scholarly journals Simple prescription for computing the nonrelativistic interparticle potential energy related to dual models

2016 ◽  
Vol 31 (12) ◽  
pp. 1650070 ◽  
Author(s):  
G. B. de Gracia ◽  
G. P. de Brito
Keyword(s):  
Vector Field ◽  
Potential Energy ◽  
Nonrelativistic Limit ◽  
External Current ◽  
Interparticle Potential ◽  
Higher Derivative ◽  
Higher Derivatives ◽  
Rank 2 ◽  
Electromagnetic Models ◽  
Dual Models

Following a procedure recently utilized by Accioly et al. to obtain the D-dimensional interparticle potential energy for electromagnetic models in the nonrelativistic limit, and relaxing the condition assumed by the authors concerning the conservation of the external current, the prescription found out by them is generalized so that dual models can also be contemplated. Specific models in which the interaction is mediated by a spin-0 particle described first by a vector field and then by a higher-derivative vector field, are analyzed. Systems mediated by spin-1 particles described, respectively, by symmetric rank-2 tensors, symmetric rank-2 tensors augmented by higher derivatives and antisymmetric rank-2 tensors, are considered as well.

scholarly journals Interparticle potential energy forD-dimensional electromagnetic models from the corresponding scalar ones

2016 ◽  
Vol 93 (10) ◽  
Author(s):  
Antonio Accioly ◽  
José Helayël-Neto ◽  
Gilson Correia ◽  
Gustavo Brito ◽  
José de Almeida ◽  
...  
Keyword(s):  
Potential Energy ◽  
Interparticle Potential ◽  
Electromagnetic Models

Straightforward prescription for computing the interparticle potential energy related toD-dimensional electromagnetic models

2014 ◽  
Vol 90 (10) ◽  
Author(s):  
Antonio Accioly ◽  
José Helayël-Neto ◽  
F. E. Barone ◽  
F. A. Barone ◽  
Patricio Gaete
Keyword(s):  
Potential Energy ◽  
Interparticle Potential ◽  
Electromagnetic Models

scholarly journals Higher derivatives driven symmetry breaking in holographic superconductors

2020 ◽  
Vol 80 (2) ◽  
Author(s):  
Hai-Li Li ◽  
Guoyang Fu ◽  
Yan Liu ◽  
Jian-Pin Wu ◽  
Xin Zhang
Keyword(s):  
High Temperature Superconductor ◽  
Energy Gap ◽  
Coupling Term ◽  
Holographic Superconductor ◽  
Complex Scalar ◽  
Holographic Superconductors ◽  
Higher Derivative ◽  
Superconducting Energy Gap ◽  
Higher Derivatives ◽  
Complex Scalar Field

Abstract In this paper, we construct a novel holographic superconductor from higher derivative (HD) gravity involving a coupling between the complex scalar field and the Weyl tensor. This HD coupling term provides a near horizon effective mass squared, which can violates IR Breitenlohner–Freedman (BF) bound by tuning the HD coupling and induces the instability of black brane such that the superconducting phase transition happens. We also study the properties of the condensation and the conductivity in the probe limit. We find that a wider extension of the superconducting energy gap ranging from 4.6 to 10.5 may provide a novel platform to model and interpret the phenomena in the real materials of high temperature superconductor.

scholarly journals Cosmological implications of quantum corrections and higher-derivative extension

2015 ◽  
Vol 30 (03n04) ◽  
pp. 1540008 ◽  
Author(s):  
Diego Chialva ◽  
Anupam Mazumdar
Keyword(s):  
Nonlocal Theory ◽  
High Energy ◽  
Effective Theory ◽  
Quantum Corrections ◽  
Derivative Expansion ◽  
Higher Derivative ◽  
Higher Derivatives ◽  
Single Field ◽  
Field Formalism ◽  
Early Universe Cosmology

We discuss the challenges for the early universe cosmology from quantum corrections, and in particular higher-derivative terms, in the gravitational and inflaton sectors of the models. The work is divided in two parts. In the first one we review the already well-known issues due to quantum corrections to the inflaton potential, in particular focusing on chaotic/slow-roll single-field models. We will point out some issues concerning the proposed mechanisms to cope with the corrections, and also argue how the presence of higher-derivative corrections could be problematic for those mechanisms. In the second part we will more directly focus on higher-derivative corrections. We will show how, in order to discuss a number of high-energy phenomena relevant to inflation (such as its actual onset) one has to deal with energy scales where the derivative expansion breaks down, presenting problems such as quantum vacuum instability and ghosts. To discuss such phenomena in the convenient framework of the effective theory, one must then abandon the derivative expansion and resort to the full nonlocal formulation of the theory, which is in fact equivalent to re-integrating back the relevant physics, but with the benefit of using a more compact single-field formalism. Finally, we will briefly discuss possible advantages offered by the presence of higher derivatives and a nonlocal theory to build better controlled UV models of inflation.

scholarly journals Adsorption of Comb Macromolecule on Fused Silica Particles and the Calculation of Interparticle Potential Energy

