scholarly journals Hamiltonian formulation of higher rank symmetric gauge theories

2022 ◽  
Vol 82 (1) ◽  
Author(s):  
Rabin Banerjee
Keyword(s):  
Gauge Theories ◽  
Hamiltonian Formulation ◽  
Diffeomorphism Invariance ◽  
Lowest Landau Level ◽  
Level Problem ◽  
Higher Rank ◽  
New Form ◽  
Area Preserving ◽  
Symmetric Gauge

AbstractRecent discussions of fractons have evolved around higher rank symmetric gauge theories with emphasis on the role of Gauss constraints. This has prompted the present study where a detailed hamiltonian analysis of such theories is presented. Besides a general treatment, the traceless scalar charge theory is considered in details. A new form for the action is given which, in $$2+1$$ 2 + 1 dimensions, yields area preserving diffeomorphisms. Investigation of global symmetries reveals that this diffeomorphism invariance induces a noncommuting charge algebra that gets exactly mapped to the algebra of coordinates in the lowest Landau level problem. Connections of this charge algebra to noncommutative fluid dynamics and magnetohydrodynamics are shown.

Uniformly travelling water waves from a dynamical systems viewpoint: some insights into bifurcations from Stokes’ family

1992 ◽  
Vol 241 ◽  
pp. 333-347 ◽  
Author(s):  
C. Baesens ◽  
R. S. Mackay
Keyword(s):  
Gravity Waves ◽  
Water Waves ◽  
Travelling Waves ◽  
Hamiltonian Formulation ◽  
Inviscid Fluid ◽  
Centre Manifold ◽  
Numerical Work ◽  
Bifurcation Tree ◽  
Area Preserving

Numerical work of many people on the bifurcations of uniformly travelling water waves (two-dimensional irrotational gravity waves on inviscid fluid of infinite depth) suggests that uniformly travelling water waves have a reversible Hamiltonian formulation, where the role of time is played by horizontal position in the wave frame. In this paper such a formulation is presented. Based on this viewpoint, some insights are given into bifurcations from Stokes’ family of periodic waves. It is demonstrated numerically that there is a ‘fold point’ at amplitude A0 ≈ 0.40222. Assuming non-degeneracy of the fold and existence of an associated centre manifold, this explains why a sequence of p/q-bifurcations occurs on one side of A0, with 0 < p/q [les ] ½, in the order of the rationals. Secondly, it explains why no symmetry-breaking bifurcation is observed at A0, contrary to the expectations of some. Thirdly, it explains why the bifurcation tree for periodic uniformly travelling waves looks so much like that for the area-preserving Hénon map. Fourthly, it leads to predictions of a rich variety of spatially quasi-periodic, heteroclinic and chaotic waves.

Perception of Absence as Value-Driven Perception

2018 ◽  
Author(s):  
Anya Farennikova
Keyword(s):  
Cultural Values ◽  
Ring Finger ◽  
Cultural Knowledge ◽  
The Social ◽  
New Form

Experiences of absence are often laden with values and expectations. For example, one might notice that a job candidate is not wearing a tie, or see the absence of a wedding band on a person's ring finger. These experiences embody cultural knowledge and expectations, and therefore seem like good candidates for being a form of evaluative perception. This chapter argues that experiences of absence are evaluative apart from the social or cultural values they take on. They are evaluative in their core, solely by virtue of being experiences of absence. The chapter begins by explaining why certain experiences of absence should be treated as a case of genuine perception. It then clarifies the role of the evaluative states in experiences of absence. The chapter concludes by arguing that experiences of absence constitute a new form of evaluative perception, and presents the subjective–objective dichotomy in a new light.

scholarly journals Omega vs. pi, and 6d anomaly cancellation

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Joe Davighi ◽  
Nakarin Lohitsiri
Keyword(s):  
Gauge Theories ◽  
Necessary Conditions ◽  
Homotopy Groups ◽  
Mapping Torus ◽  
Anomaly Cancellation ◽  
Global Anomaly ◽  
Gauge Anomalies ◽  
Local Anomalies ◽  
Dimensional Mapping

