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Related papers: Mass formula for 2 dimensional flavorful mesons

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We compute the masses of the $\pi$ and of the $\rho$ mesons in the quenched approximation on a lattice with fixed lattice spacing $a \simeq 0.145 \ \mathrm{fm}$ for SU($N$) gauge theory with $N = 2,3,4,6$. We find that a simple linear…

High Energy Physics - Theory · Physics 2009-12-10 Luigi Del Debbio , Biagio Lucini , Agostino Patella , Claudio Pica

The quark dynamics inside light mesons, except pseudoscalar ones, can be quite well described by a spinless Salpeter equation supplemented by a Cornell interaction (possibly partly vector, partly scalar). A mass formula for these mesons can…

High Energy Physics - Phenomenology · Physics 2008-11-26 F. Brau , C. Semay

The SU(3) gauge theory with $N_f=8$ nearly massless Dirac fermions has long been of theoretical and phenomenological interest due to the near-conformality arising from its proximity to the conformal window. One particularly interesting…

We study a class of four-dimensional $\mathcal{N}=2$ SU($N$) gauge theories with two massless hypermultiplets in the rank-two antisymmetric representation and $0\leq N_f\leq 4$ fundamental flavors. These theories are superconformal for…

High Energy Physics - Theory · Physics 2026-05-19 M. Billo , A. Lerda , A. Testa

We study 't Hooft's integral equation determining the meson masses M_n in multicolor QCD_2. In this note we concentrate on developing an analytic method, and restrict our attention to the special case of quark masses m_1=m_2=g/\sqrt{\pi}.…

High Energy Physics - Theory · Physics 2015-05-13 V. A. Fateev , S. L. Lukyanov , A. B. Zamolodchikov

We study the mass/energy structure of the bound state of hadrons in two-dimensional quantum chromodynamics in the large number of color limit (t' Hooft model). We analyze separately the contributions from the traceless and trace part of the…

High Energy Physics - Phenomenology · Physics 2021-04-14 Xiangdong Ji , Yizhuang Liu , Ismail Zahed

CP-PACS and JLQCD collaborations are carrying out a joint project of the 2+1 flavor full QCD simulation. Gauge configurations are generated for the non-perturbatively $O(a)$-improved Wilson quark action and the Iwasaki gauge action using…

We calculate the string tension, K, and some of the lightest glueball masses, M, in 3+1 dimensional SU(N) lattice gauge theories for N=2,3,4,5 . From the continuum extrapolation of the lattice values, we find that the mass ratios,…

High Energy Physics - Lattice · Physics 2010-02-03 B. Lucini , M. Teper

We report on first results of an ongoing effort to simulate lattice QCD with two degenerate flavours of quarks by means of the twisted mass formulation tuned to maximal twist. By utilising recent improvements of the HMC algorithm,…

High Energy Physics - Lattice · Physics 2008-11-26 Karl Jansen , Carsten Urbach , ETM Collaboration

We study properties of pseudoscalar flavour-singlet mesons from Wilson twisted mass lattice QCD with Nf=2+1+1 dynamical quark flavors. Results for masses are presented at three values of the lattice spacing and light quark masses…

We study the spectrum of meson masses in large $N_c$ QCD$_2$ governed by celebrated 't Hooft's integral equation. We generalize analytical methods proposed by Fateev, Lukyanov and Zamolodchikov to the case of arbitrary, but equal quark…

High Energy Physics - Theory · Physics 2025-04-17 Alexey Litvinov , Pavel Meshcheriakov

We predict the masses of the lowlying $B_c$ mesons with $J^P = 0^-,\,1^-,\,0^+,\,1^+,\,2^+$, using a flavor dependent interaction pattern which gives an unified successful description of the light, heavy-light and heavy mesons and is also…

High Energy Physics - Phenomenology · Physics 2020-03-11 Muyang Chen , Lei Chang , Yu-xin Liu

An approximate bound state solution of the Klein-Gordon equation is derive analytically for the 3-dimensional space with a combination framework of linear plus modified Yukawa Potential (LIMYP) using the Nikiforov-Uvarov (N-U) method for…

High Energy Physics - Phenomenology · Physics 2023-07-21 Kaushal R Purohit , Ajay Kumar Rai , Rajendrasinh H Parmar

The masses of the lowest-lying states in the meson and in the gluonic sector of an SU(2) gauge theory with two Dirac flavors in the adjoint representation are measured on the lattice at a fixed value of the lattice coupling $\beta = 4/g_0^2…

High Energy Physics - Lattice · Physics 2010-03-25 L. Del Debbio , B. Lucini , A. Patella , C. Pica , A. Rago

We study the heavy-light mesons within basis light-front quantization. The resulting mass spectra of $D$, $D_s$, $B$, and $B_s$ agree reasonably well with experiments. We also predict states which could be measured in the near future. In…

Nuclear Theory · Physics 2020-07-15 Shuo Tang , Yang Li , Pieter Maris , James P. Vary

Considered are ${\cal N}=2\, SU(N_c)$ or $U(N_c)$ SQCD with $N_F<2N_c-1$ quark flavors with the quark mass term $m{\rm Tr}\,({\bar Q} Q)$ in the superpotential. ${\cal N}=2$ supersymmetry is softly broken down to ${\cal N}=1$ by the mass…

High Energy Physics - Theory · Physics 2017-07-26 Victor L. Chernyak

We calculate the masses of the lowest lying eigenstates of improved SU(2), SU(3), SU(4) and SU(5) Hamiltonian lattice gauge theory (LGT) in 2+1 dimensions using an analytic variational approach. The ground state is approximated by a one…

High Energy Physics - Lattice · Physics 2009-11-10 Jesse Carlsson , Bruce H. J. McKellar

We present the result of our computation of the lowest lying meson masses for SU(N) gauge theory in the large $N$ limit (with $N_f/N\longrightarrow 0$). The final values are given in units of the square root of the string tension, and with…

High Energy Physics - Lattice · Physics 2020-11-30 Margarita García Pérez , Antonio González-Arroyo , Masanori Okawa

We present simulation details and results for the light hadron spectrum in N f = 2 + 1 lattice QCD with the nonperturbatively O(a)-improved Wilson quark action and the Iwasaki gauge action. Simulations are carried out at a lattice spacing…

We calculate the masses of the lowest lying eigenstates of improved SU(2) and SU(3) lattice gauge theory in 2+1 dimensions using an analytic variational approach. The ground state is approximated by a one plaquette trial state and mass gaps…

High Energy Physics - Lattice · Physics 2009-11-07 Jesse Carlsson , John A. L. McIntosh , Bruce H. J. McKellar , Lloyd C. L. Hollenberg