scholarly journals SU(Nc→∞)lattice data and degrees of freedom of the QCD string

2006 ◽  
Vol 74 (1) ◽  
Author(s):  
S. Dalley
Keyword(s):  
Degrees Of Freedom ◽  
Lattice Data ◽  
Qcd String

scholarly journals Conformal invariance and degrees of freedom in the QCD string

1994 ◽  
Vol 72 (2) ◽  
pp. 187-190 ◽  
Author(s):  
Keith R. Dienes ◽  
Jean-René Cudell
Keyword(s):  
Conformal Invariance ◽  
Degrees Of Freedom ◽  
Qcd String

scholarly journals On the axial-vector form factor of the nucleon and chiral symmetry

2020 ◽  
Vol 80 (9) ◽  
Author(s):  
Matthias F. M. Lutz ◽  
Ulrich Sauerwein ◽  
Rob G. E. Timmermans
Keyword(s):  
Form Factor ◽  
Degrees Of Freedom ◽  
Pion Mass ◽  
Axial Vector ◽  
Vector Form Factor ◽  
Data Sets ◽  
Lattice Data ◽  
Vector Form ◽  
The Impact ◽  
Axial Vector Form Factor

AbstractWe consider the chiral Lagrangian with nucleon, isobar, and pion degrees of freedom. The baryon masses and the axial-vector form factor of the nucleon are derived at the one-loop level. We explore the impact of using on-shell baryon masses in the loop expressions. As compared to results from conventional chiral perturbation theory we find significant differences. An application to QCD lattice data is presented. We perform a global fit to the available lattice data sets for the baryon masses and the nucleon axial-vector form factor, and determine the low-energy constants relevant at $$\hbox {N}^3$$ N 3 LO for the baryon masses and at $$\hbox {N}^2$$ N 2 LO for the form factor. Partial finite-volume effects are considered. We point out that the use of on-shell masses in the loops results in non-analytic behavior of the baryon masses and the form factor as function of the pion mass, which becomes prominent for larger lattice volumes than presently used.

scholarly journals CHIRAL DYNAMICS FROM THE HADRONIC STRING: GENERAL FORMALISM

2006 ◽  
Vol 21 (16) ◽  
pp. 3337-3365 ◽  
Author(s):  
A. A. ANDRIANOV ◽  
D. ESPRIU ◽  
A. PRATS
Keyword(s):  
Degrees Of Freedom ◽  
Equations Of Motion ◽  
Two Dimensions ◽  
Gauge Fields ◽  
Boundary Interaction ◽  
Overwhelming Evidence ◽  
Intrinsic Parity ◽  
Qcd String ◽  
External Gauge ◽  
Chiral Lagrangian

Quantum Chromodynamics (QCD) at long distances can be described by the chiral Lagrangian. On the other hand there is overwhelming evidence that QCD and all non-Abelian theories admit an effective string description. Here we review a derivation of the (intrinsic) parity-even chiral Lagrangian by requiring that the propagation of the QCD string takes place on a background where chiral symmetry is spontaneously broken. Requiring conformal invariance leads to the equation of motion of the chiral Lagrangian. We then proceed to coupling the string degrees of freedom to external gauge fields and we recover in this way the covariant equations of motion of the gauge-invariant chiral Lagrangian at [Formula: see text]. We consider next the parity-odd part (Wess–Zumino–Witten) action and argue that this requires the introduction of the spin degrees of freedom (absent in the usual effective action treatment). We manage to reproduce the Wess–Zumino–Witten term in two dimensions (2D) in an unambiguous way. In 4D the situation is considerably more involved. We outline the modification of boundary interaction that is necessary to induce the parity-odd part of the chiral Lagrangian.

scholarly journals Chiral dynamics with confinement versus the standard chiral theory

2021 ◽  
Vol 36 (33) ◽  
Author(s):  
Yu. A. Simonov
Keyword(s):  
Degrees Of Freedom ◽  
Chiral Symmetry Breaking ◽  
Quark Condensate ◽  
Wave Functions ◽  
Lattice Data ◽  
Mass Limit ◽  
Decay Constants ◽  
Chiral Theory ◽  
The Masses ◽  
Good Agreement