Abstract In this note we review the role of homotopy groups in determining non-perturbative (henceforth ‘global’) gauge anomalies, in light of recent progress understanding global anomalies using bordism. We explain why non-vanishing of πd(G) is neither a necessary nor a sufficient condition for there being a possible global anomaly in a d-dimensional chiral gauge theory with gauge group G. To showcase the failure of sufficiency, we revisit ‘global anomalies’ that have been previously studied in 6d gauge theories with G = SU(2), SU(3), or G2. Even though π6(G) ≠ 0, the bordism groups $$ {\Omega}_7^{\mathrm{Spin}}(BG) $$ Ω 7 Spin BG vanish in all three cases, implying there are no global anomalies. In the case of G = SU(2) we carefully scrutinize the role of homotopy, and explain why any 7-dimensional mapping torus must be trivial from the bordism perspective. In all these 6d examples, the conditions previously thought to be necessary for global anomaly cancellation are in fact necessary conditions for the local anomalies to vanish.

scholarly journals Les conséquences des politiques de régulation par délégation de pouvoirs à des agences indépendantes

Federalism-E ◽  
1969 ◽  
Vol 5 (1) ◽  
Author(s):  
Olivier Grandjean
Keyword(s):  
European Union ◽  
Economic Efficiency ◽  
Market Competition ◽  
The European Union ◽  
Economic Role ◽  
Form Of Government ◽  
New Form ◽  
European Markets ◽  
The Welfare State

Regulation of European markets has changed considerably since 1980. As a result of factors such as European integration, international forces, and the decline of the welfare state, European governments have opted for other development strategies. Most notably, there has been a movement to privatize state-owned industries, as well as to develop new constitutive rules of competition that aim to ensure market competition in order to both obtain optimal economic efficiency and most efficiently allocate resources. The economic role of the European Union has thus been reinforced accordingly. Moreover, an indirect form of government in such matters has also emerged. These strategies have ultimately developed into a new form of government, which is characterized by changes in the official functions, institutions, actors and the types of policies followed on the matters.[...]

scholarly journals Architectural Education as Interface between Culture and Built Environment

2019 ◽  
Vol 2 (2) ◽  
pp. 34-51
Author(s):  
Yasira Naeem Pasha ◽  
Shahla Adnan
Keyword(s):  
Built Environment ◽  
External Factors ◽  
Architectural Education ◽  
External Influences ◽  
New Form ◽  
Relationship Of ◽  
Existing Form ◽  
The Relationship ◽  
Considerable Period

The main focus of this paper is the discussion about non-coherent appearance of built environment in Pakistan that does not reflect the culture of society, but external influences more than natives. Being a part of a larger territory in yester centuries, the country is influenced heavily by external factors and deliberated efforts for “modernization” since after a decade of independence in 1947. Many parts of the subcontinent including India and Pakistan are influenced by Modernist trends in architecture that are evident in the built environment. The probability of inclusion of many diversified attributes of culture over a considerable period of time has been increased. It is therefore important to discuss the most relevant possibilities through which these influences were adopted and then were translated in the built environment. These influences are assumed to be translated through the taught content in the architectural education in the country. The paper also discusses the relationship of three entities; Culture, Built Environment and Architectural Education. It takes into account some examples of residences from Pakistan to analyze the interfacing capacity of culture and built environment. It adopts the methodology of qualitative study through literature and evidences from some cities of Pakistan to seek the validity of argument. It also relates the role of curriculum driven architectural education in the process of built environment. The findings reveal that the existing form of culture has grasped external influences in a subtle manner adopting a new form which appears as non-coherent to the generally perceived one. The role of architectural education in this regard holds a pivotal position in relation to the built environment. The findings established also connote architectural education as the interfacing factor of culture and built environment.

scholarly journals A resource efficient approach for quantum and classical simulations of gauge theories in particle physics

Quantum ◽  
2021 ◽  
Vol 5 ◽  
pp. 393
Author(s):  
Jan F. Haase ◽  
Luca Dellantonio ◽  
Alessio Celi ◽  
Danny Paulson ◽  
Angus Kan ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Quantum Monte Carlo ◽  
Quantum Electrodynamics ◽  
Particle Physics ◽  
Gauge Theories ◽  
Hamiltonian Formulation ◽  
Mcmc Methods ◽  
Continuous Limit ◽  
Abelian Gauge ◽  
Gauge Groups

