q-deformed fuzzy Ginsparg–Wilson algebra and its q-deformed Dirac and chirality operators on quantum fuzzy two-sphere

2020 ◽  
Vol 17 (10) ◽  
pp. 2050154
Author(s):  
M. Lotfizadeh ◽  
Ebrahim Nouri Asl
Keyword(s):  
Fuzzy Sphere ◽  
Limit Case ◽  
Noncommutative Parameter

We construct the [Formula: see text]-deformed fuzzy Dirac and chirality operators on quantum fuzzy Podles sphere [Formula: see text]. We will show that there are a class of these operators on [Formula: see text] in which all of them in the limit case [Formula: see text] has the correct fuzzy sphere limit as well as they have correct commutative limit in the limit case when [Formula: see text] and noncommutative parameter [Formula: see text] tends to infinity.

Gauged Dirac operator on the quantum sphere in instanton sector

2020 ◽  
Vol 35 (08) ◽  
pp. 2050048
Author(s):  
M. Lotfizadeh
Keyword(s):  
Dirac Operator ◽  
Fuzzy Sphere ◽  
Limit Case ◽  
Quantum Sphere ◽  
Noncommutative Parameter

In this paper, we construct the [Formula: see text]-deformed fuzzy Dirac and chirality operators on quantum fuzzy Podles sphere [Formula: see text]. Using the [Formula: see text]-deformed fuzzy Ginsparg–Wilson algebra, we study the [Formula: see text]-deformed gauged fuzzy Dirac and chirality operators in instanton sector. We will show the correct fuzzy sphere limit in the limit case [Formula: see text] and the correct commutative limit in the limit case when [Formula: see text] and noncommutative parameter [Formula: see text] tends to infinity.

scholarly journals NONCOMMUTATIVE QUANTUM MECHANICS: THE TWO-DIMENSIONAL CENTRAL FIELD

2002 ◽  
Vol 17 (19) ◽  
pp. 2555-2565 ◽  
Author(s):  
J. GAMBOA ◽  
F. MÉNDEZ ◽  
M. LOEWE ◽  
J. C. ROJAS
Keyword(s):  
Quantum Mechanics ◽  
Central Field ◽  
Two Dimensional ◽  
Limit Case ◽  
Polynomial Type ◽  
Noncommutative Quantum Mechanics ◽  
The Green Function ◽  
Noncommutative Plane ◽  
Noncommutative Quantum ◽  
Noncommutative Parameter

Quantum mechanics in a noncommutative plane is considered. For a general two-dimensional central field, we find that the theory can be perturbatively solved for large values of the noncommutative parameter (θ) and explicit expressions for the eigenstates and eigenvalues are given. The Green function is explicitly obtained and we show that it can be expressed as an infinite series. For polynomial type potentials, we found a smooth limit for small values of θ and for nonpolynomial ones this limit is necessarily abrupt. The Landau problem, as a limit case of a noncommutative system, is also considered.

Super Ginsparg–Wilson algebra and Dirac operator on the super fuzzy Euclidean hyperboloid EAdSF(2|2)

2020 ◽  
Vol 35 (31) ◽  
pp. 2050196
Author(s):  
M. Lotfizadeh
Keyword(s):  
Dirac Operator ◽  
Gauge Fields ◽  
Hopf Fibration ◽  
Limit Case ◽  
Noncommutative Parameter

In this paper, we construct super fuzzy Dirac and chirality operators on the super fuzzy Euclidean hyperboloid [Formula: see text] in-instanton and no-instanton sectors. Using the super pseudo-projectors of the noncompact first Hopf fibration, we construct the Ginsparg–Wilson algebra in instanton and no-instanton sectors. Then, using the generators of this algebra, we construct pseudo super-Dirac and chirality operators in both sectors. We also construct pseudo super-Dirac and chirality operators corresponding to the case in which our theory includes gauge fields. We show that they have correct commutative limit in the limit case when the noncommutative parameter [Formula: see text] tends to infinity.

Fuzzy conifold YF6 and Dirac operator of principal fibration XF5 → SF2 × SF2

2020 ◽  
Vol 35 (18) ◽  
pp. 2050088
Author(s):  
M. Lotfizadeh
Keyword(s):  
Dirac Operator ◽  
Limit Case ◽  
Base Manifold ◽  
Noncommutative Parameter

It has been constructed the fuzzy Dirac and chirality operators on fuzzy [Formula: see text] which is the base manifold of the principal fibration [Formula: see text]. Using the fuzzy Ginsparg–Wilson algebra, it has been studied the gauged fuzzy Dirac and chirality operators in instanton sector. It has been shown that they have correct commutative limit in the limit case when noncommutative parameter [Formula: see text] tends to infinity.

Loving the Other Beyond Death

2018 ◽  
Vol 40 (2) ◽  
pp. 147-155
Author(s):  
Kas Saghafi
Keyword(s):  
The Other ◽  
Limit Case ◽  
Western Tradition

Turning to an example provided by Aristotle and taken up by Derrida in Politics of Friendship, which functions as a limit case—loving the other beyond death—I argue that Derrida's short-lived term, aimance, gently and lovingly contests the primacy given either to love or to friendship in the Western tradition, but also to the living act of loving and the figure of the lover, putting pressure on the very conceptual differences between these terms.

