On-shell expansion of effective action and quark-line diagrams in quantum chromodynamics

1992 ◽  
Vol 46 (6) ◽  
pp. 2602-2616 ◽  
Author(s):  
M. Komachiya ◽  
R. Fukuda
Keyword(s):  
Quantum Chromodynamics ◽  
Effective Action ◽  
Quark Line

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 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.

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.

Effective action on global warming?

1990 ◽  
Vol 4 (6) ◽  
pp. 262
Author(s):  
P.R. Wyman
Keyword(s):  
Global Warming ◽  
Effective Action
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