scholarly journals Novel sum rules for the three-point sector of QCD

Author(s):  
A. C. Aguilar ◽  
M. N. Ferreira ◽  
J. Papavassiliou

AbstractFor special kinematic configurations involving a single momentum scale, certain standard relations, originating from the Slavnov-Taylor identities of the theory, may be interpreted as ordinary differential equations for the “kinetic term” of the gluon propagator. The exact solutions of these equations exhibit poles at the origin, which are incompatible with the physical answer, known to diverge only logarithmically; their elimination hinges on the validity of two integral conditions that we denominate “asymmetric” and “symmetric” sum rules, depending on the kinematics employed in their derivation. The corresponding integrands contain components of the three-gluon vertex and the ghost-gluon kernel, whose dynamics are constrained when the sum rules are imposed. For the numerical treatment we single out the asymmetric sum rule, given that its support stems predominantly from low and intermediate energy regimes of the defining integral, which are physically more interesting. Adopting a combined approach based on Schwinger–Dyson equations and lattice simulations, we demonstrate how the sum rule clearly favors the suppression of an effective form factor entering in the definition of its kernel. The results of the present work offer an additional vantage point into the rich and complex structure of the three-point sector of QCD.

2021 ◽  
Vol 9 (1) ◽  
Author(s):  
Sarah Spencer ◽  
Katharine Charsley

AbstractEmpirical and theoretical insights from the rich body of research on ‘integration’ in migration studies have led to increasing recognition of its complexity. Among European scholars, however, there remains no consensus on how integration should be defined nor what the processes entail. Integration has, moreover, been the subject of powerful academic critiques, some decrying any further use of the concept. In this paper we argue that it is both necessary and possible to address each of the five core critiques on which recent criticism has focused: normativity; negative objectification of migrants as ‘other’; outdated imaginary of society; methodological nationalism; and a narrow focus on migrants in the factors shaping integration processes. We provide a definition of integration, and a revised heuristic model of integration processes and the ‘effectors’ that have been shown to shape them, as a contribution to a constructive debate on the ways in which these challenges for empirical research can be overcome.


2020 ◽  
Vol 37 (1) ◽  
pp. 138-158
Author(s):  
James A. Harris

AbstractMy point of departure in this essay is Smith’s definition of government. “Civil government,” he writes, “so far as it is instituted for the security of property, is in reality instituted for the defence of the rich against the poor, or of those who have some property against those who have none at all.” First I unpack Smith’s definition of government as the protection of the rich against the poor. I argue that, on Smith’s view, this is always part of what government is for. I then turn to the question of what, according to Smith, our governors can do to protect the wealth of the rich from the resentment of the poor. I consider, and reject, the idea that Smith might conceive of education as a means of alleviating the resentment of the poor at their poverty. I then describe how, in his lectures on jurisprudence, Smith refines and develops Hume’s taxonomy of the opinions upon which all government rests. The sense of allegiance to government, according to Smith, is shaped by instinctive deference to natural forms of authority as well as by rational, Whiggish considerations of utility. I argue that it is the principle of authority that provides the feelings of loyalty upon which government chiefly rests. It follows, I suggest, that to the extent that Smith looked to government to protect the property of the rich against the poor, and thereby to maintain the peace and stability of society at large, he cannot have sought to lessen the hold on ordinary people of natural sentiments of deference. In addition, I consider the implications of Smith’s theory of government for the question of his general attitude toward poverty. I argue against the view that Smith has recognizably “liberal,” progressive views of how the poor should be treated. Instead, I locate Smith in the political culture of the Whiggism of his day.


2014 ◽  
Vol 532 ◽  
pp. 113-117
Author(s):  
Zhou Jin ◽  
Ru Jing Wang ◽  
Jie Zhang

The rotating machineries in a factory usually have the characteristics of complex structure and highly automated logic, which generated a large amounts of monitoring data. It is an infeasible task for uses to deal with the massive data and locate fault timely. In this paper, we explore the causality between symptom and fault in the context of fault diagnosis in rotating machinery. We introduce data mining into fault diagnosis and provide a formal definition of causal diagnosis rule based on statistic test. A general framework for diagnosis rule discovery based on causality is provided and a simple implementation is explored with the purpose of providing some enlightenment to the application of causality discovery in fault diagnosis of rotating machinery.