World Literature, the opaque archive, and the untranslatable: J. M. Coetzee and some others

2021 ◽  
pp. 002198942098874
Author(s):  
Andrew van der Vlies
Keyword(s):  
South African ◽  
Nobel Prize ◽  
Cultural Production ◽  
World Literature ◽  
Virtual Space ◽  
Limit Case ◽  
Global Community ◽  
Theoretical Orientations ◽  
Disciplinary Field

A key concern of recent theoretical orientations in the development of “World Literature” as a discipline has been the question of accessibility to literatures in minor languages, which is to say of literal and metaphorical translatability, even transparency. This essay explores the challenge posed by the occlusion of the possible intertextual influence of works in such languages that are evident only as a trace in texts that now seem indisputably part of a canon of World Literature. What happens when the engagement of writers in this canon with cultural production in languages adjacent to those in which they themselves principally operate is not evident to an increasingly global community of scholars, and perhaps not even evidenced in an author’s archive (whether this is understood to be a material collection or indeed a virtual space conceptualized as the literary ecosystem in which an author has developed)? This essay addresses these questions with reference to the work of South African-born Nobel Prize-winning writer J. M. Coetzee, and to the problem posed by some of his work’s (and his archive’s) others, here specifically Afrikaners and the work of Afrikaans-language writers. This consideration has implications not only for the current shape of Coetzee studies, but for that of World Literature more broadly, presenting something of a limit-case for the translation metaphor that directs some of its formulations as disciplinary field.

scholarly journals NONCOMMUTATIVE GRAPHENE

2013 ◽  
Vol 28 (16) ◽  
pp. 1350064 ◽  
Author(s):  
CATARINA BASTOS ◽  
ORFEU BERTOLAMI ◽  
NUNO COSTA DIAS ◽  
JOÃO NUNO PRATA
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Dirac Equation ◽  
Energy Levels ◽  
Dirac Fermions ◽  
Two Dimensional ◽  
Dirac System ◽  
Noncommutative Parameter

We consider a noncommutative description of graphene. This description consists of a Dirac equation for massless Dirac fermions plus noncommutative corrections, which are treated in the presence of an external magnetic field. We argue that, being a two-dimensional Dirac system, graphene is particularly interesting to test noncommutativity. We find that momentum noncommutativity affects the energy levels of graphene and we obtain a bound for the momentum noncommutative parameter.

The Role of Solid Springer in Masonry Vault

2010 ◽  
Vol 133-134 ◽  
pp. 349-354 ◽  
Author(s):  
Vittorio Ceradini ◽  
Michele Candela ◽  
Roberta Fonti
Keyword(s):  
Scientific Research ◽  
Evolution Process ◽  
Limit Case ◽  
Structural Configuration ◽  
Structural Role ◽  
Different Ages ◽  
Building Component ◽  
And Function ◽  
Technical Rules

During a scientific research, directed to understand the structural role of some particular masonry elements, noticeable in covering structures like vault and dome, we searched the technical rules and function of these elements. We verified that in literature there is no specific documentation about these elements and its mechanic purposes. The study was directed to recognize the most representatives architectures in different ages, and to identify the construction technique’s evolution process of this particular arc-double or thickening of arc that we arrived to identify as a necessary building component to give balance in particular structural configuration. This process put down roots from the roman ancient age, until baroque age, where the most original applications of this regulation were placed. From Pantheon to the limit case of St. Filippo Neri chapel, the covers’ structures springer angle studied was analyzed together with its relation to plan, sections and elevation of all buildings. Therefore, if these elements are well-performed, they follow precise constructive patterns that this article would like to identify and show.

Local boundedness of minimizers in a limit case

1990 ◽  
Vol 69 (1) ◽  
pp. 19-25 ◽  
Author(s):  
Nicola Fusco ◽  
Carlo Sbordone
Keyword(s):  
Limit Case ◽  
Local Boundedness

scholarly journals Transient Excitation of an Elastic Half Space by a Point Load Traveling on the Surface

1969 ◽  
Vol 36 (3) ◽  
pp. 505-515 ◽  
Author(s):  
D. C. Gakenheimer ◽  
J. Miklowitz
Keyword(s):  
Exact Solution ◽  
Free Surface ◽  
Steady State ◽  
Wave Front ◽  
Half Space ◽  
Displacement Field ◽  
Elastic Half Space ◽  
Point Load ◽  
Limit Case ◽  
Transient Waves

The propagation of transient waves in a homogeneous, isotropic, linearly elastic half space excited by a traveling normal point load is investigated. The load is suddenly applied and then it moves rectilinearly at a constant speed along the free surface. The displacements are derived for the interior of the half space and for all load speeds. Wave-front expansions are obtained from the exact solution, in addition to results pertaining to the steady-state displacement field. The limit case of zero load speed is considered, yielding new results for Lamb’s point load problem.

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