QCD from the effective Lagrangian point of view

1980 ◽  
Author(s):  
Joseph Schechter
Keyword(s):  
Point Of View ◽  
Lagrangian Point ◽  
Effective Lagrangian

THE EFFECTIVE LAGRANGIAN APPROACH TO THE "PROTON-SPIN PUZZLE" AND THE ISSUE OF "TWO COMPONENTS"

1992 ◽  
Vol 07 (01) ◽  
pp. 1-11 ◽  
Author(s):  
J. SCHECHTER ◽  
V. SONI ◽  
A. SUBBARAMAN ◽  
H. WEIGEL
Keyword(s):  
Matrix Element ◽  
Short Distance ◽  
Skyrme Model ◽  
Proton Spin ◽  
Point Of View ◽  
Lagrangian Approach ◽  
Lagrangian Point ◽  
Distance Information ◽  
Effective Lagrangian

The "proton-spin puzzle" is examined from the effective Lagrangian point of view. A generalized (to include "short distance" information) Skyrme model is shown to give a satisfactory picture. We then examine the question of the breakup of the axial singlet matrix element into "matter" and "glue" pieces in this framework.

scholarly journals Partition Function in One, Two, and Three Spatial Dimensions from Effective Lagrangian Field Theory

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Christoph P. Hofmann
Keyword(s):  
Partition Function ◽  
Degrees Of Freedom ◽  
Spatial Dimension ◽  
Lagrangian Method ◽  
Point Of View ◽  
Low Energy ◽  
Effective Theory ◽  
Goldstone Bosons ◽  
Effective Lagrangian ◽  
Spatial Dimensions

The systematic effective Lagrangian method was first formulated in the context of the strong interaction; chiral perturbation theory (CHPT) is the effective theory of quantum chromodynamics (QCD). It was then pointed out that the method can be transferred to the nonrelativistic domain—in particular, to describe the low-energy properties of ferromagnets. Interestingly, whereas for Lorentz-invariant systems the effective Lagrangian method fails in one spatial dimension (ds=1), it perfectly works for nonrelativistic systems in ds=1. In the present brief review, we give an outline of the method and then focus on the partition function for ferromagnetic spin chains, ferromagnetic films, and ferromagnetic crystals up to three loops in the perturbative expansion—an accuracy never achieved by conventional condensed matter methods. We then compare ferromagnets in ds=1, 2, 3 with the behavior of QCD at low temperatures by considering the pressure and the order parameter. The two apparently very different systems (ferromagnets and QCD) are related from a universal point of view based on the spontaneously broken symmetry. In either case, the low-energy dynamics is described by an effective theory containing Goldstone bosons as basic degrees of freedom.

scholarly journals Energy of wave and solutions of C-Holm equation under Lagrangian point of view

2018 ◽  
Vol 6 (11) ◽  
Author(s):  
Shkelqim Hajrulla ◽  
L Bezati ◽  
F Hoxha
Keyword(s):  
Energy Density ◽  
Initial Data ◽  
Coordinate Transformation ◽  
Radon Measure ◽  
Continuous Semigroup ◽  
Point Of View ◽  
Lagrangian Point ◽  
Lagrangian Coordinates ◽  
Positive Radon Measure ◽  
Holm Equation

     Abstract: We deal with the Camassa-Holm equation   possesses a global continuous semigroup of weak conservative solutions for initial data. The result is obtained by introducing a coordinate transformation into Lagrangian coordinates. To characterize conservative solutions it is necessary to include the energy density given by the positive Radon measure µ with . The total energy is preserved by the solution.

SCALE FACTOR DUALITY AND GENERAL TRANSFORMATIONS FOR STRING COSMOLOGY

1993 ◽  
Vol 02 (03) ◽  
pp. 367-371 ◽  
Author(s):  
SALVATORE CAPOZZIELLO ◽  
RUGGIERO DE RITIS
Keyword(s):  
Exact Solutions ◽  
String Cosmology ◽  
Scale Factor ◽  
Point Of View ◽  
Tree Level ◽  
General Point ◽  
Effective Lagrangian ◽  
New System

We adopt a general point of view to obtain the scale factor duality for a class of nonminimally coupled gravitational Lagrangians which comprises the tree-level effective Lagrangian of string-dilaton cosmology. We show that in a new system of coordinates the duality is a reflection and the Lagrangians become cyclic with respect to a coordinate. When this is the situation, the dynamics is simplified and it is easier to obtain exact solutions.

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