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We investigate the superconformal index of a three-dimensional $SU(2)$ ${\mathcal N}=2$ supersymmetric QCD with $N_f=4$ flavors. This theory confines with the breaking of a global symmetry. We obtain the index of this theory by integrating…

高能物理 - 理论 · 物理学 2023-03-02 Ilmar Gahramanov

We report our finding of a two scale cut off structure in the infrared nonperturbative dynamics of Pade couplant QCD, in the flavor states $N_{f} \le 8$. We argue that these two NPQCD momentum scales $Q_{c}(Y_{1})$ and $Q_{c}(Y_{2})$ can be…

高能物理 - 唯象学 · 物理学 2007-05-23 F. N. Ndili

In the (2+1)-dimensional QED with and without the Chern-Simons term, we find the non-local gauge in which there is no wavefunction renormalization for the fermion in the framework of the Schwinger-Dyson equation. By solving the…

高能物理 - 唯象学 · 物理学 2009-10-28 Kei-Ichi Kondo , Toru Ebihara , Takuya Iizuka , Eiji Tanaka

A Higgs description for the QCD vacuum in the limit of two quark flavors is proposed. Complete ``spontaneous breaking'' of color symmetry is realized by condensation of an adjoint quark-antiquark and a quark-quark pair. The vacuum is…

高能物理 - 唯象学 · 物理学 2010-02-04 J. Berges , C. Wetterich

The Thirring model is an interacting fermion theory with current-current interaction. The model in $1+2$ dimensions has applications in condensed-matter physics to describe the electronic excitations of Dirac materials. Earlier…

高能物理 - 格点 · 物理学 2019-09-11 Julian Lenz , Björn Wellegehausen , Andreas Wipf

We discuss the confining and chiral-symmetry breaking properties of QCD with a large number of flavors $N_f$. In a Monte Carlo simulation of QCD with $N_f =16$ staggered fermions, we find clear evidence of a first order bulk phase…

高能物理 - 格点 · 物理学 2009-10-30 P. H. Damgaard , U. M. Heller , A. Krasnitz , P. Olesen

Non-compact three-dimensional QED is studied by computer simulations to understand its chiral symmetry breaking features for N_f>=2, on lattice volumes up to 50^3 and bare masses as low as ma=0.0000625. We compute the chiral condensate,…

高能物理 - 格点 · 物理学 2009-11-07 S. J. Hands , J. B. Kogut , C. G. Strouthos

We present an updated study of the $N_f=3$ QCD phase transition using M\"{o}bius domain wall fermions. Simulations were performed on $N_t=12$ lattices with aspect ratios ranging from 2 to 4 for various quark masses, at a lattice spacing of…

高能物理 - 格点 · 物理学 2025-02-11 Yu Zhang , Yasumichi Aoki , Shoji Hashimoto , Issaku Kanamori , Takashi Kaneko , Yoshifumi Nakamura

The mass splittings in the pseudoscalar mesons are studied by combining 2+1 flavor domain wall fermion gauge configurations, generated by the RBC/UKQCD collaborations, and quenched, non-compact, lattice QED configurations. We extract the…

高能物理 - 格点 · 物理学 2010-11-05 Ran Zhou , Shunpei Uno

Previous analytical studies of quantum electrodynamics in $2+1$ dimensions (QED3) have shown the existence of a critical number of fermions for onset of chiral symmetry breaking, the most known being the value $N_c\approx3.28$ obtained by…

高能物理 - 唯象学 · 物理学 2016-12-13 V. P. Gusynin , P. K. Pyatkovskiy

Over the past few years three dimensional Quantum Electrodynamics (QED$_3$) has attracted a lot of attention, because it may be an effective theory for the underdoped and non-superconducting region of the phase diagram of high $T_c$ cuprate…

超导电性 · 物理学 2009-04-17 Costas Strouthos , John B. Kogut

We present a direct Monte-Carlo determination of the scaling dimension of a topological defect operator in the infrared fixed point of a three-dimensional interacting quantum field theory. For this, we compute the free energy to introduce…

高能物理 - 格点 · 物理学 2019-10-02 Nikhil Karthik , Rajamani Narayanan

We present new results on chiral symmetry breaking in nearly conformal gauge theories with fermions in the fundamental representation of the SU(3) color gauge group. The number of fermion flavors is varied in an extended range below the…

高能物理 - 格点 · 物理学 2010-11-05 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chris Schroeder

We investigate the finite-temperature and -density chiral Gross-Neveu model with an axial U$_A$(1) symmetry in $1+1$ dimensions on the lattice. In the limit where the number of flavors $N_\mathrm{f}$ tends to infinity the continuum model…

高能物理 - 格点 · 物理学 2022-03-03 Julian J. Lenz , Michael Mandl , Andreas Wipf

We investigate the phase structure of Quantum Chromodynamics (QCD) in the vacuum as a function of quark flavor number $N_f$ within the chiral limit. By self-consistently solving the coupled DSEs for the quark and gluon propagators in a…

高能物理 - 唯象学 · 物理学 2026-02-19 Yi-huai Chen , Yi Lu , Zhi-wei Wang , Yu-xin Liu , Fei Gao

We present an update on the study of the QCD phase transition with 3 flavors of M\"obius domain wall fermions at zero baryon density. We performed simulations on lattices of size $36^3\times12\times16$ and $24^3\times12\times32$ with a…

高能物理 - 格点 · 物理学 2024-01-11 Yu Zhang , Yasumichi Aoki , Shoji Hashimoto , Issaku Kanamori , Takashi Kaneko , Yoshifumi Nakamura

We use lattice regularization to study the flow of the flavor-triplet fermion current central charge $C^f_J$ from its free field value in the ultraviolet limit to its conformal value in the infrared limit of the parity-invariant…

高能物理 - 理论 · 物理学 2017-09-20 Nikhil Karthik , Rajamani Narayanan

We study an SU(3) gauge theory with Nf=8 degenerate flavors of light fermions in the fundamental representation. Using the domain wall fermion formulation, we investigate the light hadron spectrum, chiral condensate and electroweak S…

We study a large $N$ tensor model with $O(N)^3$ symmetry containing two flavors of Majorana fermions, $\psi_1^{abc}$ and $\psi_2^{abc}$. We also study its random counterpart consisting of two coupled Sachdev-Ye-Kitaev models, each one…

高能物理 - 理论 · 物理学 2019-06-05 Jaewon Kim , Igor R. Klebanov , Grigory Tarnopolsky , Wenli Zhao

We present results of a Monte Carlo simulation of a three dimensional Gross-Neveu model with SU(2)xSU(2) chiral symmetry at non-zero baryon chemical potential mu, corresponding to non-zero baryon density. For mu sufficiently large there is…

高能物理 - 格点 · 物理学 2009-12-15 Simon Hands , Susan E. Morrison