Chiral dynamics is investigated using the chiral confining Lagrangian (CCL), previously derived from QCD with confinement interaction. Based on the calculations of the quark condensate, which is defined entirely by confinement in the zero quark mass limit, one can assert that chiral symmetry breaking is predetermined by confinement. It is shown that CCL retains all basic relations of the standard chiral theory but enables one to include quark degrees of freedom in the CCL. The expansion of the CCL provides the Gell–Mann–Oakes–Renner (GMOR) relations and the masses and decay constants of all chiral mesons, including [Formula: see text]. For the latter, one needs to define a nonchiral component due to confinement, while the orthogonality condition defines the wave functions and the eigenvalues. The resulting masses and decay constants of all chiral mesons are obtained in good agreement with the experimental and lattice data.

The motion of a lunar orbiter

1966 ◽  
Vol 25 ◽  
pp. 373
Author(s):  
Y. Kozai
Keyword(s):  
Degrees Of Freedom ◽  
Dimensional Space ◽  
Artificial Satellite ◽  
Equations Of Motion ◽  
Triaxial Ellipsoid ◽  
The Moon ◽  
Secular Motion ◽  
The Earth ◽  
Close Satellite ◽  
The Mean

The motion of an artificial satellite around the Moon is much more complicated than that around the Earth, since the shape of the Moon is a triaxial ellipsoid and the effect of the Earth on the motion is very important even for a very close satellite.The differential equations of motion of the satellite are written in canonical form of three degrees of freedom with time depending Hamiltonian. By eliminating short-periodic terms depending on the mean longitude of the satellite and by assuming that the Earth is moving on the lunar equator, however, the equations are reduced to those of two degrees of freedom with an energy integral.Since the mean motion of the Earth around the Moon is more rapid than the secular motion of the argument of pericentre of the satellite by a factor of one order, the terms depending on the longitude of the Earth can be eliminated, and the degree of freedom is reduced to one.Then the motion can be discussed by drawing equi-energy curves in two-dimensional space. According to these figures satellites with high inclination have large possibilities of falling down to the lunar surface even if the initial eccentricities are very small.The principal properties of the motion are not changed even if plausible values ofJ3andJ4of the Moon are included.This paper has been published in Publ. astr. Soc.Japan15, 301, 1963.

Representing utility and deploying the body

2020 ◽  
Vol 43 ◽  
Author(s):  
David Spurrett
Keyword(s):  
Functional Activity ◽  
Degrees Of Freedom ◽  
The Body ◽  
Target Article ◽  
Processing Demands ◽  
The Many

Abstract Comprehensive accounts of resource-rational attempts to maximise utility shouldn't ignore the demands of constructing utility representations. This can be onerous when, as in humans, there are many rewarding modalities. Another thing best not ignored is the processing demands of making functional activity out of the many degrees of freedom of a body. The target article is almost silent on both.

Das Experten-Novizen-Paradigma und die Vertrauenskrise in der Psychologie

2016 ◽  
Vol 23 (4) ◽  
pp. 131-140 ◽  
Author(s):  
Philip Furley ◽  
Karsten Schul ◽  
Daniel Memmert
Keyword(s):  
Degrees Of Freedom

Zusammenfassung. Das Ziel des vorliegenden Beitrages ist es anhand eines vielverwendeten Paradigmas in der Sportwissenschaft – dem Experten-Novizen-Vergleich – zu prüfen, ob die momentane Vertrauenskrise in der Psychologie ebenfalls die Sportpsychologie betreffen könnte. Anhand einer exemplarischen Studie zeigen wir, dass es innerhalb dieses Paradigmas zu kontroversen Befunden kommt, welche durch die vermuteten Ursachen der Vertrauenskrise (Researcher Degrees of Freedom, kleine Stichprobengrößen) erklärt sein könnten. Zusätzlich argumentieren wir, dass weitere Faktoren (Konfundierung, Stichprobengrößen, Rosenthal Effekt, Expertise-Definition) innerhalb dieses Paradigmas die Reproduzierbarkeit von Erkenntnissen in Frage stellen. Wir diskutieren mögliche Maßnahmen, wie die dargestellten Probleme des Experten-Novizen-Paradigmas in zukünftigen Forschungsarbeiten gelöst werden können.

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