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In the framework of an SU(3) (axial)vector meson extended linear sigma model with additional constituent quarks and Polyakov loops, we investigate the effects of (axial)vector mesons on the chiral phase transition. The parameters of the…

High Energy Physics - Phenomenology · Physics 2015-06-23 Péter Kovács , Zsolt Szép , György Wolf

We investigate a linear sigma model with global chiral $U(2)_{R} \times U(2)_{L}$ symmetry. The mesonic degrees of freedom are the standard scalar and pseudoscalar mesons and the vector and axial-vector mesons. The baryonic degrees of…

High Energy Physics - Phenomenology · Physics 2014-11-20 Susanna Gallas , Francesco Giacosa , Dirk H. Rischke

We calculate low-energy meson decay processes and pion-pion scattering lengths in a two-flavour linear sigma model with global chiral symmetry, exploring the scenario in which the scalar mesons $f_0$(600) and $a_0$(980) are assumed to be…

High Energy Physics - Phenomenology · Physics 2009-06-25 Denis Parganlija , Francesco Giacosa , Dirk H. Rischke

We revisit the modular flavor symmetry from a more general perspective. The scalar modular forms of principal congruence subgroups are extended to the vector-valued modular forms, then we have more possible finite modular groups including…

High Energy Physics - Phenomenology · Physics 2022-04-13 Xiang-Gan Liu , Gui-Jun Ding

We investigate the scalar meson mass dependence on the chiral phase transition in the framework of an SU(3), (axial)vector meson extended linear sigma model with additional constituent quarks and Polyakov loops. We determine the parameters…

High Energy Physics - Phenomenology · Physics 2014-11-21 Gy. Wolf , P. Kovács , Zs. Szép

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…

High Energy Physics - Lattice · Physics 2020-07-14 David Landa-Marbán , Wolfgang Bietenholz , Ivan Hip

The renormalized contribution of fermions to the curvature masses of vector and axial-vector mesons is derived with two different methods at leading order in the loop expansion applied to the (2+1)-flavor constituent quark-meson model. The…

High Energy Physics - Phenomenology · Physics 2021-09-22 Győző Kovács , Péter Kovács , Zsolt Szép

Zero temperature properties of an (axial-) vector meson extended linear sigma model are discussed, concerning on the possible different realizations of the axial anomaly term. The different anomaly terms are compared with each other on the…

High Energy Physics - Phenomenology · Physics 2013-04-22 Peter Kovacs , Gyorgy Wolf

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…

High Energy Physics - Lattice · Physics 2009-10-28 R. Narayanan , H. Neuberger , P. Vranas

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…

High Energy Physics - Lattice · Physics 2022-03-03 Julian J. Lenz , Michael Mandl , Andreas Wipf

The structure of the scalar mesons has been a subject of debate for many decades. In this work we look for $\bar{q}q$ states among the physical resonances using an extended Linear Sigma Model that contains scalar, pseudoscalar, vector, and…

High Energy Physics - Phenomenology · Physics 2015-06-11 D. Parganlija , P. Kovacs , Gy. Wolf , F. Giacosa , D. H. Rischke

We investigate the eigenmodes of the massless Dirac operator to extract the scale-dependent fermion mass anomalous dimension gamma_m(mu). By combining simulations on multiple lattice volumes, and when possible several gauge couplings, we…

High Energy Physics - Lattice · Physics 2013-07-16 Anqi Cheng , Anna Hasenfratz , Gregory Petropoulos , David Schaich

The massive multi-flavor Schwinger model on a circle is reduced to a finite dimensional quantum mechanics problem. The model sensitively depends on the parameter $mL|\cos\onehalf\theta|$ where $m$, $L$, and $\theta$ are a typical fermion…

High Energy Physics - Theory · Physics 2007-05-23 Y. Hosotani

The Lattice Strong Dynamics collaboration is investigating the properties of a SU(3) gauge theory with $N_f = 8$ light fermions on the lattice. We measure the masses of the lightest pseudoscalar, scalar and vector states using simulations…

High Energy Physics - Lattice · Physics 2019-08-13 Enrico Rinaldi

We investigate screening masses at both sides of the first order finite temperature transition with 3 quark flavors using the nonperturbatively improved clover fermion action and the Iwasaki gauge action. We have developed the method of…

High Energy Physics - Lattice · Physics 2015-01-27 Xiao-Yong Jin , Yoshinobu Kuramashi , Yoshifumi Nakamura , Shinji Takeda , Akira Ukawa

We study the flavour singlet mesons from first principles using lattice QCD. We explore the splitting between flavour singlet and non-singlet for vector and axial mesons as well as the more commonly studied cases of the scalar and…

High Energy Physics - Lattice · Physics 2008-11-26 UKQCD Collaboration , C. McNeile , C. Michael , K. J. Sharkey

We investigate the 2-flavour Schwinger model in the canonical formulation with fixed fermion numbers. We use Wilson fermions and a formalism which describes the determinant of the Dirac operator in terms of dimensionally reduced canonical…

High Energy Physics - Lattice · Physics 2022-01-03 Patrick Bühlmann , Urs Wenger

Within a linear sigma model framework, possible mixing between two chiral nonets (a two quark nonet, and a four quark nonet) below 2 GeV is studied. Incorporating the U(1)$_A$ behavior of the underlying QCD, and working in the isospin…

High Energy Physics - Phenomenology · Physics 2007-05-23 Amir H. Fariborz , Renata Jora , Joseph Schechter

We investigate the phase diagram and finite-temperature transitions of three-dimensional scalar SO(Nc) gauge theories with Nf scalar flavors. These models are constructed starting from a maximally O(N)-symmetric multicomponent scalar model…

Statistical Mechanics · Physics 2021-01-01 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

A modified neutrino mass model with five extra scalars is constructed using $A_{4}$ discrete symmetry group. The resultant mass matrix is able to give necessary deviation from Tribimaximal mixing which reproduces the current neutrino masses…

High Energy Physics - Phenomenology · Physics 2022-08-19 Victoria Puyam , S. Robertson Singh , N. Nimai Singh