scholarly journals PLUGGING THE GAUGE-FIXING INTO THE LAGRANGIAN

1996 ◽  
Vol 11 (05) ◽  
pp. 975-987 ◽  
Author(s):  
J.M. PONS
Keyword(s):  
Dynamical System ◽  
Complete Analysis ◽  
Full Detail ◽  
Gauge Freedom ◽  
Original Theory ◽  
Gauge Fixing

A complete analysis of the consequences of introducing a set of holonomic gauge-fixing constraints (to fix the dynamics) into a singular Lagrangian is performed. It is shown that in general the dynamical system originating from the reduced Lagrangian erases all the information regarding the first class constraints of the original theory, but retains the second class ones. It is proved that even though the reduced Lagrangian can be singular, it never possesses any gauge freedom. As an application, the example of n·A=0 gauges in electromagnetism is treated in full detail.

RATIONAL HOPF ALGEBRAS: POLYNOMIAL EQUATIONS, GAUGE FIXING, AND LOW-DIMENSIONAL EXAMPLES

1995 ◽  
Vol 10 (24) ◽  
pp. 3431-3476 ◽  
Author(s):  
JÜRGEN FUCHS ◽  
ALEXANDER GANCHEV ◽  
PETER VECSERNYÉS
Keyword(s):  
Hopf Algebras ◽  
Field Theories ◽  
Polynomial Equations ◽  
Fusion Rules ◽  
Gauge Freedom ◽  
Rational Field ◽  
All Solutions ◽  
Gauge Fixing ◽  
Level 3 ◽  
Low Dimensional

Rational Hopf algebras, i.e. certain quasitriangular weak quasi-Hopf algebras whose representations form a tortile modular C* category, are expected to describe the quantum symmetry of rational field theories. In this paper the essential structure (hidden by a large gauge freedom) of rational Hopf algebras is revealed. This allows one to construct examples of rational Hopf algebras starting only from the corresponding fusion ring. In particular we classify all solutions for fusion rules with not more than three sectors, as well as for the level 3 affine [Formula: see text] fusion rules.

scholarly journals Wong’s equations in Yang-Mills theory

Open Physics ◽  
2014 ◽  
Vol 12 (4) ◽  
Author(s):  
Sergey Storchak
Keyword(s):  
Dynamical System ◽  
Compact Riemannian Manifold ◽  
Scalar Particle ◽  
Orbit Space ◽  
Yang Mills ◽  
Smooth Action ◽  
Finite Dimensional ◽  
Gauge Fixing ◽  
Dimensional Dynamical System ◽  
Dependent Coordinates

AbstractWong’s equations for the finite-dimensional dynamical system representing the motion of a scalar particle on a compact Riemannian manifold with a given free isometric smooth action of a compact semi-simple Lie group are derived. The equations obtained are written in terms of dependent coordinates which are typically used in an implicit description of the local dynamics given on the orbit space of the principal fiber bundle. Using these equations, we obtain Wong’s equations in a pure Yang-Mills gauge theory with Coulomb gauge fixing. This result is based on the existing analogy between the reduction procedures performed in a finite-dimensional dynamical system and the reduction procedure in Yang-Mills gauge fields.

scholarly journals A note on the $$ \mathcal{N} $$ = 2 super-$$ {\mathcal{W}}_3 $$ holographic dictionary

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Alejandra Castro ◽  
Alberto Faraggi ◽  
Israel Osorio
Keyword(s):  
Companion Paper ◽  
Complete Analysis ◽  
Full Detail ◽  
Spectral Flow ◽  
Real Form ◽  
Multiplet Structure ◽  
Lorentzian Signature ◽  
Flow Invariance ◽  
Chern Simons ◽  
Asymptotic Symmetries

