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We introduce a random matrix model with the symmetries of QCD with two colors at nonzero isospin and baryon chemical potentials and temperature. We analyze its phase diagram and find phases with condensation of pion and diquark states in…

高能物理 - 唯象学 · 物理学 2009-11-10 B. Klein , D. Toublan , J. J. M. Verbaarschot

We discuss dynamics of N=2 supersymmetric SU(n_c) gauge theories with n_f quark hypermultiplets. Upon N=1 perturbation of introducing a finite mass for the adjoint chiral multiplet, we show that the flavor U(n_f) symmetry is dynamically…

高能物理 - 理论 · 物理学 2007-05-23 Hitoshi Murayama

We present preliminary numerical results for the three dimensional non-compact QED with a weak four-fermion term in the lattice action. Approaches based on Schwinger-Dyson studies, arguments based on thermodynamic inequalities and numerical…

高能物理 - 格点 · 物理学 2009-11-10 J. B. Kogut , C. G. Strouthos , I. N. Tziligakis

It has become clearer recently that the regular pattern of three flavor nonets describing the low spin meson multiplets seems to require some modification for the case of the spin 0 scalar mesons. One picture which has had some success,…

高能物理 - 唯象学 · 物理学 2011-02-23 Amir H. Fariborz , Renata Jora , Joseph Schechter , M. Naeem Shahid

We investigate a model of interacting Dirac fermions in $2+1$ dimensions with $M$ flavors and $N$ colors having the $\mathrm{U}(M)\times \mathrm{SU}(N)$ symmetry. In the large-$N$ limit, we find that the $\mathrm{U}(M)$ symmetry is…

高能物理 - 理论 · 物理学 2021-06-08 Takuya Kanazawa , Mario Kieburg , Jacobus J. M. Verbaarschot

Considered are ${\cal N}=2\, SU(N_c)$ or $U(N_c)$ SQCD with $N_F<2N_c-1$ equal mass quark flavors. ${\cal N}=2$ supersymmetry is softly broken down to ${\cal N}=1$ by the mass term $\mu_{\rm x}{\rm Tr}\,(X^2)$ of colored adjoint scalar…

高能物理 - 理论 · 物理学 2020-07-30 Victor L. Chernyak

We analyze new sources of flavor violation in models with extra dimensions. We focus on three major classes of five dimensional models: models with universal extra dimension, models with split fermions, and models with warped extra…

高能物理 - 唯象学 · 物理学 2009-11-10 S. Khalil , R. Mohapatra

We consider flavor breaking in the the octet and decuplet baryon masses at second order in large-$N$ chiral perturbation theory, where $N$ is the number of QCD colors. We assume that $1/N \sim 1/N_F \sim m_s / \Lambda \gg m_{u,d}/\Lambda,…

高能物理 - 唯象学 · 物理学 2014-11-17 Paulo F. Bedaque , Markus A. Luty

We review arguments that chiral symmetry breaking is triggered when the quark bilinear condensate's dimension passes through one ($\gamma=1$). This is supported by gap equations and more recently holographic models. Confinement may then be…

高能物理 - 唯象学 · 物理学 2021-05-26 Nick Evans , Konstantinos S. Rigatos

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…

高能物理 - 格点 · 物理学 2020-12-02 Julian Lenz , Laurin Pannullo , Marc Wagner , Björn Wellegehausen , Andreas Wipf

We study the spectrum of the QCD Dirac operator for two colors with fermions in the fundamental representation and for two or more colors with adjoint fermions. For $N_f$ flavors, the chiral flavor symmetry of these theories is…

高能物理 - 理论 · 物理学 2009-10-31 D. Toublan , J. J. M. Verbaarschot

We study the Thirring model in three spacetime dimensions, by means of Monte Carlo simulation on lattice sizes 8^3 and 12^3, for numbers of fermion flavors N_f=2,4,6. For sufficiently strong interaction strength, we find that spontaneous…

高能物理 - 格点 · 物理学 2009-10-28 Luigi Del Debbio , Simon Hands

We report results of simulations of the $2+1d$ Thirring model with $N$ fermion flavors, defined on a lattice using domain wall fermions. This approach is devised to respect as far as possible the underlying U($2N$) symmetry of the continuum…

高能物理 - 格点 · 物理学 2021-10-11 Simon Hands , Michele Mesiti , Jude Worthy

We investigate the chiral properties of SU(2) gauge theory with six flavors, i.e. six light Dirac fermions in the fundamental representations by lattice simulation, and point out that the spontaneous breakdown of chiral symmetry does not…

高能物理 - 格点 · 物理学 2013-11-27 M. Hayakawa , K. -I. Ishikawa , S. Takeda , M. Tomii , N. Yamada

We compute anomalous dimensions of quartic operators which are singlets under the $\mathrm{U}(N_f)$ global symmetry in Yang-Mills theories with Chern-Simons level $k$ in three dimensions coupled to $N_f$ Dirac fermions. In order to have…

高能物理 - 理论 · 物理学 2022-12-09 Guillermo Arias-Tamargo , Sergio Benvenuti , Diego Rodriguez-Gomez

We compare extensive simulations of QCD with 8 and 12 flavors of degenerate quarks, using the DBW2 gauge action, naive staggered fermions, and the rational hybrid Monte Carlo algorithm. A variety of values of the coupling constant, quark…

高能物理 - 格点 · 物理学 2010-02-17 Xiao-Yong Jin , Robert D. Mawhinney

We investigate the effects of flavor SU(3)-symmetry breaking on the QCD condensates, based on the nonlocal effective chiral action from the instanton vacuum, focusing on the quark-gluon mixed one. We employ two different parameterizations…

高能物理 - 唯象学 · 物理学 2007-05-23 Seung-il Nam , Hyun-Chul Kim

The infrared dynamics of $2+1$ dimensional quantum electrodynamics (QED$_3$) with a large number $N$ of fermion flavors is governed by an interacting CFT that can be studied in the $1/N$ expansion. We use the $1/N$ expansion to calculate…

高能物理 - 理论 · 物理学 2016-08-24 Shai M. Chester , Silviu S. Pufu

The Schwinger model (QED_2) with N flavors of massive fermions on a circle of circumference L, or equivalently at finite temperature T, is reduced to a quantum mechanical system of N-1 degrees of freedom. With degenerate fermion masses (m)…

高能物理 - 理论 · 物理学 2009-10-28 J. E. Hetrick , Y. Hosotani , S. Iso

Planar equivalence between the large $N$ limits of ${\cal N}=1$ Super Yang-Mills (SYM) theory and a variant of QCD with fermions in the antisymmetric representation is a powerful tool to obtain analytic non-perturbative results in QCD…

高能物理 - 理论 · 物理学 2018-05-09 Adi Armoni , Mikhail Shifman , Graham Shore , Gabriele Veneziano