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An SU(2) gauge theory with two fermions transforming under the adjoint representation of the gauge group may appear conformal or almost conformal in the infrared. We use lattice simulations to study the spectrum of this theory and present…

高能物理 - 格点 · 物理学 2009-05-12 Ari J. Hietanen , Jarno Rantaharju , Kari Rummukainen , Kimmo Tuominen

We identify the global symmetries of SU(2) lattice gauge theory with N flavors of staggered fermion in the presence of a quark chemical potential mu, for fermions in both fundamental and adjoint representations, and anticipate likely…

高能物理 - 格点 · 物理学 2009-01-07 S. Hands , I. Montvay , S. Morrison , M. Oevers , L. Scorzato , J. Skullerud

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…

Extended simulation results and their analysis are reported in a strongly coupled gauge theory with twelve fermion flavors in the fundamental SU(3) color representation. The conformality of the model is probed using mass deformed conformal…

高能物理 - 格点 · 物理学 2012-11-20 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chris Schroeder , Chik Him Wong

We present the results of an exploratory numerical study of two dimensional QCD with overlap fermions. We have performed extensive simulations for U(N_c) and SU(N_c) color groups with N_c=2, 3, 4 and coupling constants chosen to satisfy the…

高能物理 - 格点 · 物理学 2009-11-07 F. Berruto , L. Giusti , C. Hoelbling , C. Rebbi

Many 2D lattice models of physical phenomena are conjectured to have conformally invariant scaling limits: percolation, Ising model, self-avoiding polymers, ... This has led to numerous exact (but non-rigorous) predictions of their scaling…

数学物理 · 物理学 2008-11-26 Stanislav Smirnov

We compute the spectrum of the low-lying mesonic states with vector, scalar and pseudoscalar quantum numbers in QCD with one flavour. With three colours the fundamental and the two-index anti-symmetric representations of the gauge group…

高能物理 - 格点 · 物理学 2023-06-13 Michele Della Morte , Benjamin Jäger , Francesco Sannino , Justus Tobias Tsang , Felix P. G. Ziegler

We address the interplay between local and global symmetries in determining the continuum limit of two-dimensional lattice scalar theories characterized by $SO(N_c)$ gauge symmetry and non-Abelian $O(N_f)$ global invariance. We argue that,…

高能物理 - 格点 · 物理学 2022-05-25 Claudio Bonati , Alessio Franchi

Van der Waerden's (VDW) colouring theorem in combinatoric number theory [1] has scope for physical applications.The solution of the two colour case has enabled the construction of an explicit mapping of an infinite, one dimensional…

凝聚态物理 · 物理学 2007-05-23 Debashis Gangopadhyay , Ranjan Chaudhury

In this work, we study the supersymmetric warped conformal field theory in two dimensions. We show that the Hofman-Strominger theorem on symmetry enhancement could be generalized to the supersymmetric case. More precisely, we find that…

高能物理 - 理论 · 物理学 2020-09-30 Bin Chen , Peng-xiang Hao , Yan-jun Liu

The generalization of QCD to many colors is not unique; each distinct choice corresponds to a distinct 1/N_c expansion. The familiar 't Hooft N_c -> \infty limit places quarks in the fundamental representation of SU(N_c), while an…

高能物理 - 唯象学 · 物理学 2009-09-02 Aleksey Cherman , Thomas D. Cohen , Richard F. Lebed

Conformal symmetry is expected to be realized in many equilibrium statistical mechanical systems at criticality. Although this is certainly true in two-dimensional systems, the three-dimensional case is subtler, and only a few proofs exist,…

统计力学 · 物理学 2026-04-28 Santiago Cabrera , Gonzalo De Polsi , Adam Rançon , Nicolás Wschebor

We examine one-flavour $SU(N_c)$ gauge theories, where $N_c$ denotes the number of colors, with one fermion in the antisymmetric representation as a candidate to approximate $\mathcal{N}=1$ super Yang Mills due to their equivalence in the…

高能物理 - 格点 · 物理学 2023-12-20 Michele Della Morte , Benjamin Jäger , Sofie Martins , Justus Tobias Tsang , Felix P. G. Ziegler

We discuss the lattice formulation of gauge theories with fermions in arbitrary representations of the color group, and present the implementation of the RHMC algorithm for simulating dynamical Wilson fermions. A first dataset is presented…

高能物理 - 格点 · 物理学 2010-01-21 Luigi Del Debbio , Agostino Patella , Claudio Pica

We study by non perturbative techniques a vector, axial--vector theory characterized by a parameter which interpolates between pure vector and chiral Schwinger models. Main results are two windows in the space of parameters which exhibit…

高能物理 - 理论 · 物理学 2009-10-22 A. Bassetto , L. Griguolo , P. Zanca

We investigate properties of the color space of $SU(N_c)$ gauge theories in the limit of small number of colors $(N_c \to 0)$ and large number of flavors. More generally, we introduce a rescaling of $\alpha_s$ and $n_f$ which assigns a…

高能物理 - 唯象学 · 物理学 2009-09-11 Stanley J. Brodsky , Patrick Huet

We present a study of spectroscopy of SU(4) lattice gauge theory coupled to two flavors of Dirac fermions in the anti-symmetric two index representation. The fermion representation is real, and the pattern of chiral symmetry breaking is…

高能物理 - 格点 · 物理学 2016-11-22 Thomas DeGrand , Yuzhi Liu , Ethan T. Neil , Yigal Shamir , Benjamin Svetitsky

The complete knowledge of a theory is encoded in its correlation functions. Thus non-perturbative effects, like confinement in QCD, is necessarily contained in these correlation functions. As a consequence, a number of confinement scenarios…

高能物理 - 格点 · 物理学 2013-10-31 Tajdar Mufti , Axel Maas

We show that the nonperturbative solution of the SU(2) linear sigma model field theory requires color number Nc=3. Also, we show that the three-point and four-point functions bootstrap (or nonperturbatively ``shrink'') in the chiral limit…

高能物理 - 唯象学 · 物理学 2017-08-23 M. D. Scadron

Motivated by recent scenarios of exotic infrared behaviour and by earlier lattice findings, we present results for the SU(2) gauge theory with one Dirac flavor in the adjoint representation. This provides a major update on our previous…

高能物理 - 格点 · 物理学 2021-11-11 Ed Bennett , Andreas Athenodorou , Georg Bergner , Biagio Lucini