1997 ◽  
Vol 105 (1227) ◽  
pp. 1007-1011 ◽  
Author(s):  
Yoshimasa WASEDA ◽  
Etuo SAKAI ◽  
Susumu HONDA ◽  
Akinori ITOH ◽  
Masaki DAIMON
Keyword(s):  
Potential Energy ◽  
Silica Particles ◽  
Fused Silica ◽  
Interparticle Potential

scholarly journals HIGHER DIMENSIONAL OPERATORS AND THEIR EFFECTS IN (NON)SUPERSYMMETRIC MODELS

2008 ◽  
Vol 23 (10) ◽  
pp. 711-720 ◽  
Author(s):  
D. M. GHILENCEA
Keyword(s):  
Euclidean Space ◽  
Minkowski Space ◽  
Space Time ◽  
Analytical Continuation ◽  
Power Counting ◽  
Higher Derivative ◽  
Minkowski Space Time ◽  
Higher Dimensional ◽  
Supersymmetric Models ◽  
Higher Derivatives

It is shown that a 4D N = 1 softly broken supersymmetric theory with higher derivative operators in the Kahler or the superpotential part of the Lagrangian and with an otherwise arbitrary superpotential, can be re-formulated as a theory without higher derivatives but with additional (ghost) superfields and modified interactions. The importance of the analytical continuation Minkowski–Euclidean space–time for the UV behaviour of such theories is discussed in detail. In particular it is shown that power counting for divergences in Minkowski space–time does not always work in models with higher dimensional (derivative) operators.

Particle–antiparticle potential in scalar quantum field theory with a Higgs-like mediating field

2013 ◽  
Vol 91 (10) ◽  
pp. 764-769 ◽  
Author(s):  
Alexander Chigodaev ◽  
Jurij W. Darewych
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Hamiltonian Formalism ◽  
Nonrelativistic Limit ◽  
Single Pair ◽  
Quantum Field ◽  
Short Range Potential ◽  
Interparticle Potential ◽  
Scalar Quantum ◽  
The One

We study the particle–antiparticle force in a model scalar quantum field theory (QFT) with a nonlinear Higgs-like mediating field. We use the variational method in a reformulated Hamiltonian formalism of the theory. The trial state consists of a superposition of single-pair and two-pair Fock states. Coupled relativistic integral equations for the one- and two-pair channel functions are derived and their nonrelativistic limit forms are obtained. Variational ansatz are used to derive the correction to the dominant Yukawa interparticle potential for the particle–antiparticle system. The correction is found to be an attractive short-range potential.

scholarly journals THE LEE-WICK STANDARD MODEL

2010 ◽  
Vol 25 (02n03) ◽  
pp. 587-596 ◽  
Author(s):  
MARK B. WISE
Keyword(s):  
Higgs Boson ◽  
Standard Model ◽  
Recent Work ◽  
Boson Mass ◽  
Higgs Boson Mass ◽  
Negative Norm ◽  
Higher Derivative ◽  
The Standard Model ◽  
Higher Derivatives

This article reviews some recent work on a version of the standard model (the Lee-Wick standard model) that contains higher derivative kinetic terms that improve the convergence of loop diagrams removing the quadratic divergence in the Higgs boson mass. Naively higher derivative theories of this type are not acceptable since the higher derivative terms either cause instabilities (from negative energies) or a loss of unitarity (from negative norm states). Lee and Wick provided an interpretation for such theories arguing that theories with higher derivative kinetic terms can be unitary and stable if the states associated with the massive propagator poles, that arise from the higher derivatives, have widths and hence decay and are not in the spectrum of the theory.

scholarly journals Generalized dualities and higher derivatives

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Tomas Codina ◽  
Diego Marqués
Keyword(s):  
Field Theory ◽  
Heterotic Strings ◽  
First Order ◽  
Higher Derivative ◽  
Double Field Theory ◽  
Higher Derivatives

Abstract Generalized dualities had an intriguing incursion into Double Field Theory (DFT) in terms of local O(d, d) transformations. We review this idea and use the higher derivative formulation of DFT to compute the first order corrections to generalized dualities. Our main result is a unified expression that can be easily specified to any generalized T-duality (Abelian, non-Abelian, Poisson-Lie, etc.) or deformations such as Yang-Baxter, in any of the theories captured by the bi-parametric deformation (bosonic, heterotic strings and HSZ theory), in any supergravity scheme related by field redefinitions. The prescription allows further extensions to higher orders. As a check we recover some previously known particular examples.

scholarly journals On inequalities of Kolmogorov type for fractional derivatives of functions defined on the real domain

2021 ◽  
Vol 16 ◽  
pp. 28
Author(s):  
V.F. Babenko ◽  
M.S. Churilova
Keyword(s):  
Fractional Derivative ◽  
Fractional Derivatives ◽  
Kolmogorov Type ◽  
The Real ◽  
Higher Derivative ◽  
Real Domain ◽  
Higher Derivatives ◽  
Derivatives Of ◽  
New Inequalities

We obtain new inequalities that generalize known result of Geisberg, which was obtained for fractional Marchaud derivatives, to the case of higher derivatives, at that the fractional derivative is a Riesz one. The inequality with second higher derivative is sharp.

Sign in / Sign up

Export Citation Format

Share Document