Constructing p, n-forms from p-forms via the Hodge star operator and the exterior derivative

作     者：Jun-Jin Peng Jun-Jin Peng

作者机构：School of Physics and Electronic ScienceGuizhou Normal UniversityGuiyangGuizhou 550001China Guizhou Provincial Key Laboratory of Radio Astronomy and Data ProcessingGuizhou Normal UniversityGuiyangGuizhou 550001China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2020年第72卷第6期

页      面：97-105页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：supported by the Natural Science Foundation of China under Grant Nos.11865006 and 11505036 partially supported by the Technology Department of Guizhou province Fund under Grant Nos.5769 and1104 

主　　题：p-form Hodge star Laplace–Beltrami operator Lagrangian for p-form 

摘      要：In this paper,we aim to explore the properties and applications on the operators consisting of the Hodge star operator together with the exterior derivative,whose action on an arbitrary p-form field in n-dimensional spacetimes makes its form degree remain *** operations are able to generate a variety of p-forms with the even-order derivatives of the *** do this,we first investigate the properties of the operators,such as the Laplace–de Rham operator,the codifferential and their combinations,as well as the applications of the operators in the construction of conserved *** the basis of two general p-forms,then we construct a general n-form with higher-order ***,we propose that such an n-form could be applied to define a generalized Lagrangian with respect to a p-form field according to the fact that it includes the ordinary Lagrangians for the p-form and scalar fields as special cases.