scholarly journals Confinement, Monopoles and Gauge Invariance

2018 ◽  
Vol 192 ◽  
pp. 00001
Author(s):  
Adriano Di Giacomo

The status is reviewed of the lattice studies of confinement by dual superconductivity of QCD vacuum. Progress is made by proving that the existence and the creation of a monopole are gauge invariant concepts. This proof fully legitimates an existing order parameter, and with it the evidence it provides of monopole condensation in the confining vacuum.

2007 ◽  
pp. 5-27 ◽  
Author(s):  
J. Searle

The author claims that an institution is any collectively accepted system of rules (procedures, practices) that enable us to create institutional facts. These rules typically have the form of X counts as Y in C, where an object, person, or state of affairs X is assigned a special status, the Y status, such that the new status enables the person or object to perform functions that it could not perform solely in virtue of its physical structure, but requires as a necessary condition the assignment of the status. The creation of an institutional fact is, thus, the collective assignment of a status function. The typical point of the creation of institutional facts by assigning status functions is to create deontic powers. So typically when we assign a status function Y to some object or person X we have created a situation in which we accept that a person S who stands in the appropriate relation to X is such that (S has power (S does A)). The whole analysis then gives us a systematic set of relationships between collective intentionality, the assignment of function, the assignment of status functions, constitutive rules, institutional facts, and deontic powers.


2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Ali Akil ◽  
Xi Tong

Abstract We point out the necessity of resolving the apparent gauge dependence in the quantum corrections of cosmological observables for Higgs-like inflation models. We highlight the fact that this gauge dependence is due to the use of an asymmetric background current which is specific to a choice of coordinate system in the scalar manifold. Favoring simplicity over complexity, we further propose a practical shortcut to gauge-independent inflationary observables by using effective potential obtained from a polar-like background current choice. We demonstrate this shortcut for several explicit examples and present a gauge-independent prediction of inflationary observables in the Abelian Higgs model. Furthermore, with Nielsen’s gauge dependence identities, we show that for any theory to all orders, a gauge-invariant current term gives a gauge-independent effective potential and thus gauge-invariant inflationary observables.


2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Guillaume Bossard ◽  
Axel Kleinschmidt ◽  
Ergin Sezgin

Abstract We construct a pseudo-Lagrangian that is invariant under rigid E11 and transforms as a density under E11 generalised diffeomorphisms. The gauge-invariance requires the use of a section condition studied in previous work on E11 exceptional field theory and the inclusion of constrained fields that transform in an indecomposable E11-representation together with the E11 coset fields. We show that, in combination with gauge-invariant and E11-invariant duality equations, this pseudo-Lagrangian reduces to the bosonic sector of non-linear eleven-dimensional supergravity for one choice of solution to the section condi- tion. For another choice, we reobtain the E8 exceptional field theory and conjecture that our pseudo-Lagrangian and duality equations produce all exceptional field theories with maximal supersymmetry in any dimension. We also describe how the theory entails non-linear equations for higher dual fields, including the dual graviton in eleven dimensions. Furthermore, we speculate on the relation to the E10 sigma model.


2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Etienne Blanco ◽  
Andreas van Hameren ◽  
Piotr Kotko ◽  
Krzysztof Kutak

Abstract We calculate one loop scattering amplitudes for arbitrary number of positive helicity on-shell gluons and one off-shell gluon treated within the quasi-multi Regge kinematics. The result is fully gauge invariant and possesses the correct on-shell limit. Our method is based on embedding the off-shell process, together with contributions needed to retain gauge invariance, in a bigger fully on-shell process with auxiliary quark or gluon line.


1992 ◽  
Vol 07 (22) ◽  
pp. 5549-5561 ◽  
Author(s):  
KH. S. NIROV ◽  
P.N. PYATOV ◽  
A.V. RAZUMOV

For a wide class of gauge-invariant systems with open gauge algebras the Hamiltonian description is constructed and the Poisson brackets of the constraints are calculated. It is shown that in the case under consideration there arise only first class constraints.


1997 ◽  
Vol 30 (119) ◽  
pp. 420-428 ◽  
Author(s):  
Michael Kennedy

A list from September 1939 of files destroyed by the Department of External Affairs in the invasion scares of 1939–40 contains an intriguing reference to the possibility of dispatching Irish military forces to the Saarland on the Franco-German border in the winter of 1934–5. There they would serve as part of an international peacekeeping force while a plebiscite on the status of the territory was carried out under League of Nations auspices in January 1935. The context of this article is the events surrounding the creation of the peacekeeping force in December 1934.That the Irish Free State should be mentioned as a possible contributor to the international force for the Saar is an illustration of the emerging mediatory role the state was to adopt after its three-year term on the League Council concluded in September 1933. With an Irish diplomat, Sean Lester, seconded to League service as High Commissioner in Danzig from 1934, and with Irish-born Edward Phelan, Assistant Director of the International Labour Organisation, being mentioned as a possible contender for the League post of Deputy Secretary-General in 1933, and with Eamon de Valera rising in importance as an international statesman and League supporter, Ireland’s involvement in the Saar was both an illustration and a result of the state’s prominent position in the League in the early to mid-1930s.


