scholarly journals Gauge Structure of Teleparallel Gravity

Universe ◽  
2019 ◽  
Vol 5 (6) ◽  
pp. 139 ◽  
Author(s):  
José G. Pereira ◽  
Yuri N. Obukhov

During the conference Teleparallel Universes in Salamanca, we became aware of a recent paper [M. Fontanini, E. Huguet, and M. Le Delliou, Phys. Rev. D 2019, 99, 064006] in which some criticisms on the interpretation of teleparallel gravity as a gauge theory for the translation group were put forward. This triggered a discussion about the arguments on which those criticisms were based, whose output is described in the present paper. The main conclusion is that to a great extent, those arguments are incorrect, and lack mathematical and physical support.

2021 ◽  
Vol 103 (4) ◽  
Author(s):  
E. Huguet ◽  
M. Le Delliou ◽  
M. Fontanini ◽  
Z.-C. Lin

2019 ◽  
Vol 14 (1) ◽  
Author(s):  
Gaurav Karnatak ◽  
P.S. Bisht ◽  
O.P.S. Negi

Starting with the Quaternion formulation of SU (2 )× U (1)gauge theory of dyons and gravitodyons, it is shown that the formulation characterizes the abelian and non-Abelian gauge structure of dyons and gravito-dyons in terms of purely real and imaginary units of quaternion.


2019 ◽  
Vol 14 (1) ◽  
Author(s):  
Gaurav Karnatak ◽  
P.S. Bisht ◽  
O.P.S. Negi

Starting with the Quaternion formulation of SU (2 )× U (1)gauge theory of dyons and gravitodyons, it is shown that the formulation characterizes the abelian and non-Abelian gauge structure of dyons and gravito-dyons in terms of purely real and imaginary units of quaternion.


2014 ◽  
Vol 29 (05) ◽  
pp. 1450028 ◽  
Author(s):  
M. Monemzadeh ◽  
Aghileh S. Ebrahimi ◽  
S. Sramadi ◽  
M. Dehghani

In this paper, the gauge structure of non-Abelian Chern–Simons model is investigated. Non-Abelian Chern–Simons model, unlike first class constraints systems is not a gauge theory, primarily due to the appearance of two second class constraints in its algebra. These two second class constraints were converted into first ones using gauge unfixing formalism. The model Lagrangian and Hamiltonian were obtained, aiming to satisfy first class algebra and hence making it into a fully gauge theory. Partition function of the model was finally evaluated and presented here.


2014 ◽  
Vol 333 (1) ◽  
pp. 153-186 ◽  
Author(s):  
John C. Baez ◽  
Derek K. Wise

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