scholarly journals The Spectral Action Principle

1997 ◽  
Vol 186 (3) ◽  
pp. 731-750 ◽  
Author(s):  
A. H. Chamseddine ◽  
A. Connes
Keyword(s):  
Action Principle ◽  
Spectral Action

scholarly journals Remarks on the spectral action principle

1998 ◽  
Vol 436 (1-2) ◽  
pp. 84-90 ◽  
Author(s):  
Ali H Chamseddine
Keyword(s):  
Action Principle ◽  
Spectral Action

scholarly journals A nonperturbative form of the spectral action principle in noncommutative geometry

1998 ◽  
Vol 26 (3-4) ◽  
pp. 329-339 ◽  
Author(s):  
H. Figueroa ◽  
J.M. Gracia-Bondía ◽  
F. Lizzi ◽  
J.C. Várilly
Keyword(s):  
Noncommutative Geometry ◽  
Action Principle ◽  
Spectral Action

scholarly journals Erratum to: The Holst Action by the Spectral Action Principle

2012 ◽  
Vol 313 (1) ◽  
pp. 291-292 ◽  
Author(s):  
Frank Pfäffle ◽  
Christoph A. Stephan
Keyword(s):  
Action Principle ◽  
Spectral Action

scholarly journals On gravity, torsion and the spectral action principle

2012 ◽  
Vol 262 (4) ◽  
pp. 1529-1565 ◽  
Author(s):  
Frank Pfäffle ◽  
Christoph A. Stephan
Keyword(s):  
Action Principle ◽  
Spectral Action

scholarly journals The Holst Action by the Spectral Action Principle

2011 ◽  
Vol 307 (1) ◽  
pp. 261-273 ◽  
Author(s):  
Frank Pfäffle ◽  
Christoph A. Stephan
Keyword(s):  
Action Principle ◽  
Spectral Action

scholarly journals Non-Riemannian gravity actions from double field theory

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
A. D. Gallegos ◽  
U. Gürsoy ◽  
S. Verma ◽  
N. Zinnato
Keyword(s):  
Field Theory ◽  
Quantum Gravity ◽  
Condensed Matter ◽  
Equations Of Motion ◽  
Technical Note ◽  
Action Principle ◽  
Relativistic Symmetry ◽  
Gravitational Theories ◽  
Double Field Theory

Abstract Non-Riemannian gravitational theories suggest alternative avenues to understand properties of quantum gravity and provide a concrete setting to study condensed matter systems with non-relativistic symmetry. Derivation of an action principle for these theories generally proved challenging for various reasons. In this technical note, we employ the formulation of double field theory to construct actions for a variety of such theories. This formulation helps removing ambiguities in the corresponding equations of motion. In particular, we embed Torsional Newton-Cartan gravity, Carrollian gravity and String Newton-Cartan gravity in double field theory, derive their actions and compare with the previously obtained results in literature.

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