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We undertake a systematic study of the $4$-dimensional $SU(N)$ $2$-index chiral gauge theories and investigate their faithful global symmetries and dynamics. These are a finite set of theories with fermions in the $2$-index symmetric and…

High Energy Physics - Theory · Physics 2024-01-10 Mohamed M. Anber , Samson Y. L. Chan

We study a class of four-dimensional $\mathcal{N}=2$ SU($N$) gauge theories with two massless hypermultiplets in the rank-two antisymmetric representation and $0\leq N_f\leq 4$ fundamental flavors. These theories are superconformal for…

High Energy Physics - Theory · Physics 2026-05-19 M. Billo , A. Lerda , A. Testa

We present exact results in softly-broken supersymmetric $\text{SU}(N_C)$ chiral gauge theories with charged fermions in one antisymmetric, $N_F$ fundamental, and $N_C+N_F-4$ anti-fundamental representations. We achieve this by considering…

High Energy Physics - Theory · Physics 2025-05-08 Jacob M. Leedom , Hitoshi Murayama , Gup Singh , Bethany Suter , Jason Wong

We critically reconsider the argument based on 't Hooft anomaly matching that aims at proving chiral symmetry breaking in confining four-dimensional QCD-like theories with $N_c>2$ colors and $N_f$ flavors. The main line of reasoning relies…

High Energy Physics - Theory · Physics 2025-01-03 Luca Ciambriello , Roberto Contino , Andrea Luzio , Marcello Romano , Ling-Xiao Xu

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 review the computation of off-forward anomalous dimensions in the limit of a large number of quark flavors $n_f$. The method is based on a consistency relation the anomalous dimensions have to obey, which is a direct consequence of the…

High Energy Physics - Phenomenology · Physics 2022-06-10 S. Van Thurenhout , S. Moch

We study higher symmetries and anomalies of 4d $\mathfrak{so}(2n_c)$ gauge theory with $2n_f$ flavors. We find that they depend on the parity of $n_c$ and $n_f$, the global form of the gauge group, and the discrete theta angle. The…

High Energy Physics - Theory · Physics 2021-11-03 Yasunori Lee , Kantaro Ohmori , Yuji Tachikawa

We present some results for SU(2) with one adjoint Dirac flavour from lattice studies. Data for the spectroscopy, the static potential, topological charge, and the anomalous dimension of the fermionic condensate are included. Our findings…

High Energy Physics - Lattice · Physics 2015-08-03 Andreas Athenodorou , Ed Bennett , Georg Bergner , Biagio Lucini

Based on simulations of 2+1 flavor lattice QCD with M\"obius domain wall fermions at high temperatures, we compute a series of spatial correlation functions to study the screening masses in mesonic states. We compare these masses with the…

High Energy Physics - Lattice · Physics 2024-01-25 David Ward , Sinya Aoki , Yasumichi Aoki , Hidenori Fukaya , Shoji Hashimoto , Issaku Kanamori , Takashi Kaneko , Jishnu Goswami , Yu Zhang

We investigate the chiral phase transition at finite temperature (T) in colour SU(Nc=3) Quantum Chromodynamics (QCD) with six species of fermions (Nf=6) in the fundamental representation by using lattice QCD with improved staggered…

High Energy Physics - Lattice · Physics 2012-03-30 Kohtaroh Miura , Maria Paola Lombardo , Elisabetta Pallante

We address the interplay between global and local gauge nonabelian symmetries in lattice gauge theories with multicomponent scalar fields. We consider two-dimensional lattice scalar nonabelian gauge theories with a local SO(Nc) (Nc >= 3)…

High Energy Physics - Lattice · Physics 2020-09-02 Claudio Bonati , Alessio Franchi , Andrea Pelissetto , Ettore Vicari

Two-dimensional materials with interacting Dirac excitations can host quantum multicritical behavior near the phase boundaries of the semimetallic and two-ordered phases. We study such behavior in Gross--Neveu--Yukawa field theories where…

Strongly Correlated Electrons · Physics 2025-08-18 Max Uetrecht , Igor F. Herbut , Michael M. Scherer , Emmanuel Stamou , Tom Steudtner

The phase diagrams at high temperature of SU(N) gauge theories with massive fermions are calculated by numerically minimizing the one-loop effective potential. We consider fermions in the Fundamental (F), Adjoint (Adj), Antisymmetric (AS),…

High Energy Physics - Lattice · Physics 2010-01-21 Joyce C. Myers , Michael C. Ogilvie

We construct unitary, stable, and interacting conformal boundary conditions for a free massless scalar in four dimensions by coupling it to edge modes living on a boundary. The boundary theories we consider are bosonic and fermionic QED$_3$…

High Energy Physics - Theory · Physics 2024-04-03 Lorenzo Di Pietro , Edoardo Lauria , Pierluigi Niro

We study QCD-like four dimensional theories in the theoretically controlled framework of deformation theory and/or twisted partition function on S*1 x R*3. By using duality, we show that a class of one-flavor theories exhibit new physical…

High Energy Physics - Theory · Physics 2010-02-23 Erich Poppitz , Mithat Unsal

Infrared fixed points of gauge theories provide intriguing targets for the modern conformal bootstrap program. In this work we provide some preliminary evidence that a family of gauged fermionic CFTs saturate bootstrap bounds and can…

High Energy Physics - Theory · Physics 2021-03-29 Zhijin Li , David Poland

Massless overlap fermions in the real representation of two dimensional $SU(N_c)$ gauge theories exhibit a mod($2$) index due to the rigidity of its spectrum when viewed as a function of the background gauge field - lattice gauge fields on…

High Energy Physics - Lattice · Physics 2025-09-12 Rajamani Narayanan , Ray Romero

We explore the thermodynamics of the 1+1-dimensional Gross-Neveu (GN) model at finite number of fermion flavors $N_f$, finite temperature and finite chemical potential using lattice field theory. In the limit $N_f \rightarrow \infty$ the…

High Energy Physics - Lattice · Physics 2020-12-02 Julian Lenz , Laurin Pannullo , Marc Wagner , Björn Wellegehausen , Andreas Wipf

We construct two classes of continuous phase transitions in 3+1 dimensions between gapped phases that break distinct generalized global symmetries. Our analysis focuses on $SU(N)/\mathbb{Z}_N$ gauge theory coupled to $N_f$ flavors of…

Strongly Correlated Electrons · Physics 2025-12-04 Benjamin Moy

We consider an asymptotically free vectorial gauge theory, with gauge group $G$ and $N_f$ fermions in a representation $R$ of $G$, having an infrared fixed point of the renormalization group. We calculate scheme-independent series…

High Energy Physics - Phenomenology · Physics 2020-04-27 Thomas A. Ryttov , Robert Shrock