The large $$N_{c}$$ limit of QCD on the lattice

Hernández, P.; Romero-López, Fernando

doi:10.1140/epja/s10050-021-00374-2

Cited by 32 publications

(24 citation statements)

References 179 publications

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“…3). This result is also close to the (2) one, and the large behavior [37][38][39] of the interglueball potential, which should scale as −2 , is not clear. In the (4) plot of Fig.…”

Section: Resultssupporting

confidence: 64%

Interglueball potential in SU(N$_c$) lattice gauge theory

Yamanaka¹,

Iida²,

Nakamura³

et al. 2020

Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)

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We report on our calculation of the interglueball potentials in SU(2), SU(3), and SU(4) lattice Yang-Mills theories using the indirect (so-called HAL QCD) method. We use the cluster decomposition error reduction technique to improve the statistical accuracy of the glueball correlators. After calculating the glueball scattering cross section in SU(2) Yang-Mills theory and combining with the observational data of the dark matter mass distributions, we derive the lower limit on the scale parameter.

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“…3). This result is also close to the (2) one, and the large behavior [37][38][39] of the interglueball potential, which should scale as −2 , is not clear. In the (4) plot of Fig.…”

Section: Resultssupporting

confidence: 64%

Interglueball potential in SU(N$_c$) lattice gauge theory

Yamanaka¹,

Iida²,

Nakamura³

et al. 2020

Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)

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“…[94][95][96][97][98][99][100][101]). On more general grounds, we aim at putting our numerical understanding of these theories on a level comparable to that achieved for the SU (N c ) theories, in reference to the approach to the large-N c limit [102][103][104][105][106][107][108][109][110][111], but also for the purposes of determining the boundaries of the conformal window [112][113][114][115], and of testing their EFT description [116]. We will deliver further publications on the topology of Sp(2N ) gauge theories, and their quenched meson spectra, as well as on the (partially quenched) dynamical theory with n f = 3 dynamical antisymmetric fermions-preliminary results have been presented in Ref.…”

Section: The Lattice Theorymentioning

confidence: 99%

Lattice studies of the $Sp(4)$ gauge theory with two fundamental and three antisymmetric Dirac fermions

Bennett,

Hong,

Hsiao

et al. 2022

Preprint

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We consider the Sp(4) gauge theory coupled to N f = 2 fundamental and n f = 3 antisymmetric flavours of Dirac fermions in four dimensions. This theory serves as the microscopic origin for composite Higgs models with SU (4)/Sp(4) coset, supplemented by partial top compositeness. We study numerically its lattice realisation, and couple the fundamental plaquette action to Wilson-Dirac fermions in mixed representations, by adopting a (rational) hybrid Monte Carlo method, to perform non-trivial tests of the properties of the resulting lattice theory.We find evidence of a surface (with boundaries) of first-order bulk phase transitions in the threedimensional space of bare parameters (one coupling and two masses). Explicit evaluation of the Dirac eigenvalues confirms the expected patterns of global symmetry breaking. After investigating finite volume effects in the weak-coupling phase of the theory, for the largest available lattice we study the mass spectra of the lightest spin-0 and spin-1 flavoured mesons composed of fermions in each representation, and of the lightest half-integer spin composite particle made of fermions in different representations-the chimera baryon. This work sets the stage for future systematical studies of the non-perturbative dynamics in phenomenologically relevant regions of parameter space.

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“… Past, present, and future of precision determinations of the QCD coupling from lattice QCD (M. Dalla Brida) [ 7 ]. The large limit of QCD on the lattice (P. Hernández, F. Romero-López) [ 8 ]. …”

Section: Table Of Contentsmentioning

confidence: 99%