scholarly journals Diquarks and the Bosonisation of QCD

1989 ◽  
Vol 42 (2) ◽  
pp. 161 ◽  
Author(s):  
RT Cahill ◽  
J Praschifka ◽  
CJ Burden
Keyword(s):  
Quantum Chromodynamics ◽  
Effective Action ◽  
Essential Role ◽  
Functional Integration ◽  
Functional Integral ◽  
Integral Formulation ◽  
Colour Singlet ◽  
Complete Set ◽  
Colour Octet

Previously the functional integral formulation of quantum chromodynamics <QCD) has been transformed into one involving colour singlet and colour octet bilocal fields describing qq states. While useful in determining the effective action for the observable colour singlet mesons, this formulation is of no use in determining the effective action for the baryon states. Here we show that there exists an alternative bosonisation of QCD in which the colour singlet meson fields and the colour triplet diquark fields form a complete set of functional integration variables. These diquark fields play an essential role in the colour singlet baryon states.

scholarly journals Hadronisation of QCD

1989 ◽  
Vol 42 (2) ◽  
pp. 171 ◽  
Author(s):  
RT Cahill
Keyword(s):  
Quantum Chromodynamics ◽  
Effective Action ◽  
Functional Integral ◽  
Low Energy ◽  
Integral Calculus ◽  
Energy States

Functional integral calculus (FIC) methods are used to transform the meson-diquark bosonisation of quantum chromodynamics into a meson-baryon effective action description of the low energy states of QCD-the adronisation of QCD.

SHEAF COHOMOLOGY AND FUNCTIONAL INTEGRATION

1989 ◽  
Vol 04 (18) ◽  
pp. 4919-4928
Author(s):  
CHARLES NASH
Keyword(s):  
Functional Integration ◽  
Functional Integral ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Topological Properties ◽  
Sheaf Cohomology

Various analytic and topological properties of the spaces of functions arising in the functional integral are derived. It is shown that these spaces can possess attractive properties such as continuity, smoothness, and complex analyticity. We provide illustrations of the results with examples taken from several quantum field theories in varying dimensions.

scholarly journals Compact Exotic Tetraquark Mesons in Large-Nc QCD

2018 ◽  
Vol 191 ◽  
pp. 04003
Author(s):  
Wolfgang Lucha ◽  
Dmitri Melikhov ◽  
Hagop Sazdjian
Keyword(s):  
Scattering Amplitudes ◽  
Quantum Chromodynamics ◽  
Internal Consistency ◽  
Selection Criteria ◽  
Bound States ◽  
Degrees Of Freedom ◽  
Decay Rates ◽  
Meson Decay ◽  
Decay Channels ◽  
Colour Singlet

We embark on systematic explorations of the behaviour of tetraquark mesons, i.e., colour-singlet bound states of two quarks and two antiquarks, in the (idealized) limit of a large number of colour degrees of freedom, Nc,; of quantum chromodynamics, QCD. Considering the scattering of two ordinary mesons into two ordinary mesons, we start off with formulating a set of selection criteria that should enable us to unambiguously single out precisely those contributions to all encountered scattering amplitudes that potentially will develop tetraquark poles. Assuming that tetraquark mesons do exist and, if so, emerge in the contributions compatible with our criteria at largest admissible order of Nc; we deduce, for the categories of tetraquarks that exhibit either four or only two different open quark flavours, that the decay rates of these tetraquark types are, at least, of order 1/N2c and that internal consistency requires all the members of the first species to exist pairwise, distinguishable by their favoured two-ordinary-meson decay channels.

scholarly journals The Leutwyler–Smilga relation on the lattice

2019 ◽  
Vol 35 (01) ◽  
pp. 1950346 ◽  
Author(s):  
Gernot Münster ◽  
Raimar Wulkenhaar
Keyword(s):  
Perturbation Theory ◽  
Quantum Chromodynamics ◽  
Lattice Qcd ◽  
Chiral Perturbation Theory ◽  
Effective Action ◽  
Lattice Spacing ◽  
Chiral Perturbation ◽  
Quark Masses

According to the Leutwyler–Smilga relation, in Quantum Chromodynamics (QCD), the topological susceptibility vanishes linearly with the quark masses. Calculations of the topological susceptibility in the context of lattice QCD, extrapolated to zero quark masses, show a remnant nonzero value as a lattice artefact. Employing the Atiyah–Singer theorem in the framework of Symanzik’s effective action and chiral perturbation theory, we show the validity of the Leutwyler–Smilga relation in lattice QCD with lattice artefacts of order a2 in the lattice spacing a.

scholarly journals Hamiltonian approach to QCD in Coulomb gauge: Perturbative treatment of the quark sector

2015 ◽  
Vol 30 (17) ◽  
pp. 1550100 ◽  
Author(s):  
Davide R. Campagnari ◽  
Hugo Reinhardt
Keyword(s):  
Perturbation Theory ◽  
Quantum Chromodynamics ◽  
Quark Propagator ◽  
Functional Integral ◽  
Coulomb Gauge ◽  
Hamiltonian Approach ◽  
Equal Time ◽  
Quark Sector ◽  
Schrödinger Perturbation ◽  
Perturbative Treatment

We study the static gluon and quark propagator of the Hamiltonian approach to quantum chromodynamics in Coulomb gauge in one-loop Rayleigh–Schrödinger perturbation theory. We show that the results agree with the equal-time limit of the four-dimensional propagators evaluated in the functional integral (Lagrangian) approach.

scholarly journals INTUITION IN TAKING DECISIONS CRUCIAL FOR THE SECURITY OF PERSONNEL IN PRISON UNITS

Probacja ◽  
2021 ◽  
Vol 2 ◽  
pp. 13-30
Author(s):  
Witold Mazurek ◽  
Grzegorz Fuchs
Keyword(s):  
Decision Making ◽  
Effective Action ◽  
Essential Role ◽  
Statistical Data ◽  
State Security ◽  
The Subject ◽  
Research Analysis ◽  
Crisis Situations

The authors undertake the issues of security in prison units. Basing on the results of research, analysis of statistical data, literature on the subject and their own experience in work for state security, they analyse selected aspects of decision-making aimed at preventing undesirable events in penitentiary units. Prevention plays an essential role in effective action against different incidents. Professional implementation of duties in this area prevents crisis situations. The circumstances in which these decisions are made, research suggests, may influence staff to follow their intuition.

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