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We compute the quark and gluon condensates in $QCD$ with $N$ colors and $N_f$ flavors based on the renormalization group equations and on the knowledge of a single scale $\Lambda_{QCD}$. For $N=3$ and $N_f=3$ our findings are in the good…

高能物理 - 唯象学 · 物理学 2020-06-24 Renata Jora

In 2+1 dimensions, Dirac fermions in reducible, i.e. four-component representations of the spinor algebra form the basis of many interesting model field theories and effective descriptions of condensed matter phenomena. This paper explores…

高能物理 - 格点 · 物理学 2015-08-25 Simon Hands

We perform a lattice investigation of QCD with three colors and 2 flavors of Dirac (staggered) fermions in the adjoint representation, defined on a 4d space with one spatial dimension compactified, and study the phase structure of the…

高能物理 - 格点 · 物理学 2009-07-22 Guido Cossu , Massimo D'Elia

We present new results for the SU(3) "sextet model" with two flavors transforming according to the two-index symmetric representation of the gauge group. The simulations are performed using unimproved Wilson fermions. We measure the meson…

高能物理 - 格点 · 物理学 2016-07-26 Vincent Drach , Martin Hansen , Ari Hietanen , Claudio Pica , Francesco Sannino

We present an update of our study of the phase diagram of two-flavour QCD at zero baryon density with dynamical $O(a)$ improved Wilson quarks. All simulations are done on lattices with a temporal extent of $N_t=16$ and spatial extent…

高能物理 - 格点 · 物理学 2013-11-01 Bastian B. Brandt , Anthony Francis , Harvey B. Meyer , Owe Philipsen , Hartmut Wittig

The properties of baryons can be computed in a systematic expansion in $1/N_c$, where $N_c$ is the number of colors. Recent results on the axial couplings and masses of baryons (for the case of three flavors) are presented. The results give…

高能物理 - 唯象学 · 物理学 2009-09-25 Aneesh V. Manohar

Due to its light mass of order Lambda_QCD, the strange quark can play a special role in Chiral Symmetry Breaking (ChSB): differences in the pattern of ChSB in the limits N_f=2 (m_u,m_d->0, m_s physical) and N_f=3 (m_u,m_d,m_s->0) may arise…

高能物理 - 唯象学 · 物理学 2009-11-10 S. Descotes-Genon , N. H. Fuchs , L. Girlanda , J. Stern

We present results from simulations of two flavor QCD thermodynamics at N_t=4 with domain wall fermions. In contrast to other lattice fermion formulations, domain wall fermions preserve the full chiral symmetry of the continuum at finite…

高能物理 - 唯象学 · 物理学 2009-10-31 George T. Fleming

After briefly reviewing the potential for the $N$-flavor Thirring model, formulated with reducible fermions in 2+1$d$, to exhibit a strongly-coupled UV-stable fixed point where U($2N$) symmetry is spontaneously broken by a fermion bilinear…

高能物理 - 格点 · 物理学 2023-11-27 Simon Hands , Jude Worthy

It is widely believed that chiral symmetry is spontaneously broken at zero temperature in the strong coupling limit of staggered fermions, for any number of colors and flavors. Using Monte Carlo simulations, we show that this conventional…

高能物理 - 格点 · 物理学 2012-11-15 Philippe de Forcrand , Seyong Kim , Wolfgang Unger

A distinctive feature of the presence of spontaneous chiral symmetry breaking in QCD is the condensation of low modes of the Dirac operator near the origin. The rate of condensation must be equal to the slope of (Mpi^2 Fpi^2)/2 with respect…

高能物理 - 唯象学 · 物理学 2015-03-25 Georg P. Engel , Leonardo Giusti , Stefano Lottini , Rainer Sommer

The color number $N_c$-dependence of the interplay between quark-antiquark condensates $<\bar{q}q>$ and diquark condensates $<qq>$ in vacuum in two-flavor four-fermion interaction models is researched. The results show that the $G_S$-$H_S$…

高能物理 - 理论 · 物理学 2009-08-25 Bang-Rong Zhou

The massless vector Schwinger model with $N_f=1,2,3,4$ number of flavors is studied on the lattice using the overlap formalism. A full Monte Carlo simulation yields values for the bilinear fermion condensate that are in agreement with the…

高能物理 - 格点 · 物理学 2009-10-28 R. Narayanan , H. Neuberger , P. Vranas

The formation of inhomogeneous chiral condensates in QCD matter at nonzero density and temperature is investigated for the first time with Dyson-Schwinger equations. We consider two massless quark flavors in a so-called chiral density wave,…

高能物理 - 唯象学 · 物理学 2013-12-03 Daniel Müller , Michael Buballa , Jochen Wambach

We review how a classification into representations of color and flavor can be used to understand the possible patterns of symmetry breaking for color superconductivity in dense quark matter. In particular, we show how for three flavors,…

核理论 · 物理学 2007-05-23 Robert D. Pisarski , Dirk H. Rischke

The Schwinger model with $N_f \geq 2$ flavors is a simple example for a fermionic model with zero chiral condensate Sigma (in the chiral limit). We consider numerical data for two light flavors, based on simulations with dynamical chiral…

高能物理 - 格点 · 物理学 2020-07-14 David Landa-Marbán , Wolfgang Bietenholz , Ivan Hip

With the isovector coupling constants adjusted to reproduce the physical pion mass and lattice QCD results in baryon-free quark matter, we have carried out rigourous calculations for the pion condensate in the 3-flavor Nambu-Jona-Lasinio…

高能物理 - 唯象学 · 物理学 2021-10-13 Lu-Meng Liu , Jun Xu , Guang-Xiong Peng

We use 2-color QCD as a model to study the effects of simultaneous presence of chemical potentials for isospin charge, $\mu_I$, and for baryon number, $\mu_B$. We determine the phase diagrams for 2 and 4 flavor theories using the method of…

高能物理 - 唯象学 · 物理学 2008-11-26 K. Splittorff , D. T. Son , M. A. Stephanov

We present Monte Carlo simulation results for the three dimensional Thirring model on moderate sized lattices using a hybrid molecular dynamics algorithm which permits an odd or non-integer number Nf of fermion flavors. We find a continuous…

高能物理 - 格点 · 物理学 2009-10-31 Simon Hands , Biagio Lucini

We investigate chiral symmetry breaking in the (2+1)-dimensional Thirring model as a function of the coupling as well as the Dirac flavor number Nf with the aid of the functional renormalization group. For small enough flavor number Nf <…

高能物理 - 理论 · 物理学 2012-11-08 Lukas Janssen , Holger Gies