1997 ◽  
Vol 66 (2-3) ◽  
pp. 273-300 ◽  
Author(s):  

AbstractThis article aims to throw a light on the problems relating to the proposed enlargement of the composition of the UN Security Council at present by studying the creation of four non-permanent seats in the Security Council in 1963 from the British and the French perspectives. The examination is based on the author's research of original documents in the archives of the British and French foreign ministries and upon information provided to the author by British, French and Finnish diplomats. The author concludes that, as between 1946 and 1963, British and French short term interests are still best served by maintaining the status quo in the Security Council. However, in a long term perspective it is not clear where the interests of these two States lie.


2021 ◽  
pp. 79-95
Author(s):  
A. N. Oleinik

The article discusses the status of quantitative and qualitative data in economic sciences, as well as methods for transforming data into information and knowledge. Particular attention is devoted to content analysis as a set of methods for aggregating, processing and analyzing qualitative data; its forms (qualitative, quantitative and mixed methods) and uses by economists. Content analysis appears to be particularly suitable for non-orthodox economists because of their refusal to consider price as the only source of economic information. The content analysis of metadata of articles indexed in Web of Science and eLibrary suggests that Russian economists still have insufficient familiarity with the principles of content analysis and their applications to research compared with their Western counterparts. It is argued that the creation of on-line platforms for content analysis and on-line banks of qualitative data may become a trigger for changing this situation.


Bionomina ◽  
2019 ◽  
Vol 17 (1) ◽  
pp. 1-111 ◽  
Author(s):  
ALAIN DUBOIS ◽  
AARON M. BAUER ◽  
LUIS M.P. CERÍACO ◽  
FRANÇOIS DUSOULIER ◽  
THIERRY FRÉTEY ◽  
...  

In July 2014, the international meeting “Burning questions and problems of zoological nomenclature” was held in Linz (Austria). It acknowledged the presence in the current International Code of Zoological Nomenclature of a number of severe problems, and accordingly decided the creation of a new international body, the Linz Zoocode Committee (LZC), in charge of writing the Linz Zoocode, a set of new proposals regarding the terminology, the Principles and Rules of zoological nomenclature. Here we present the first report of the activities of this Committee, covering the period 2014‒2019. It contains the presentation of our work, and the first documents adopted by the Committee: the Preamble and Principles of the Zoocode, the description of its structure and a first instalment of the Zoocode Glossary. The Zoocode regulates the status of zoological nomina and nomenclatural acts (onomatergies). Its aim is to provide an explicit, precise and objective nomenclatural system for the unambiguous and universal naming of all zoological taxa recognised by taxonomists, so that, in the frame of a given classification, the nomen of each taxon is unique and distinct. It relies on a Nomenclatural Process consisting in four main stages: nomenclatural assignment and availability, taxonomic allocation, nomenclatural validity and correctness, and registration of nomina and onomatergies. Whereas the Code currently in force is based on six stated Principles, the Zoocode recognises 17 distinct ones. We here submit these documents to the consideration of the international community of zootaxonomists, in the perspective of the incorporation of these proposals into the next version of the Code.


2020 ◽  
pp. 68-90
Author(s):  
I. Vietrynskyi

The article examines the prerequisites for the creation and early stages of development of the Commonwealth of Australia from the founding of the first European colonies prior to the legal formalization of the federation. Also mentioned are the variability of approaches to the development of Australia’s historiography, in particular from the positions of classical English and modern Australian views. Also, the early stages of the development of the continent that preceded the discovery of Australia by Europeans are considered. It analyzes the wide context of geopolitical processes in Europe in the era of imperialism (XVI-XIX centuries), as well as the circumstances of the formation of large colonial empires. In particular, features of the status, place and role of England in the international political processes of the XVIІ and XVIII centuries are shown, and the stages of the formation of the British colonial empire are also considered. The complex of internal socio-economic as well as foreign policy prerequisites for the beginning of the colonization of Australia by Great Britain is analyzed, in particular the attention paid to the consequences of the British Industrial Revolution XVIII. The stages of formation of the British colonies in Australia, as well as the development of the mainland from the establishment of the first settlement - New South Wales until full control of the continent are investigated. The characteristics of the economic, social, political, demographic and other aspects of the development of Australian colonies are analyzed. The article discusses the evolution of trade and administrative relations between individual colonies, as well as the stages of preparation for the creation of a federation, which was called the Commonwealth of Australia and changed the country's colonial position to the dominion status in the British Empire. Particular attention is paid to the international political processes that accompanied the development of the Australian continent, as well as the role of colonial administrations in regional geopolitical processes, in particular the colonization of New Guinea.


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