scholarly journals QCD on the Lattice

2020 ◽  
pp. 137-262
Author(s):  
Hartmut Wittig
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Ab Initio ◽  
Quantum Chromodynamics ◽  
Lattice Qcd ◽  
Strong Interaction ◽  
Quantum Field ◽  
Low Energies ◽  
Lattice Approach ◽  
Established Technique

AbstractSince Wilson’s seminal papers of the mid-1970s, the lattice approach to Quantum Chromodynamics has become increasingly important for the study of the strong interaction at low energies, and has now turned into a mature and established technique. In spite of the fact that the lattice formulation of Quantum Field Theory has been applied to virtually all fundamental interactions, it is appropriate to discuss this topic in a chapter devoted to QCD, since by far the largest part of activity is focused on the strong interaction. Lattice QCD is, in fact, the only known method which allows ab initio investigations of hadronic properties, starting from the QCD Lagrangian formulated in terms of quarks and gluons.

UKQCD software for lattice quantum chromodynamics

2009 ◽  
Vol 367 (1897) ◽  
pp. 2585-2594
Author(s):  
P.A. Boyle ◽  
R.D. Kenway ◽  
C.M. Maynard
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Chromodynamics ◽  
Lattice Qcd ◽  
Nuclear Interaction ◽  
Quantum Field ◽  
Lattice Quantum Chromodynamics ◽  
The Us ◽  
Lattice Quantum ◽  
Familiar Objects

Quantum chromodynamics (QCD) is the quantum field theory of the strong nuclear interaction and it explains how quarks and gluons are bound together to make more familiar objects such as the proton and neutron, which form the nuclei of atoms. UKQCD is a collaboration of eight UK universities that have come together to obtain and pool sufficient resources, both computational and manpower, to perform lattice QCD calculations. This paper explains how UKQCD uses and develops this software, how performance critical kernels for diverse architectures such as quantum chromodynamics-on-a-chip, BlueGene and XT4 are developed and employed and how UKQCD collaborates both internally and externally, with, for instance, the US SciDAC lattice QCD community.

scholarly journals Ab initio no core calculations of light nuclei and preludes to Hamiltonian quantum field theory

2009 ◽  
Author(s):  
J. P. Vary ◽  
P. Maris ◽  
A. M. Shirokov ◽  
H. Honkanen ◽  
J. Li ◽  
...  
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Ab Initio ◽  
Light Nuclei ◽  
Quantum Field

On the Problem of a Finitistic Quantum Field Theory

1992 ◽  
Vol 47 (4) ◽  
pp. 545-553 ◽  
Author(s):  
F. Winterberg
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Infinite Order ◽  
Unified Theory ◽  
Quantum Field ◽  
Planck Length ◽  
Fundamental Length ◽  
Low Energies ◽  
Planck Time ◽  
Planck Energy

AbstractA finitistic quantum field theory, as a model for a unified theory of elementary particles is proposed, making the assumption that all spatial and temporal distances can only assume integer values of a fundamental length and time, for which we have chosen the Planck length and Planck time. To satisfy the condition of causality in its quantized version, the theory must be exactly nonrelativistic, because only then can the concept that points in space are separated by multiples of a fundamental length be formulated in an invariant way. The theory is formulated as a partial finite difference equation, invariant under translations and rotations in space, and translations in time, and can be expressed as a partial differential equation of infinite order. The theory is free of all divergencies, has a positive definite metric in Hilbert space and therefore no ghost states. Possessing a fundamental length, chosen to be equal the Planck length, the theory has an inbuilt cut-off at the Planck energy. For energies sufficiently below the Planck energy, the theory can be approximated by the previously described Planck aether model, which can be viewed as a superfluid consisting of Planck masses, leading to special relativity as a dynamic symmetry in the asymptotic limit of low energies.

Ab-initio Hamiltonian approach to light nuclei and to quantum field theory

Pramana ◽  
2010 ◽  
Vol 75 (1) ◽  
pp. 39-49
Author(s):  
J. P. Vary ◽  
H. Honkanen ◽  
Jun Li ◽  
P. Maris ◽  
A. M. Shirokov ◽  
...  
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Ab Initio ◽  
Light Nuclei ◽  
Quantum Field ◽  
Hamiltonian Approach

scholarly journals Differential Dyson–Schwinger equations for quantum chromodynamics

2020 ◽  
Vol 80 (8) ◽  
Author(s):  
Marco Frasca
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Chromodynamics ◽  
Background Field ◽  
Low Energy ◽  
Quantum Field ◽  
Approximate Form ◽  
Energy Behavior ◽  
Hooft Limit ◽  
Dynamical Breaking

Abstract Using a technique devised by Bender, Milton and Savage, we derive the Dyson–Schwinger equations for quantum chromodynamics in differential form. We stop our analysis to the two-point functions. The ’t Hooft limit of color number going to infinity is derived showing how these equations can be cast into a treatable even if approximate form. It is seen how this limit gives a sound description of the low-energy behavior of quantum chromodynamics by discussing the dynamical breaking of chiral symmetry and confinement, providing a condition for the latter. This approach exploits a background field technique in quantum field theory.

scholarly journals Revisiting the Okubo–Marshak Argument

Symmetry ◽  
2021 ◽  
Vol 13 (9) ◽  
pp. 1645
Author(s):  
Christian Gaß ◽  
José M. Gracia-Bondía ◽  
Jens Mund
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Theory ◽  
Quantum Chromodynamics ◽  
Gauge Invariance ◽  
Local Symmetry ◽  
Quantum Field ◽  
Global Gauge ◽  
Modular Localization ◽  
Key Aspects

Modular localization and the theory of string-localized fields have revolutionized several key aspects of quantum field theory. They reinforce the contention that local symmetry emerges directly from quantum theory, but global gauge invariance remains in general an unwarranted assumption to be examined case by case. Armed with those modern tools, we reconsider here the classical Okubo–Marshak argument on the non-existence of a “strong CP problem” in quantum chromodynamics.

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