Gravity as a gauge theory with Cartan connection

1988 ◽  
Vol 29 (7) ◽  
pp. 1661-1666 ◽  
Author(s):  
Andrew Zardecki
Keyword(s):  
Gauge Theory ◽  
Cartan Connection

scholarly journals Teleparallel gravity as a gauge theory: Coupling to matter using the Cartan connection

2021 ◽  
Vol 103 (4) ◽  
Author(s):  
E. Huguet ◽  
M. Le Delliou ◽  
M. Fontanini ◽  
Z.-C. Lin
Keyword(s):  
Gauge Theory ◽  
Teleparallel Gravity ◽  
Cartan Connection

scholarly journals Cartan approach to Teleparallel Equivalent to General Relativity: A review

2021 ◽  
pp. 2150074
Author(s):  
E. Huguet ◽  
M. Le Delliou ◽  
M. Fontanini
Keyword(s):  
General Relativity ◽  
Gauge Theory ◽  
Cartan Connection ◽  
Theory Formulation ◽  
New Formulation

In previous works, questioning the mathematical nature of the connection in the translations gauge theory formulation of Teleparallel Equivalent to General Relativity (TEGR) Theory led us to propose a new formulation using a Cartan connection. In this review, we summarize the presentation of that proposal and discuss it from a gauge theoretic perspective.

The Standard Theory

2017 ◽  
Author(s):  
John Iliopoulos
Keyword(s):  
Gauge Theory ◽  
Invariant Theory ◽  
Standard Theory ◽  
Strong Interactions ◽  
Gauge Invariant ◽  
Electromagnetic Interactions ◽  
Protons And Neutrons ◽  
Free Particles ◽  
Theoretical Predictions ◽  
Theory And Experiment

All ingredients of the previous chapters are combined in order to build a gauge invariant theory of the interactions among the elementary particles. We start with a unified model of the weak and the electromagnetic interactions. The gauge symmetry is spontaneously broken through the BEH mechanism and we identify the resulting BEH boson. Then we describe the theory known as quantum chromodynamics (QCD), a gauge theory of the strong interactions. We present the property of confinement which explains why the quarks and the gluons cannot be extracted out of the protons and neutrons to form free particles. The last section contains a comparison of the theoretical predictions based on this theory with the experimental results. The agreement between theory and experiment is spectacular.

Integrability: From Statistical Systems to Gauge Theory

2019 ◽  
Keyword(s):  
Field Theory ◽  
Gauge Theory ◽  
Summer School ◽  
Condensed Matter ◽  
Theoretical Physics ◽  
Conformal Field ◽  
The Past ◽  
Background Material ◽  
Supersymmetric Gauge ◽  
Statistical Systems

This volume contains lectures delivered at the Les Houches Summer School ‘Integrability: from statistical systems to gauge theory’ held in June 2016. The School was focussed on applications of integrability to supersymmetric gauge and string theory, a subject of high and increasing interest in the mathematical and theoretical physics communities over the past decade. Relevant background material was also covered, with lecture series introducing the main concepts and techniques relevant to modern approaches to integrability, conformal field theory, scattering amplitudes, and gauge/string duality. The book will be useful not only to those working directly on integrablility in string and guage theories, but also to researchers in related areas of condensed matter physics and statistical mechanics.

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