Gluon propagator and effective Lagrangian in quantum chromodynamics

1982 ◽  
Vol 26 (2) ◽  
pp. 489-498 ◽  
Author(s):  
Volker Schanbacher
Keyword(s):  
Quantum Chromodynamics ◽  
Gluon Propagator ◽  
Effective Lagrangian

An effective Lagrangian for quantum chromodynamics: The structure of hadrons

1985 ◽  
Vol 32 (7) ◽  
pp. 1807-1815 ◽  
Author(s):  
L. S. Celenza ◽  
C. M. Shakin
Keyword(s):  
Quantum Chromodynamics ◽  
Effective Lagrangian

Is the effective Lagrangian for quantum chromodynamics aσmodel?

1980 ◽  
Vol 21 (12) ◽  
pp. 3388-3392 ◽  
Author(s):  
C. Rosenzweig ◽  
J. Schechter ◽  
C. G. Trahern
Keyword(s):  
Quantum Chromodynamics ◽  
Effective Lagrangian

scholarly journals THE EFFECTIVE LAGRANGIAN OF THREE DIMENSIONAL QUANTUM CHROMODYNAMICS

1992 ◽  
Vol 07 (32) ◽  
pp. 7989-8000 ◽  
Author(s):  
G. FERRETTI ◽  
S.G. RAJEEV ◽  
Z. YANG
Keyword(s):  
Quantum Chromodynamics ◽  
Sigma Model ◽  
Three Dimensional ◽  
Low Energy ◽  
Nonlinear Sigma Model ◽  
Flavor Symmetry ◽  
Energy Limit ◽  
Long Wavelength ◽  
Effective Lagrangian ◽  
Chern Simons

We consider the low energy limit of three dimensional quantum chromodynamics (QCD) with an even number of flavors. We show that parity is not spontaneously broken, but the global (flavor) symmetry is spontaneously broken. The low energy effective Lagrangian is a nonlinear sigma model on the Grassmannian. Some Chern-Simons terms are necessary in the Lagrangian to realize the discrete symmetries correctly. We consider also another parametrization of the low energy sector which leads to a three dimensional analogue of the Wess-Zumino-Witten-Novikov model. Since three dimensional QCD is believed to be a model for quantum antiferromagnetism, our effective Lagrangian can describe their long wavelength excitations (spin waves).

scholarly journals BARYONS AS SOLITONS IN THREE-DIMENSIONAL QUANTUM CHROMODYNAMICS

1992 ◽  
Vol 07 (32) ◽  
pp. 8001-8019 ◽  
Author(s):  
G. FERRETTI ◽  
S.G. RAJEEV ◽  
Z. YANG
Keyword(s):  
Quantum Chromodynamics ◽  
Quark Model ◽  
Magnetic Moments ◽  
Three Dimensional ◽  
Collective Variables ◽  
Soliton Model ◽  
Quantum Numbers ◽  
Effective Lagrangian ◽  
Quantum Antiferromagnet

We show that baryons of three-dimensional quantum chromodynamics can be understood as solitons of its effective Lagrangian. In the parity-preserving phase we study, these baryons are fermions for odd Nc and bosons for even Nc, never anyons. We quantize the collective variables of the solitons and thereby calculate the flavor quantum numbers. magnetic moments and mass splittings of the baryon. The flavor quantum numbers are in agreement with naive quark model for the low-lying states. The magnetic moments and mass splittings are smaller in the soliton model by a factor of logFπ/Ncmπ. We also show that there is a dibaryon solution that is an analog of the deuteron. These solitons can describe defects in a quantum antiferromagnet.

Effective Lagrangian due to heavy quarks in quantum chromodynamics

1980 ◽  
Vol 22 (2) ◽  
pp. 514-522 ◽  
Author(s):  
Yoichi Kazama ◽  
York-Peng Yao
Keyword(s):  
Quantum Chromodynamics ◽  
Heavy Quarks ◽  
Effective Lagrangian

scholarly journals QCD IN THE INFRARED WITH EXACT ANGULAR INTEGRATIONS

1998 ◽  
Vol 13 (13) ◽  
pp. 1055-1062 ◽  
Author(s):  
D. ATKINSON ◽  
J. C. R. BLOCH
Keyword(s):  
Fixed Point ◽  
Quantum Chromodynamics ◽  
Gluon Propagator ◽  
Simple Pole ◽  
Exact Calculation ◽  
Ghost Propagator ◽  
Infrared Behavior ◽  
Infrared Limit

In a previous paper we have shown that in quantum chromodynamics the gluon propagator vanishes in the infrared limit, while the ghost propagator is more singular than a simple pole. These results were obtained after angular averaging, but here we go beyond this approximation and perform an exact calculation of the angular integrals. The powers of the infrared behavior of the propagators are changed substantially. We find the very intriguing result that the gluon propagator vanishes in the infrared exactly like p2, whilst the ghost propagator is exactly as singular as 1/p4. We also find that the value of the infrared fixed point of the QCD coupling is much decreased: it is now equal to 4π/3.

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