Electrodynamics Modified by Some Dimension-five Lorentz Violating Interactions: Radiative Corrections

We study radiative corrections to massless quantum electrodynamics modified by two dimension-five LV interactions $\bar{\Psi} \gamma^{\mu} b'^{\nu} F_{\mu\nu}\Psi$ and $\bar{\Psi}\gamma^{\mu}b^{\nu} \tilde{F}_{\mu\nu} \Psi$ in the framework of effective field theories. All divergent one-particle-irreducible Feynman diagrams are calculated at one-loop order and several related issues are discussed. It is found that massless quantum electrodynamics modified by the interaction $\bar{\Psi} \gamma^{\mu} b'^{\nu} F_{\mu\nu}\Psi$ alone is one-loop renormalizable and the result can be understood on the grounds of symmetry. In this context the one-loop Lorentz-violating beta function is derived and the corresponding running coefficients are obtained.Comment: 13 pages, 1 figure. Version to appear in EPJ

Holographic Complexity Growth Rate in Horndeski Theory

Based on the context of complexity = action (CA) conjecture, we calculate the holographic complexity of AdS black holes with planar and spherical topologies in Horndeski theory. We find that the rate of change of holographic complexity for neutral AdS black holes saturates the Lloyd's bound. For charged black holes, we find that there exists only one horizon and thus the corresponding holographic complexity can't be expressed as the difference of some thermodynamical potential between two horizons as that of Reissner-Nordstrom AdS black hole in Einstein-Maxwell theory. However, the Lloyd's bound is not violated for charged AdS black hole in Horndeski theory.Comment: 20 pages, 6 figures, references added, typos correcte

On Functional Decomposition of Multivariate Polynomials with Differentiation and Homogenization

In this paper, we give a theoretical analysis for the algorithms to compute functional decomposition for multivariate polynomials based on differentiation and homogenization which are proposed by Ye, Dai, Lam (1999) and Faug$\mu$ere, Perret (2006, 2008, 2009). We show that a degree proper functional decomposition for a set of randomly decomposable quartic homogenous polynomials can be computed using the algorithm with high probability. This solves a conjecture proposed by Ye, Dai, and Lam (1999). We also propose a conjecture such that the decomposition for a set of polynomials can be computed from that of its homogenization with high probability. Finally, we prove that the right decomposition factors for a set of polynomials can be computed from its right decomposition factor space. Combining these results together, we prove that the algorithm can compute a degree proper decomposition for a set of randomly decomposable quartic polynomials with probability one when the base field is of characteristic zero, and with probability close to one when the base field is a finite field with sufficiently large number under the assumption that the conjeture is correct

Portrait of internationlized curriculum at the University of Saskatchewan

My study sought to explore one aspect of the internationalization process at the University of Saskatchewan through an examination of the internationalization of some of its curriculum. My research concentrated on the courses in the College of Education and the College of Commerce in order to find out the numbers of internationalized curricula in the two colleges. I sought the proportion of the courses in the two colleges that had an international/intercultural perspective or content and also to discover how the courses had been internationalized. The definition of internationalized curriculum in my study was based on the study by OECD (1996). A number of keywords were selected as indicators of internationalized curriculum according to its definition and characteristics of the nine typologies created by OECD. A document analysis approach was adopted in my study through the data collected from the various university websites, course calendar descriptions, outlines, and related course materials. I hope that my analysis of the profile and characteristics of courses in the two colleges will help instructors and administrators in the University of Saskatchewan and beyond to consider the significance of implementing internationalized curriculum and to improve or create more programs and curricula that would have an increased international or intercultural orientation