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We explore the possibility that the underlying flavour structure of the Standard Model could be determined by mass chains on a fractal geometry. We consider, as an example, the theory space on a Sierpinski-like geometry. The fermion mass…

高能物理 - 唯象学 · 物理学 2025-09-08 Alejandro Ibarra , Aadarsh Singh , Sudhir K Vempati

We investigate the chiral phase transition of the strongly interacting matter at nonzero temperature and baryon chemical potential $\mu_B$ within an extended (2+1) flavor Polyakov constituent quark-meson model which incorporates the effect…

高能物理 - 唯象学 · 物理学 2017-11-30 Gy. Wolf , P. Kovács

We calculate the $m_\varrho / f_\pi$ ratio in the chiral and continuum limit for $SU(3)$ gauge theory coupled to $N_f = 2,3,4,5,6$ fermions in the fundamental representation. Keeping all systematic effects under full control we find no…

高能物理 - 格点 · 物理学 2019-06-26 Daniel Nogradi , Lorinc Szikszai

The scalar contributions to the radiative decays of light vector mesons into a pair of neutral pseudoscalars, $V\to P^0P^0\gamma$, are studied within the framework of the Linear Sigma Model. This model has the advantage of incorporating not…

高能物理 - 唯象学 · 物理学 2008-11-26 Rafel Escribano

The Thirring model is a four fermion theory with vector interaction. We study it in three dimensions, where it is closely related to QED and other models used to describe properties of graphene. In addition it is a good toy model to study…

高能物理 - 格点 · 物理学 2015-11-03 Daniel Schmidt , Björn Wellegehausen , Andreas Wipf

We investigate the continuum limit scaling of the scalar condensate in the $N_f=2$ Schwinger model on the lattice. We employ maximally twisted mass Wilson fermions and overlap fermions. We compute the scalar condensate by taking the trace…

高能物理 - 格点 · 物理学 2009-07-30 Kei-ichi Nagai , Nils Christian , Karl Jansen , Beatrix Pollakowski

We report extended simulation results and their new analysis in two important gauge theories with twelve fermion flavors in the fundamental SU(3) color representation and two fermions in the sextet representation. We probe the $N_f=12$…

高能物理 - 格点 · 物理学 2012-05-10 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chris Schroeder , Chik Him Wong

In this paper we construct non-Abelian gauge theories with fermions and scalars that nevertheless possess asymptotic freedom.The scalars are taken to be in a chiral multiplet transforming as $(2,2)$ under $SU(2)_L\otimes SU(2)_R$ and…

高能物理 - 理论 · 物理学 2009-10-31 N. D. Hari Dass , V. Soni

The massive N-flavor Schwinger model is analyzed by the bosonization method. The problem is reduced to the quantum mechanics of N degrees of freedom in which the potential needs to be self-consistently determined by its ground-state wave…

高能物理 - 理论 · 物理学 2008-11-26 Yutaka Hosotani , Ramon Rodriguez

The chiral theory of mesons of two flavors have been extended to mesons containing strange flavor. Two new mass relations between vector and axial-vector mesons have been obtained. In chiral limit, the physical processes of normal parity…

高能物理 - 唯象学 · 物理学 2014-11-17 Bing An Li

An extension of the Standard Model (SM) based on the non-Abelian discrete group $\Delta(27)$ is considered. The $\Delta(27)$ flavour symmetry is spontaneously broken only by gauge singlet scalar fields, therefore our model is free from any…

高能物理 - 唯象学 · 物理学 2015-03-18 Mohammed Abbas , Shaaban Khalil

Gauging the flavor (family, generation, horizontal) index of the chiral fermion fields of the Standard model, for anomaly freedom extended by three sterile right-handed neutrino fields, results in asymptotically free, {\it bona fide}…

高能物理 - 唯象学 · 物理学 2017-08-29 Jiri Hosek , J. Adam,

We study the transition between spontaneous chiral symmetry breaking and conformal behavior in the SU(3) theory with multiple fermion flavors. Instead of the traditional approach of changing the number of flavors, we keep the number of…

高能物理 - 格点 · 物理学 2014-11-13 Rich Brower , Anna Hasenfratz , Claudio Rebbi , Evan Weinberg , Oliver Witzel

We present a $U(4)_R \times U(4)_L$ chirally symmetric model, which in addition to scalar and pseudoscalar mesons also includes vector and axial-vector mesons. A part from the three new parameters pertaining to the charm degree of freedom,…

高能物理 - 唯象学 · 物理学 2015-06-23 Walaa I. Eshraim

The quark-level linear sigma model is revisited, in particular concerning the identification of the f_0(400-1200) (or \sigma(600)) scalar meson as the chiral partner of the pion. We demonstrate the predictive power of the linear sigma model…

高能物理 - 唯象学 · 物理学 2008-11-26 Eef van Beveren , Frieder Kleefeld , George Rupp , Michael D. Scadron

We perform numerical calculations of masses and decay constants of the lightest (flavoured) pseudoscalar, vector and axial vector mesons in the $Sp(4)$ lattice gauge theory with three Dirac fermions in the antisymmetric representation. The…

高能物理 - 格点 · 物理学 2022-10-18 Jong-Wan Lee , Ed Bennett , Deog Ki Hong , Ho Hsiao , C. -J. David Lin , Biagio Lucini , Maurizio Piai , Davide Vadacchino

We explore the properties of neutral mesons within the context of a chirally imbalanced medium, employing the two-flavor Nambu--Jona-Lasinio model. The temperature dependence of the constituent quark mass at finite values of the chiral…

高能物理 - 唯象学 · 物理学 2024-01-23 Snigdha Ghosh , Nilanjan Chaudhuri , Sourav Sarkar , Pradip Roy

We address the question whether it is possible to interpret the low-lying scalar mesons f0(600) and a0(980) as \bar q - q states within a U(3)xU(3) Linear Sigma Model containing vector and axial-vector degrees of freedom.

高能物理 - 唯象学 · 物理学 2015-05-30 Denis Parganlija

I present a numerical study of the crossover between the low temperature chirally broken phase and the high temperature chirally restored phase in $SU(N_c)$ gauge theory with $N_c=3-5$ colors and $N_f=2$ degenerate fermion flavors. Fermion…

高能物理 - 格点 · 物理学 2021-06-02 Thomas DeGrand

We first briefly review a treatment of the scalars in meson meson scattering based on a non-linear chiral Lagrangian, with unitarity implemented by a "local" modification of the scalar propagators. It is shown that the main results are…

高能物理 - 唯象学 · 物理学 2009-11-07 D. Black , A. H. Fariborz , S. Moussa , S. Nasri , J. Schechter