1996 ◽  
Vol 11 (20) ◽  
pp. 1611-1626 ◽  
Author(s):  
A.P. BAKULEV ◽  
S.V. MIKHAILOV

In a recent paper1 we have proposed a new approach for extracting the wave function of the π-meson φπ(x) and the masses and wave functions of its first resonances from the new QCD sum rules for nondiagonal correlators obtained in Ref. 2. Here, we test our approach using an exactly solvable toy model as illustration. We demonstrate the validity of the method and suggest a pure algebraic procedure for extracting the masses and wave functions relating to the case under investigation. We also explore the stability of the procedure under perturbations of the theoretical part of the sum rule. In application to the pion case, this results not only in the mass and wave function of the first resonance (π′), but also in the estimation of π″-mass.


2018 ◽  
Vol 20 (12) ◽  
pp. 8166-8176 ◽  
Author(s):  
Hongxin Wang ◽  
Stephan Friedrich ◽  
Lei Li ◽  
Ziliang Mao ◽  
Pinghua Ge ◽  
...  

According to L-edge sum rules, the number of 3d vacancies at a transition metal site is directly proportional to the integrated intensity of the L-edge X-ray absorption spectrum (XAS) for the corresponding metal complex.


1989 ◽  
Vol 04 (09) ◽  
pp. 877-883 ◽  
Author(s):  
LING-LIE CHAU ◽  
HAI-YANG CHENG

Exclusive two-body decay amplitudes of charmed mesons evaluated by Blok and Shifman (BS) using QCD sum rules are analyzed using the model-independent quark-diagram scheme, which helps to pin point the generic structure of the BS calculations, and their difficulties when compared with the experimental data. We also point out what experimental improvements on the data and which new data are most helpful in sharpening these comparisons. Some comments on possible ways of further improving the theoretical calculations are given.


2002 ◽  
Vol 2 (1) ◽  
pp. 149-186 ◽  
Author(s):  
Irene Philippaki-Warburton ◽  
Vassilios Spyropoulos

In the present study we examine the notion ‘subject’ in finite clauses in Greek, a null-subject language, and we investigate the connection between the rich morphological marking of subject-agreement on the verb and the definition of this notion. We propose that ‘subject’ in Greek should be analysed as a discontinuous element which consists of a null nominal element in the SpecTP position satisfying the Extended Projection Principle (EPP), associated with a pro at the relevant theta-position inside the VP. We argue that this analysis has not only the theoretical advantage of maintaining the universally strong value of EPP, but also, perhaps more importantly, the descriptive advantage of providing a satisfactory explanation for a number of apparent idiosyncrasies of Greek constructions.


Author(s):  
MARINA NIELSEN

Many new states in the charmonium mass region were recently discovered by the BaBar, Belle and CDF Collaborations. We use the QCD Sum Rule approach to study the possible structure of some of these states.


Author(s):  
Vera Boneva

The article systematizes information about the current cultural heritage programs in the Bulgarian higher education area. The data shows that in eleven Bulgarian universities a diploma of cultural heritage can be obtained. 17 master's and 3 bachelor's programs prepare over 500 students a year. Two doctoral programs are also accredited. The rich variety of curricula is an objective result of the complex structure of cultural heritage in itself. However, it is also an indicator for the fragmentation of the higher education system in Bulgaria. The conclusion proposes approaches to overcoming the mentioned fragmentation, as the interdisciplinarity of the scientific field requires pooling of competencies and efforts for better results.


2021 ◽  
pp. 186-207
Author(s):  
Alexey I. Popovich ◽  

The literary topoi and allusions to the victim and sacrifice in the biblical and historical context at the same time played a great role for Andrey Kurbsky as a traditionalist and innovator writer in the embodiment of the complex author’s intention of the History of the Grand Prince of Moscow (the second half of the 16th century). The article notes that the writer distinguishes, as opposites, the axiology of sacrificial feat for power doer and persecuted heroes. The article reveals the diverse reception of the author’s interpretation by readers and scribes of History. Kurbsky’s contemporaries and readers of the late 17th — early 18th century had different attitudes toward Kurbsky’s definition of the personality of Ivan the Terrible who makes unrighteous victims and the characterization of people affected by him as new martyrs. The rich handwritten tradition of History, including as part of the Kurbsky Collections, contributed to the emergence of new reader’s interpretations based on literary topoi and allusions used by Kurbsky. The intellectuals of the ‘transitional’ period A.S. Matveev, Evfimy Chudovsky, A.I. Lyzlov, V.V. Golitsyn and others were involved in this process. Textological and typological comparisons of certain monuments and Kurbsky’s History contributed to a deeper understanding of the literary context of the time when the prince’s writings spread. The study also helped to determine which Kurbsky’s ideas about the victim and sacrifice remained relevant for members of different class groups, and which were leveled out and outdated in the text interpretation process.


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