Gauge theories establish the standard model of particle physics, and lattice gauge theory (LGT) calculations employing Markov Chain Monte Carlo (MCMC) methods have been pivotal in our understanding of fundamental interactions. The present limitations of MCMC techniques may be overcome by Hamiltonian-based simulations on classical or quantum devices, which further provide the potential to address questions that lay beyond the capabilities of the current approaches. However, for continuous gauge groups, Hamiltonian-based formulations involve infinite-dimensional gauge degrees of freedom that can solely be handled by truncation. Current truncation schemes require dramatically increasing computational resources at small values of the bare couplings, where magnetic field effects become important. Such limitation precludes one from `taking the continuous limit' while working with finite resources. To overcome this limitation, we provide a resource-efficient protocol to simulate LGTs with continuous gauge groups in the Hamiltonian formulation. Our new method allows for calculations at arbitrary values of the bare coupling and lattice spacing. The approach consists of the combination of a Hilbert space truncation with a regularization of the gauge group, which permits an efficient description of the magnetically-dominated regime. We focus here on Abelian gauge theories and use 2+1 dimensional quantum electrodynamics as a benchmark example to demonstrate this efficient framework to achieve the continuum limit in LGTs. This possibility is a key requirement to make quantitative predictions at the field theory level and offers the long-term perspective to utilise quantum simulations to compute physically meaningful quantities in regimes that are precluded to quantum Monte Carlo.

scholarly journals Personal networking function of the Internet

Sociologija ◽  
2009 ◽  
Vol 51 (1) ◽  
pp. 23-44 ◽  
Author(s):  
Dalibor Petrovic
Keyword(s):  
Social Studies ◽  
Social Role ◽  
Modern Society ◽  
Interpersonal Interaction ◽  
The Internet ◽  
History Of ◽  
Important Means ◽  
New Form ◽  
Networked Individualism

The aim of the paper is to understand the role of Internet in creating new forms of sociability in the modern society. In the first part the history of social studies of Internet is reviewed, and the conclusion put forward that the anti-social role of the Internet cannot be proved. In the theoretical part of the paper the author presents his idea of two basic roles of Internet as interpersonal interaction tool: transmissional and procreative. These two Internet functions are very important means for reproducing a new form of sociability known as networked individualism.

scholarly journals Bringing the German Pavilion Back Home

2021 ◽  
Author(s):  
◽  
Jessica Wright
Keyword(s):  
Projective Geometry ◽  
Principal Part ◽  
Linear Perspective ◽  
Two Dimensional ◽  
Dimensional Representation ◽  
New Form

<p>This research investigates a correspondence between the architectural representational tool of drawing, and the translations of these into something recognised as ‘built’. It is fundamentally concerned around representation in architecture driven by the principles that our entire engagement with architecture is via representation. Architects do not produce buildings but produce images of buildings, and the role of two-dimensional representation plays a principal part in architecture. Architecture is always representational, and the more we engage with representation the more we might push the envelope with what we understand architecture to be.   This thesis aims to establish within the contemporary discipline, what we understand about the responsibility of linear perspective as a representational tool. By understanding what lies behind the canon of perspective in architecture, this thesis questions whether the representation of conventional architecture could benefit from a new way of drawing linear perspective?   The discovery of perspective during the Renaissance has influenced not only our way of representing architecture but also how we view, and therefore design it. It has become integrated with our understanding of architecture at an unconscious level. Architects no longer need control of projective geometry, and due to this cannot be critical of the system of representation or control its limits. This leads to mediate a shift in perspective, with the intention to generate a representation of new form.   The motivation for this thesis was that from linear perspective, as it has done so for centuries, we can produce evocative and meaningful vocabularies that attempt to enrich architecture.</p>

User Acceptance of Location-Based Mobile Advertising

2012 ◽  
pp. 59-71 ◽  
Author(s):  
Kiyana Zolfaghar ◽  
Farid Khoshalhan ◽  
Mohammad Rabiei
Keyword(s):  
Technology Acceptance ◽  
Mobile Networks ◽  
User Acceptance ◽  
Key Factors ◽  
Effort Expectancy ◽  
New Form ◽  
And Control ◽  
Potential Customers ◽  
Tracking Technology

Location-based advertising (LBA) opens up new frontiers for marketers to place their advertisements in front of consumers. LBA is a new form of marketing communication that uses location-tracking technology in mobile networks to target consumers with location-specific advertising on their cell phones. It provides more targeted communication and interaction between the marketer and its potential customers. This paper reviews different aspects of LBA advertising and investigates the drivers of consumer acceptance toward it. Achieving this, a research framework is developed to explore the factors influencing consumer intention for using LBA in Iran. Individuals’ responses to questions about intention to accept/use of LBA advertising were collected and analyzed with various factors modified from UTAUT with main constructs of utility expectancy, trust, effort expectancy, and control. While the model confirms the classical role of utility expectancy and effort expectancy as the key factors in technology acceptance, the results also show that users’ behavioral intentions are influenced by trust and their control on ads flow.

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