Incompatibility of a superconvergence relation with conservation ofA-parity

1967 ◽  
Vol 49 (3) ◽  
pp. 499-503 ◽  
Author(s):  
K. V. Vasavada
Keyword(s):  
Superconvergence Relation

CONFINEMENT OF QUARKS AND GLUONS

1994 ◽  
Vol 09 (21) ◽  
pp. 3799-3819 ◽  
Author(s):  
KAZUHIKO NISHIJIMA
Keyword(s):  
Quantum Chromodynamics ◽  
Spectral Function ◽  
Weak Coupling ◽  
Anomalous Dimension ◽  
Weak Coupling Limit ◽  
Superconvergence Relation

It is proved without recourse to any approximation that quarks and gluons are confined simultaneously when the anomalous dimension of the gluon field is negative in the weak coupling limit. The proof is based on the BRS invariance of quantum chromodynamics and the Oehme–Zimmermann superconvergence relation for the spectral function of the gluon field.

Superconvergence relation for a linear combination of amplitudes

1968 ◽  
Vol 55 (4) ◽  
pp. 842-843 ◽  
Author(s):  
V. P. Seth ◽  
B. K. Agarwal
Keyword(s):  
Linear Combination ◽  
Superconvergence Relation

Approximate saturation of superconvergence relation

1967 ◽  
Vol 24 (1) ◽  
pp. 57-59 ◽  
Author(s):  
G. Altarelli ◽  
F. Buccella ◽  
R. Gatto
Keyword(s):  
Superconvergence Relation

A superconvergence relation for pseudoscalar meson-baryon scattering

1967 ◽  
Vol 24 (1) ◽  
pp. 65-67 ◽  
Author(s):  
P. Babu ◽  
F.J. Gilman ◽  
M. Suzuki
Keyword(s):  
Pseudoscalar Meson ◽  
Superconvergence Relation

scholarly journals POSITIVITY VIOLATIONS IN QCD

2013 ◽  
Vol 28 (38) ◽  
pp. 1330035 ◽  
Author(s):  
JOHN M. CORNWALL
Keyword(s):  
Spectral Function ◽  
Physical Interpretation ◽  
Gluon Propagator ◽  
Landau Gauge ◽  
Asymptotic Freedom ◽  
Theoretical Studies ◽  
Gauge Invariant ◽  
Superconvergence Relation

Both lattice simulations and theoretical studies show that the spectral function of the gluon propagator of QCD (in various gauges, as well as for the gauge-invariant Pinch Technique, or PT, propagator) is not nonnegative everywhere, although it should be if it has a physical interpretation as in QED. Theory says moreover that the non-positive spectral function of the Landau-gauge or of the PT gluon propagator is further constrained to obey a superconvergence relation (the integral of the spectral function vanishes). We review the theoretical and lattice evidence for violation of positivity as well as various interpretations of this violation, and consider methods for checking superconvergence on the lattice (so far undone). The most common interpretation is that positivity violation implies confinement of gluons, so the gluon propagator does not describe processes with physical gluons. Another more direct and gauge-invariant interpretation arises from the PT: Asymptotic freedom alone demands non-positivity and superconvergence.

Superconvergence relation at backward angle

1967 ◽  
Vol 49 (2) ◽  
pp. 214-217 ◽  
Author(s):  
J. Otokozawa
Keyword(s):  
Superconvergence Relation ◽  
Backward Angle
Sign in / Sign up

Export Citation Format

Share Document