Energy and the AdS/CFT correspondence

We consider a scalar field theory on AdS in both minimally and non-minimally coupled cases. We show that there exist constraints which arise in the quantization of the scalar field theory on AdS which cannot be reproduced through the usual AdS/CFT prescription. We argue that the usual energy, defined through the stress-energy tensor, is not the natural one to be considered in the context of the AdS/CFT correspondence. We analyze a new definition of the energy which makes use of the Noether current corresponding to time displacements in global coordinates. We compute the new energy for Dirichlet, Neumann and mixed boundary conditions on the scalar field and for both the minimally and non-minimally coupled cases. Then, we perform the quantization of the scalar field theory on AdS showing that, for 'regular' and 'irregular' modes, the new energy is conserved, positive and finite. We show that the quantization gives rise, in a natural way, to a generalized AdS/CFT prescription which maps to the boundary all the information contained in the bulk. In particular, we show that the divergent local terms of the on-shell action contain information about the Legendre transformed generating functional, and that the new constraints for which the irregular modes propagate in the bulk are the same constraints for which such divergent local terms cancel out. In this situation, the addition of counterterms is not required. We also show that there exist particular cases for which the unitarity bound is reached, and the conformai dimension becomes independent of the effective mass. This phenomenon has no bulk counterpart.

On the role of boundary terms in the AdS/CFT correspondence

We consider a scalar field theory on AdS, and show that the usual AdS/CFT prescription is unable to map to the boundary a part of the information arising from the quantization in the bulk. We propose a solution to this problem by defining the energy of the theory in the bulk through the Noether current corresponding to time displacements, and, in addition, by introducing a proper generalized AdS/CFT prescription. We also show how this extended formulation could be used to consistently describe double-trace interactions in the boundary. The formalism is illustrated by focusing on the non-minimally coupled case using Dirichlet boundary conditions. © 2004 Published by Elsevier B.V.

Correspondence of the auricular acupoint with the upper trapezius muscle: A electromyographic study

Presently, acupuncture is a technique considered to be capable of stimulating the regulatory systems of the organism, such as the central nervous system, the endocrine system and the immunological system. The median frequency of the upper trapezium muscle with 40% and 60% of maximal voluntary contraction (MVC) of 15 healthy volunteers, was analyzed after the individuals were submitted to the AA treatment. The non-parametric Friedman test was used to compare median frequency values. In this exploratory study, the level of significance of each comparison was set to p < 0.05. The intraclass analyses indicate a significant increase of the median frequency muscle at 60% of the MVC (Wicoxon test). Based on the results found, the AA peripheral stimulus can act as a modulator mechanism of muscle activity and was possible to verify correspondence of the auricular acupoint with the trapezius muscle. © 2009 Elsevier Ltd. All rights reserved.

Correspondence between the self-dual model and the topologically massive electrodynamics: A new view

Following the study of the Topologically Massive Theories under the Hamilton-Jacobi, we now analyze the constraint structure of the Self-Dual model as well as its correspondence with the Topologically Massive Electrodynamics. © 2013 American Institute of Physics.

Qualidade de mangas cv. palmer após armazenamento sob baixas temperaturas

This study aimed to evaluate the quality of 'Palmer' mangoes previously stored at low temperatures, after their transference to the environmental condition. Fruits harvested at physiological maturity were carefully transported to the Laboratory where they were selected, standardized as the color, size and absence of injuries and treated with fungicide before they were stored at 2°C (75.7% RH), 5°C (73.8% RH) e 12°C (82% RH) for 7, 14 and 21 days. At the end of each period, the fruits were transferred to environmental condition (22.9°C; 62.3% RH), where they were kept for 1, 3, 5 and 7 days, simulating the trading period, and evaluated for the occurrence of injuries and rottenness; peel and pulp color; firmness; contents of soluble solids, titratable acidity and ascorbic acid, as well as, the activities of the enzymes peroxidase, polyphenoloxidase and phenylalanine ammonia-lyase. The results indicated that 'Palmer' mangoes can be stored at 12°C for 21 days without damage to ripening, but with limitations due to the occurrence of decay. The storage at 2°C and 5°C was limited by the occurrence of injuries in the peel, but at the temperature of 2°C these symptoms were more severe and compromised the development of the characteristic color of the peel. However, the ripening of the pulp was not harmed, but this process occurred with less intensity than in mangoes maintained at 12°C.

Efeito residual do calcário no solo, no estado nutricional e na produtividade da mangueira cv. Palmer

Pós-graduação em Agronomia (Ciência do Solo) - FCAV

Curva de crescimento e exportação de nutrientes e sódio por frutos de mangueira Palmer, Haden e Tommy Atkins

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Desidratação osmótica da manga cv. Palmer em solução de sacarose com e sem adição de ácido ascórbico

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Tratamento térmico, radiação ultravioleta (UV-C), quitosana e cera na prevenção de injúrias pelo frio em mangas ‘Tommy Atkins’ e ‘Palmer’

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Correspondence between the one-loop three-point vertex and the Y and Delta electric resistor networks

Different mathematical methods have been applied to obtain the analytic result for the massless triangle Feynman diagram yielding a sum of four linearly independent (LI) hypergeometric functions of two variables F-4. This result is not physically acceptable when it is embedded in higher loops, because all four hypergeometric functions in the triangle result have the same region of convergence and further integration means going outside those regions of convergence. We could go outside those regions by using the well-known analytic continuation formulas obeyed by the F-4, but there are at least two ways we can do this. Which is the correct one? Whichever continuation one uses, it reduces a number of F-4 from four to three. This reduction in the number of hypergeometric functions can be understood by taking into account the fundamental physical constraint imposed by the conservation of momenta flowing along the three legs of the diagram. With this, the number of overall LI functions that enter the most general solution must reduce accordingly. It remains to determine which set of three LI solutions needs to be taken. To determine the exact structure and content of the analytic solution for the three-point function that can be embedded in higher loops, we use the analogy that exists between Feynman diagrams and electric circuit networks, in which the electric current flowing in the network plays the role of the momentum flowing in the lines of a Feynman diagram. This analogy is employed to define exactly which three out of the four hypergeometric functions are relevant to the analytic solution for the Feynman diagram. The analogy is built based on the equivalence between electric resistance circuit networks of types Y and Delta in which flows a conserved current. The equivalence is established via the theorem of minimum energy dissipation within circuits having these structures.

Genealogia de uma operação historiográfica: as apropriações dos pensamentos de Edward Palmer Thompson e de Michel Foucault pelos historiadores brasileiros na década de 1980

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Particle-vortex and Maxwell duality in the AdS(4) x CP3/ABJM correspondence

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

The boson-fermion correspondence from linear ODEs

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Quantum-classical correspondence and the role of the dipole function in molecular dissociation

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)