Abstract This is a long-overdue companion paper to [1]. We study the relation between sl(3|2) Chern-Simons supergravity on AdS3 and two-dimensional CFT’s with $$ \mathcal{N} $$ N = 2 super-$$ {\mathcal{W}}_3 $$ W 3 symmetry. Specifically, we carry out a complete analysis of asymptotic symmetries in a basis that makes the superconformal structure transparent, allowing us to establish the precise dictionary between currents and transformation parameters in the bulk and their boundary counterparts. We also discuss the incorporation of sources and display in full detail the corresponding holographic Ward identities. By imposing suitable hermiticity conditions on the CFT currents, we identify the superalgebra su(2, 1|1, 1) as the appropriate real form of sl(3|2) in Lorentzian signature. We take the opportunity to review some of the properties of the $$ \mathcal{N} $$ N = 2 super-$$ {\mathcal{W}}_3 $$ W 3 conformal algebra, including its multiplet structure, OPE’s and spectral flow invariance, correcting some minor typos present in the literature.

TOURIST BUSINESS DEVELOPMENT IN UKRAINE

2019 ◽  
pp. 39-46
Author(s):  
Stefania Mosiuk ◽  
Igor Mosiuk ◽  
Vladimir Mosiuk
Keyword(s):  
National Economy ◽  
Methodological Approach ◽  
Business Development ◽  
Tourism Industry ◽  
The State ◽  
Complete Analysis ◽  
Resource Potential ◽  
The World ◽  
Potential Resource ◽  
Favorable Conditions

The purpose of the article is to analyze and substantiate the development of tourism business in Ukraine as a priority component of the national economy. The methodology of this study is to use analytical, spatial, geographical, cultural and other methods. This methodological approach provided an opportunity to carry out a complete analysis of the state of the tourism industry of the state and to draw some conclusions.The scientific novelty lies in the coverage of the real and potential resource potential for the development of the recreational and tourism sphere in Ukraine, detailing the measures for the country ‘s entry into the world tourist market. Conclusions. Analyzing the state and prospects of tourism business development in Ukraine, it should be noted that this industry is one of the priority areas for improving the economy of the country. Historical, cultural – ethnographic, gastronomic, sanatorium and resort potentials of the country will lead the country into world leaders of the tourism industry when creating favorable conditions for investment and proper marketing.

Dosimetry and optimization in digital radiography based on the contrast-detail resolution

2018 ◽  
Vol 6 (3) ◽  
Author(s):  
Wilson Otto Gomes Batista ◽  
Alexandre Gomes De Carvalho
Keyword(s):  
Image Quality ◽  
Inverse Image ◽  
Point Of View ◽  
Complete Analysis ◽  
Portable Devices ◽  
Evaluation Tool ◽  
Air Kerma ◽  
Direct Radiography ◽  
Definition Of ◽  
Entrance Surface Air Kerma

Contrast-detail (C-D) curves are useful in evaluating the radiographic image quality in a global way. The objective of the present study was to obtain the C-D curves and the inverse image quality figure. Both of these parameters were used as an evaluation tool for abdominal and chest imaging protocols. The C-D curves were obtained with the phantom CDRAD 2.0 in computerized radiography and the direct radiography systems (including portable devices). The protocols were 90 and 102 kV in the range of 2 to 20 mAs for the chest and 80 kV in the range of 10 to 80 mAs for the abdomen. The incident air kerma values were evaluated with a solid state sensor. The analysis of these C-D curves help to identify which technique would allow a lower value of the entrance surface air kerma, Ke, while maintaining the image quality from the point of view of C-D detectability. The results showed that the inverse image quality figure, IQFinv, varied little throughout the range of mAs, while the value of Ke varied linearly directly with the mAs values. Also, the complete analysis of the curves indicated that there was an increase in the definition of the details with increasing mAs. It can be concluded that, in the transition phase for the use of the new receptors, it is necessary to evaluate and adjust the practised protocols to ensure, at a minimum, the same levels of the image quality, taking into account the aspects of the radiation protection of the patient.

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