetry principle and compatible with grand unification. In…

High Energy Physics - Phenomenology · Physics 2008-11-26 I. Masina , C. A. Savoy

We compare the critical multipoint correlation functions for two-dimensional (massless) Dirac fermions in the presence of a random su(N) (non-Abelian) gauge potential, obtained by three different methods. We critically reexamine previous…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. J. Bhaseen , J. -S. Caux , I. I. Kogan , A. M. Tsvelik

In this paper, we investigate a five-dimensional Dirac fermion on a quantum graph that consists of a single vertex and $N$ loops. We find that the model possesses a rich structure of boundary conditions for wavefunctions on the quantum…

High Energy Physics - Theory · Physics 2020-01-08 Yukihiro Fujimoto , Tomonori Inoue , Makoto Sakamoto , Kazunori Takenaga , Inori Ueba

We have recently proposed a setup of the "Domain-Wall Standard Model" in 5D spacetime, where all the Standard Model (SM) fields are localized in certain domains of the extra 5th dimension. Utilizing this setup, we attempt to solve the…

High Energy Physics - Phenomenology · Physics 2020-01-08 Nobuchika Okada , Digesh Raut , Desmond Villalba

Supersymmetric (SUSY) gauge theories such as the Minimal Supersymmetric Standard Model play a fundamental role in modern particle physics, but have not been verified so far in nature. Here, we show that a SUSY gauge theory with dynamical…

Strongly Correlated Electrons · Physics 2017-04-19 Shao-Kai Jian , Chien-Hung Lin , Joseph Maciejko , Hong Yao

In this paper we examine a phase transition in $SU(N_{c})$ gauge theories governed by the existence of an infrared fixed point of the renormalization group $\beta$ function. The nonlinear integral Schwinger-Dyson equation for a mass…

High Energy Physics - Phenomenology · Physics 2007-10-09 Oleksandr Gromenko

A spontaneously broken SU(2)xU(1) gauge theory with just one "primordial" generation of fermions is formulated in the context of generally covariant theory which contains two measures of integration in the action: the standard…

High Energy Physics - Theory · Physics 2014-11-18 E. I. Guendelman , A. B. Kaganovich

The Gross-Neveu-Heisenberg universality class describes a continuous quantum phase transition between a Dirac semimetal and an antiferromagnetic insulator. Such quantum critical points have originally been discussed in the context of…

Strongly Correlated Electrons · Physics 2023-06-02 Konstantinos Ladovrechis , Shouryya Ray , Tobias Meng , Lukas Janssen

We study the vacuum structure of three-dimensional $SU(N)$ gauge theory coupled to a Chern-Simons term at level $k$ and to $F$ fundamental Dirac fermions. We use a large $N$ holographic description based on a D3/D7 system in type IIB string…

High Energy Physics - Theory · Physics 2020-08-26 Riccardo Argurio , Adi Armoni , Matteo Bertolini , Francesco Mignosa , Pierluigi Niro

We study gauge symmetry in F-theory in light of global aspects. For this, we consider not only a simple (local) group, but also a semi-simple group with Abelian factors. Once we specify the complete gauge group by decomposing the…

High Energy Physics - Theory · Physics 2010-02-23 Kang-Sin Choi

We report new results on nearly conformal gauge theories with fermions in the fundamental representation of the SU(3) color gauge group as the number of fermion flavors is varied in the Nf = 4-16 range. To unambiguously identify the…

High Energy Physics - Lattice · Physics 2009-11-05 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chris Schroeder

It was recently established that the paradigmatic Gross--Neveu model with $N$ copies of two-dimensional Dirac fermions features an $\mathrm{SO}(2N)$ symmetry if certain interactions are suppressed. This becomes evident when the theory is…

High Energy Physics - Theory · Physics 2026-03-17 Bilal Hawashin , Max Uetrecht

Gauge theories with fermions in adjoint and fundamental representations are relevant for many different applications including composite Higgs models and general aspects of the confinement problem. We present first results from simulations…

High Energy Physics - Lattice · Physics 2021-12-01 Georg Bergner , Stefano Piemonte

QCD with gauge group $SU(N_c)$ flows to an interacting conformal fixed point in three spacetime dimensions when the number of four-component Dirac fermions $N_f \gg N_c$. We study the stability of this fixed point via the…

High Energy Physics - Theory · Physics 2016-09-28 Hart Goldman , Michael Mulligan