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We propose a six-dimensional regularization of four dimensional chiral gauge theories. We consider a massive Dirac fermion in six dimensions with two different operators having domain-wall profiles in the fifth and the sixth directions,…

High Energy Physics - Lattice · Physics 2017-05-18 Hidenori Fukaya , Tetsuya Onogi , Shota Yamamoto , Ryo Yamamura

Theories with large mass anomalous dimensions ($\gamma_m$) have been extensively studied because of their deep consequences for models where the scalar bosons are composite. Large $\gamma_m$ values may appear when a non-Abelian gauge theory…

High Energy Physics - Phenomenology · Physics 2017-06-28 A. Doff , A. A. Natale

The feasibility of studying, numerically, properties of infinite volume QCD-like theories in the large $N$ limit using coherent state variational methods is reassessed. An entirely new implementation of this approach is described,…

High Energy Physics - Lattice · Physics 2026-02-05 Laurence G. Yaffe

We construct two-dimensional ${\cal N} = (2, 2)$ supersymmetric gauge theories on a Euclidean spacetime lattice with matter in the two-index symmetric and anti-symmetric representations of SU($N_c$) color group. These lattice theories…

High Energy Physics - Lattice · Physics 2015-06-19 Anosh Joseph

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 the issue of gauge invariance in five-dimensional theories compactified on an orbifold $S^1/(\mathbb{Z}_2\times \mathbb{Z}^\prime_2)$ in the presence of an external U(1) gauge field. From the four-dimensional point We study the…

High Energy Physics - Theory · Physics 2009-11-07 Luigi Pilo , Antonio Riotto

We analyze the meson spectrum in SU(N_c) lattice gauge theory. We use Wilson quarks to measure the pseudoscalar and vector masses in SU(2), SU(3), SU(4) and SU(6), and extrapolate to the large-N_c limit. We find that finite-N_c corrections…

High Energy Physics - Lattice · Physics 2008-11-26 Gunnar Bali , Francis Bursa

We include fermions to the model proposed in hep-th/0606021, and obtain a renormalizable 4-dimensional SU(N) gauge theory which spontaneously generates fuzzy extra dimensions and behaves like Yang-Mills theory on M^4 \times S^2. We find a…

High Energy Physics - Theory · Physics 2009-04-17 Harold Steinacker , George Zoupanos

We study the unconventional behavior of massless Dirac fermions due to interaction with a U(1) gauge field in two spatial dimensions. At zero chemical potential, the longitudinal and transverse components of gauge interaction are both…

Strongly Correlated Electrons · Physics 2012-05-14 Jing Wang , Guo-Zhu Liu

Two-dimensional SU$(N)$ gauge theory coupled to a Majorana fermion in the adjoint representation is a nice toy model for higher-dimensional gauge dynamics. It possesses a multitude of "gluinoball" bound states whose spectrum has been…

High Energy Physics - Theory · Physics 2021-10-27 Ross Dempsey , Igor R. Klebanov , Silviu S. Pufu

A strategy for computing the psibar-psi anomalous dimension at the fixed point in infrared-conformal gauge theories from lattice simulations is discussed. The method is based on the scaling of the spectral density of the Dirac operator or…

High Energy Physics - Lattice · Physics 2012-08-20 Agostino Patella

We calculate the string tension and part of the mass spectrum of SU(4) and SU(6) gauge theories in 2+1 dimensions using lattice techniques. We combine these new results with older results for N=2,...,5 so as to obtain more accurate…

High Energy Physics - Lattice · Physics 2009-11-07 B. Lucini , M. Teper

We present four-loop results for the gauge beta-function and the fermion mass anomalous dimension for a gauge theory with a general gauge group and a multiplet of fermions transforming according to an arbitrary representation, calculated…

High Energy Physics - Theory · Physics 2009-11-18 Ian Jack , D. R. Timothy Jones , Philipp Kant , Luminita Mihaila

Recently it has been found that in a noncompact formulation of the SU(2) gauge theory on a lattice the physical volume is larger than in the Wilson theory with the same number of sites. In its original formulation such noncompact…

High Energy Physics - Lattice · Physics 2007-05-23 Giuseppe Di Carlo , Fabrizio Palumbo , Roberto Scimia

We study $4$-dimensional $SU(N)\times U(1)$ gauge theories with a single massless Dirac fermion in the $2$-index symmetric/antisymmetric representations and show that they are endowed with a noninvertible $0$-form $\widetilde {\mathbb…

High Energy Physics - Theory · Physics 2023-08-23 Mohamed M. Anber , Erich Poppitz

We explore aspects of the phase structure of SU(2) and SU(3) lattice gauge theories at strong coupling with many flavours $N_f$ of Wilson fermions in the fundamental representation. The pseudoscalar meson mass as a function of hopping…

High Energy Physics - Lattice · Physics 2010-04-30 Kei-ichi Nagai , Georgina Carrillo-Ruiz , Gergana Koleva , Randy Lewis

We discuss a novel manifestation of the $SU(2)$ global anomaly in an $SU(2)$ gauge theory with an odd number of chiral quark doublets and arbitrary Yukawa couplings. We argue that the massive 4-dim.($D=4$) Euclidean Dirac operator is…

High Energy Physics - Phenomenology · Physics 2009-10-22 Minos Axenides , A. Johansen , H. B. Nielsen

We propose that, in SU(3) gauge theories with fundamental quarks, confinement can be inferred from spectral density of the Dirac operator. This stems from the proposition that its possible behaviors are exhausted by three distinct types…

High Energy Physics - Lattice · Physics 2015-09-02 Andrei Alexandru , Ivan Horváth

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 propose a regularization of four dimensional chiral gauge theories using six-dimensional Dirac fermions. In our formulation, we consider two different mass terms having domain-wall profiles in the fifth and the sixth directions,…

High Energy Physics - Theory · Physics 2019-12-06 Hidenori Fukaya , Tetsuya Onogi , Shota Yamamoto , Ryo Yamamura
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