SOME QUANTUM ASPECTS OF THE REGULARIZATION WITH HIGHER DERIVATIVES

1989 ◽  
Vol 04 (22) ◽  
pp. 2195-2200 ◽  
Author(s):  
J. BARCELOS-NETO ◽  
N.R.F. BRAGA
Keyword(s):  
Canonical Quantization ◽  
Scalar Theory ◽  
Higher Derivative ◽  
Higher Derivatives ◽  
Quantum Aspects

We discuss the canonical quantization of scalar theory when higher derivative regulating terms are included in the Lagrangian.

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.

Canonical quantization of the Yang-Mills Lagrangian with higher derivatives

1985 ◽  
Vol 28 (7) ◽  
pp. 554-556 ◽  
Author(s):  
D. M. Gitman ◽  
S. L. Lyakhovich ◽  
I. V. Tyutin
Keyword(s):  
Canonical Quantization ◽  
Yang Mills ◽  
Higher Derivatives

scholarly journals HIGHER-DERIVATIVE TWO-DIMENSIONAL MASSIVE FERMION THEORIES

2000 ◽  
Vol 15 (15) ◽  
pp. 2237-2254 ◽  
Author(s):  
L. V. BELVEDERE ◽  
R. L. P. G. AMARAL ◽  
N. A. LEMOS ◽  
C. G. CARVALHAES
Keyword(s):  
Lorentz Invariance ◽  
Canonical Quantization ◽  
Mass Term ◽  
Two Dimensional ◽  
Massive Fermion ◽  
Higher Derivative ◽  
Odd Order ◽  
Boson Theory ◽  
Current Interaction ◽  
Hilbert Subspace

We consider the canonical quantization of a generalized two-dimensional massive fermion theory containing higher odd-order derivatives. The requirements of Lorentz invariance, hermiticity of the Hamiltonian and absence of tachyon excitations suffice to fix the mass term, which contains a derivative coupling. We show that the basic quantum excitations of a higher-derivative theory of order 2N+1 consist of a physical usual massive fermion, quantized with positive metric, plus 2N unphysical massless fermions, quantized with opposite metrics. The positive-metric Hilbert subspace, which is isomorphic to the space of states of a massive free fermion theory, is selected by a subsidiary-like condition. Employing the standard bosonization scheme, the equivalent boson theory is derived. The results obtained are used as a guideline to discuss the solution of a theory including a current–current interaction.

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 Soliton solutions in two-dimensional Lorentz-violating higher derivative scalar theory

2018 ◽  
Vol 396 ◽  
pp. 351-370
Author(s):  
E. Passos ◽  
C.A.G. Almeida ◽  
F.A. Brito ◽  
R. Menezes ◽  
J.C. Mota-Silva ◽  
...  
Keyword(s):  
Soliton Solutions ◽  
Two Dimensional ◽  
Scalar Theory ◽  
Higher Derivative

scholarly journals Discussing quantum aspects of higher-derivative 3-D gravity in the first-order formalism

2010 ◽  
Vol 67 (1-2) ◽  
pp. 311-319 ◽  
Author(s):  
J. A. Helayël-Neto ◽  
L. M. de Moraes ◽  
V. J. Vasquez
Keyword(s):  
First Order ◽  
Higher Derivative ◽  
Quantum Aspects

scholarly journals One-loop renormalization and asymptotic behaviour of a higher-derivative scalar theory in curved spacetime

1994 ◽  
Vol 328 (3-4) ◽  
pp. 297-306 ◽  
Author(s):  
E. Elizalde ◽  
A.G. Jacksenaev ◽  
S.D. Odintsov ◽  
I.L. Shapiro
Keyword(s):  
Asymptotic Behaviour ◽  
Curved Spacetime ◽  
Scalar Theory ◽  
Higher Derivative

scholarly journals Quantum aspects of the higher-derivative Lorentz-breaking extension of QED

2019 ◽  
Vol 99 (9) ◽  
Author(s):  
T. Mariz ◽  
J. R. Nascimento ◽  
A. Yu. Petrov ◽  
C. Marat Reyes
Keyword(s):  
Higher Derivative ◽  
Quantum Aspects
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