CRANKING THE CHIRAL SOLITON BAG MODEL: QUANTUM CORRECTIONS

The generation of physical states from mean field hedgehogs by cranking is extended to coherent hedgehogs, thus improving the agreement between the cranking and coherent state projection methods, and enabling us to correct simultaneously for translational and rotational fluctuations. These corrections lead to a drastic reduction in the mean nucleon-delta mass which, for the physical values of mπ and Fπ, is lower than, or approximately equal to, the experimental value.

Download Full-text

BOSONIC CHERN-SIMONS FIELD THEORY OF ANYON SUPERCONDUCTIVITY

Modern Physics Letters A ◽

10.1142/s0217732392004109 ◽

1992 ◽

Vol 07 (28) ◽

pp. 2627-2636

Author(s):

NATHAN WEISS

Keyword(s):

Field Theory ◽

Particle Density ◽

Equations Of Motion ◽

Mean Field ◽

Meissner Effect ◽

Quantum Corrections ◽

Simple Explanation ◽

Field Solution ◽

The Mean ◽

Chern Simons

We study the quantum field theory of non-relativistic bosons coupled to a Chern-Simons gauge field at nonzero particle density. This field theory is relevant to the study of anyon superconductors in which the anyons are described as bosons with a statistical interaction. We show that it is possible to find a mean field solution to the equations of motion for this system which has some of the features of Bose condensation. The mean field solution consists of a lattice of vortices each carrying a single quantum of statistical magnetic flux. We speculate on the effects of the quantum corrections to this mean field solution. We argue that the mean field solution is only stable under quantum corrections if the Chern-Simons coefficient N=2πθ/g2 is an integer. Consequences for anyon superconductivity are presented. A simple explanation for the Meissner effect in this system is discussed.

Download Full-text

QUANTUM CORRECTIONS TO THE CRANKING MODEL

International Journal of Modern Physics E ◽

10.1142/s0218301392000059 ◽

1992 ◽

Vol 01 (01) ◽

pp. 95-130 ◽

Cited By ~ 1

Author(s):

ABRAHAM KLEIN ◽

NIELS R. WALET ◽

G. DO DANG

Keyword(s):

Degrees Of Freedom ◽

Quantum Correction ◽

Mean Field ◽

Original System ◽

Quantum Corrections ◽

Transition Rates ◽

Rotation Symmetry ◽

Exchange Effects ◽

Self Consistent ◽

The Mean

A method is described for the restoration of translation or rotation symmetry to a system of fermions, starting from a self-consistent cranking solution and valid when either momentum or angular momentum is large enough so that semi-classical approximations are valid. The quantum fluctuations that restore the broken symmetry are described in terms of the particle-hole degrees of freedom of the original system rather than by mapping these variables onto a boson space, as in most previous work. Only the leading quantum correction to the mean field solution is worked out in detail. New results include the treatment of direct and exchange effects on an equal footing and a method for computing transition rates.

Download Full-text

Exotic Baryons in Chiral Soliton Models

Universe ◽

10.3390/universe4120142 ◽

2018 ◽

Vol 4 (12) ◽

pp. 142

Author(s):

Herbert Weigel

Keyword(s):

Canonical Quantization ◽

Mean Field ◽

Field Approximation ◽

Mean Field Approximation ◽

Collective Coordinates ◽

Zero Modes ◽

Chiral Soliton ◽

Exotic Baryons ◽

The Mean

We cautiously review the treatment of pentaquark exotic baryons in chiral soliton models. We consider two examples and argue that any consistent and self-contained description must go beyond the mean field approximation that only considers the classical soliton and the canonical quantization of its (would-be) zero modes via collective coordinates.

Download Full-text

The baryon mass calculation in the chiral soliton model at finite temperature and density

International Journal of Modern Physics E ◽

10.1142/s0218301315500251 ◽

2015 ◽

Vol 24 (04) ◽

pp. 1550025 ◽

Cited By ~ 2

Author(s):

Hui Zhang ◽

Renda Dong ◽

Song Shu

Keyword(s):

Mean Field ◽

Field Approximation ◽

Mean Field Approximation ◽

Soliton Model ◽

Chiral Soliton ◽

Baryon Mass ◽

Chiral Soliton Model ◽

Thermal Medium ◽

The Mean ◽

Soliton Energy

In the mean-field approximation, we have studied the soliton which is embedded in a thermal medium within the chiral soliton model. The energy of the soliton or the baryon mass in the thermal medium has been carefully evaluated, in which we emphasize that the thermal effective potential in the soliton energy should be properly treated in order to derive a finite and well-defined baryon mass out of the thermal background. The result of the baryon mass at finite temperatures and densities in chiral soliton model are clearly presented.

Download Full-text

On the mean-field theory of the Karlsruhe dynamo experiment I. Kinematic theory

Magnetohydrodynamics ◽

10.22364/mhd.38.1-2.6 ◽

2002 ◽

Vol 38 (1-2) ◽

pp. 41-71 ◽

Cited By ~ 16

Keyword(s):

Field Theory ◽

Mean Field Theory ◽

Mean Field ◽

Kinematic Theory ◽

The Mean

Download Full-text

Path Integral Method in the Mean-field Model for the Magnetic Vector Potential

Geomagnetism and Aeronomy ◽

10.1134/s0016793220070300 ◽

2020 ◽

Vol 60 (7) ◽

pp. 989-992

Author(s):

E. V. Yushkov ◽

C. R. Kamaletdinov ◽

D. D. Sokoloff

Keyword(s):

Path Integral ◽

Vector Potential ◽

Integral Method ◽

Field Model ◽

Mean Field ◽

Magnetic Vector Potential ◽

Magnetic Vector ◽

Mean Field Model ◽

The Mean ◽

Path Integral Method

Download Full-text

Classical Kinetic Theory

10.1093/oso/9780198797241.003.0003 ◽

2018 ◽

Author(s):

Klaus Morawetz

Keyword(s):

Kinetic Equation ◽

Equation Of State ◽

Mean Field ◽

Ideal Gas ◽

Hydrodynamic Equations ◽

Free Particles ◽

Internal Mechanism ◽

The Mean ◽

Energy Gains ◽

Non Locality

The classical non-ideal gas shows that the two original concepts of the pressure based of the motion and the forces have eventually developed into drift and dissipation contributions. Collisions of realistic particles are nonlocal and non-instant. A collision delay characterizes the effective duration of collisions, and three displacements, describe its effective non-locality. Consequently, the scattering integral of kinetic equation is nonlocal and non-instant. The non-instant and nonlocal corrections to the scattering integral directly result in the virial corrections to the equation of state. The interaction of particles via long-range potential tails is approximated by a mean field which acts as an external field. The effect of the mean field on free particles is covered by the momentum drift. The effect of the mean field on the colliding pairs causes the momentum and the energy gains which enter the scattering integral and lead to an internal mechanism of energy conversion. The entropy production is shown and the nonequilibrium hydrodynamic equations are derived. Two concepts of quasiparticle, the spectral and the variational one, are explored with the help of the virial of forces.

Download Full-text