SPECTRAL FUNCTION SUM RULE FOR GAUGE FIELDS

1996 ◽  
Vol 11 (13) ◽  
pp. 2281-2292 ◽  
Author(s):  
KAZUHIKO NISHIJIMA ◽  
NOBORU TAKASE
Keyword(s):  
Gauge Field ◽  
Spectral Function ◽  
Absorptive Part ◽  
Renormalization Constant ◽  
Asymptotic Freedom ◽  
Sum Rule ◽  
Color Confinement ◽  
Exact Evaluation ◽  
Close Relationship ◽  
Wave Function Renormalization Constant

An exact evaluation of the wave function renormalization constant for the color gauge field is carried out because of the close relationship that it bears to color confinement. Since this constant can be expressed as an integral of the absorptive part or the spectral function of the gauge field propagator, the result takes the form of a sum rule for the spectral function. It should be emphasized that asymptotic freedom plays an essential role in its derivation.

RENORMALIZATION CONSTANTS IN QUANTUM CHROMODYNAMICS

1998 ◽  
Vol 13 (09) ◽  
pp. 1507-1513
Author(s):  
KAZUHIKO NISHIJIMA ◽  
IZURU DEMIZU
Keyword(s):  
Renormalization Group ◽  
Renormalization Constant ◽  
Qualitative Evaluation ◽  
Group Method ◽  
Renormalization Group Method ◽  
Sum Rule ◽  
Gauge Dependence ◽  
Quark Field ◽  
Exact Evaluation ◽  
Renormalization Constants

The gauge dependence of the renormalization constant of the quark field has been studied with the help of the renormalization group method. In the case of the color gauge field an exact evaluation of the renormalization constant is feasible because of the presence of a sum rule, but in the absence of the corresponding sum rule, only a qualitative evaluation is possible for the quark field.

scholarly journals Dark matter, dark energy and gravity

2015 ◽  
Vol 24 (02) ◽  
pp. 1550012 ◽  
Author(s):  
B. A. Robson
Keyword(s):  
Dark Matter ◽  
Dark Energy ◽  
Particle Physics ◽  
Composite Structures ◽  
Gravitational Interaction ◽  
Asymptotic Freedom ◽  
Generation Model ◽  
Newtonian Gravitation ◽  
Color Confinement ◽  
Vector Bosons

Within the framework of the Generation Model (GM) of particle physics, gravity is identified with the very weak, universal and attractive residual color interactions acting between the colorless particles of ordinary matter (electrons, neutrons and protons), which are composite structures. This gravitational interaction is mediated by massless vector bosons (hypergluons), which self-interact so that the interaction has two additional features not present in Newtonian gravitation: (i) asymptotic freedom and (ii) color confinement. These two additional properties of the gravitational interaction negate the need for the notions of both dark matter and dark energy.

CONFINEMENT OF QUARKS AND GLUONS II

1995 ◽  
Vol 10 (22) ◽  
pp. 3155-3167 ◽  
Author(s):  
KAZUHIKO NISHIJIMA
Keyword(s):  
Quantum Chromodynamics ◽  
Preceding Paper ◽  
Asymptotic Freedom ◽  
Color Confinement ◽  
The One

It is shown that color confinement is a consequence of BRS invariance and asymptotic freedom of quantum chromodynamics. BRS invariance is exploited to define color confinement, and asymptotic freedom is utilized to prove it. The proof presented in this paper is an extension of the one in the preceding paper.

scholarly journals LANDAU GHOSTS AND ANTI-GHOSTS IN CONDENSED MATTER AND HIGH DENSITY HADRONIC MATTER

2002 ◽  
Vol 16 (30) ◽  
pp. 1201-1209 ◽  
Author(s):  
S. SIVASUBRAMANIAN ◽  
A. WIDOM ◽  
Y. N. SRIVASTAVA
Keyword(s):  
Room Temperature ◽  
Condensed Matter ◽  
Dyson Equation ◽  
Hadronic Matter ◽  
Asymptotic Freedom ◽  
Polar Liquids ◽  
Quantum Chromo Dynamics ◽  
Color Confinement ◽  
Loop Approximation ◽  
Lorentz Equation

It is observed that the "ghost" (originally discovered by Landau in quantum electro-dynamics) and its counterparts in other theories are indeed ubiquitous as they occur in a one-loop approximation to any conventional (unbroken) gauge theory. The mechanism is first exposed in its generality via the Dyson equation and a simple but explicit example in condensed matter is provided through the static Clausius–Mossotti equation and its dynamic counterpart, the Lorenz–Lorentz equation. The physical phase transition phenomenon associated with it is found to be super-radiance. We verify quantitatively that water (and many other polar liquids) are indeed super-radiant at room temperature. In quantum chromo-dynamics on the other hand, we encounter, thanks to asymptotic freedom, an "anti-ghost" which is closely associated with color confinement. Thus, in QCD, free quarks and glue exist in a super-radiant phase and hadronic matter exists in the normal one.

scholarly journals ON THE QCD SUM RULE DETERMINATION OF THE STRANGE QUARK MASS

2001 ◽  
Vol 16 (supp01b) ◽  
pp. 588-590 ◽  
Author(s):  
NELLO PAVER
Keyword(s):  
Spectral Function ◽  
Quark Mass ◽  
Strange Quark ◽  
Sum Rules ◽  
Sum Rule ◽  
Strange Quark Mass ◽  
Current Quark Mass ◽  
Current Quark

I briefly review recent QCD Sum Rules determinations of the strange current quark mass, based on the analysis of the two-point ΔS=1 scalar correlators and discuss, in particular, the role of resonances and non-resonant background in the spectral function.

Renormalization Group and Color Confinement

1998 ◽  
Vol 12 (12n13) ◽  
pp. 1355-1364 ◽  
Author(s):  
K. Nishijima
Keyword(s):  
Renormalization Group ◽  
Gauge Symmetry ◽  
Quantum Chromodynamics ◽  
Asymptotic Freedom ◽  
Abelian Gauge ◽  
Color Confinement

It is shown that color confinement is an inevitable consequence of an unbroken non-Abelian gauge symmetry and the resulting asymptotic freedom of quantum chromodynamics.

scholarly journals U(1)×SU(2) Gauge Theory of Underdoped Cuprate Superconductors

1998 ◽  
Vol 12 (05) ◽  
pp. 173-180 ◽  
Author(s):  
P. A. Marchetti ◽  
Zhao-Bin Su ◽  
Lu Yu
Keyword(s):  
Gauge Theory ◽  
Fermi Surface ◽  
Transport Properties ◽  
Gauge Field ◽  
Spectral Function ◽  
Normal State ◽  
Doping Concentration ◽  
Cuprate Superconductors ◽  
Low Energy ◽  
Chern Simons

The U(1)×SU(2) Chern–Simons gauge theory is applied to study the 2D t–J model describing the normal state of underdoped cuprate superconductors. The U(1) field produces a flux phase for holons converting them into Dirac-like fermions, while the SU(2) field, due to the coupling to holons gives rise to a gap for spinons. An effective low-energy action involving holons, spinons and a self-generated U(1) gauge field is derived. The Fermi surface and electron spectral function obtained are consistent with photoemission experiments. The theory predicts a minimal gap proportional to doping concentration. It also explains anomalous transport properties.

Spectral function sum rule and onium

1979 ◽  
Vol 24 (3) ◽  
pp. 65-71
Author(s):  
S. Iwao
Keyword(s):  
Spectral Function ◽  
Sum Rule
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