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A chiral invariant effective action for lattice QCD is proposed. Its connection to the multifermion model is established. A possibility of using this action for computer simulations is discussed.

High Energy Physics - Lattice · Physics 2009-10-31 A. A. Slavnov

With the aim of a further investigation of the nonperturbative Hamiltonian approach in gauge field theories, the mass spectrum of QED-2 is calculated numerically by using the corrected Hamiltonian that was constructed previously for this…

High Energy Physics - Theory · Physics 2009-11-11 S. A. Paston , E. V. Prokhvatilov , V. A. Franke

We present UKQCD's latest results for the static quark potential and light hadron spectrum obtained from matched simulations using two flavours of dynamical quarks. We report that using matched ensembles helps disentangle screening effects…

High Energy Physics - Lattice · Physics 2015-06-25 UKQCD Collaboration , J. Garden

We analyse the homogeneous parts of Clifford and meson algebras and point out that for the Clifford algebra it is related to fermionic statistics, that is, to fermionic parastatistics of order 1 while for the meson algebra it is related to…

Quantum Algebra · Mathematics 2026-02-19 Michel Dubois-Violette , Blas Torrecillas

Starting from the approximate symmetries of QCD, namely chiral symmetry for light quarks and spin and flavor symmetry for heavy quarks, we investigate the low-energy properties of heavy hadrons. For this purpose we construct a consistent…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Ebert , T. Feldmann

We investigate fermions on Carrollian manifolds. We complement previous intrinsic analysis by deriving Carrollian fermion actions from a relativistic Dirac theory via a systematic expansion in the speed of light ($c$). We then study…

High Energy Physics - Theory · Physics 2026-04-17 Arjun Bagchi , Saikat Mondal

Clifford Unification describes all the observed fundamental fermions in terms of seven commuting elements of the $Cl_{7,7}$ Clifford algebra. The eigenvalues of each commuting element define a binary quantum number, which relates to a…

General Physics · Physics 2026-03-04 Douglas Newman

We propose a universal group theoretic description of the fermion production through any type of interaction to scalar or pseudo-scalar. Our group theoretic approach relies on the group $SU(2) \times U(1)$, corresponding to the freedom in…

High Energy Physics - Phenomenology · Physics 2019-03-27 Ui Min , Minho Son , Han Gyeol Suh

Algorithmic progress in recent years made it possible to simulate QCD with Nf=2 flavours of O(a)-improved Wilson fermions at very light quark masses. We present the current results for baryon spectrum states, the nucleon axial coupling and…

Global symmetries and symmetry breaking patterns of QCD with light quarks, in particular chiral symmetry, provide basic guidance not only for low-energy hadron physics but also for nuclear forces and the nuclear many-body problem. Recent…

Nuclear Theory · Physics 2019-04-17 Wolfram Weise

Through the embedding of superconformal quantum mechanics into AdS space, it is possible to construct an effective supersymmetric QCD light-front Hamiltonian for hadrons, which includes a spin-spin interaction between the hadronic…

High Energy Physics - Phenomenology · Physics 2018-06-13 Marina Nielsen , Stanley J. Brodsky

It is set manifest an underlying algebraic structure of Dirac equation and solutions, in terms of Cl2 Clifford algebra projectors and ladder operators. From it, a scheme is proposed for constructing unified field theories by enlarging the…

General Physics · Physics 2022-05-17 Juan Camilo Vélez Quiñones

We study the spectrum properties for a recently constructed fixed point lattice Dirac operator. We also consider the problem of the extraction of the fermion condensate, both by direct computation, and through the Banks-Casher formula by…

High Energy Physics - Lattice · Physics 2009-10-31 F. Farchioni , C. B. Lang , M. Wohlgenannt

We summarize our recent investigations of lattice QCD with dynamical overlap fermions. We sketch algorithmic issues and our approach to solving them. We show our measurement of the topological susceptibility. We describe a computation of…

High Energy Physics - Lattice · Physics 2007-05-23 Stefan Schaefer , Thomas DeGrand

Several topics concerning the light hadron spectrum are discussed. Flavor symmetry breaking effects and the problem of quenched chiral logarithm are examined with pion mass data for the Kogut-Susskind quark action, and light meson decay…

High Energy Physics - Lattice · Physics 2009-10-28 JLQCD Collaboration , S. Aoki , M. Fukugita , S. Hashimoto , N. Ishizuka , Y. Iwasaki , K. Kanaya , Y. Kuramashi , H. Mino , M. Okawa , A. Ukawa , T. Yoshie

An anisotropic flat band fermion system with a novel dispersion that is linear along one direction and cubic along another is proposed in Phys. Rev. X. 13, 021012 (2023). We study the effects of Coulomb interaction in this fermion system by…

Strongly Correlated Electrons · Physics 2024-12-19 Jing-Rong Wang , Chang-Jin Zhang

Recent results in light hadron spectroscopy are reviewed. Attention is given to the requirements of precision determinations in lattice gauge theory. Different methods for extracting the running coupling constant $\alpha_S$ are compared.…

High Energy Physics - Lattice · Physics 2008-11-26 Chris Michael

We present an overview of recent results from the CP-PACS computer on the quenched light hadron spectrum and an on-going two-flavour full QCD study. We find that our quenched hadron mass results are compatible with the mass formulae…

High Energy Physics - Lattice · Physics 2009-10-31 R. Burkhalter

Lattice Gauge Theory enables an ab initio study of the low-energy properties of Quantum Chromodynamics, the theory of the strong interaction. I begin these lectures by presenting the lattice formulation of QCD, and then outline the…

Nuclear Theory · Physics 2017-08-23 D. G. Richards

We test a recently proposed improved lattice-fermion action, the fat link clover action, examining indicators of pathological small-quark-mass lattice artifacts ("exceptional configurations") on quenched lattices of spacing 0.12 fm and…

High Energy Physics - Lattice · Physics 2008-11-26 Mark Stephenson , Carleton DeTar , Thomas DeGrand , Anna Hasenfratz