Invariant perturbation theory for nonlinear chiral Lagrangians

1971 ◽  
Vol 8 (3) ◽  
pp. 843-850 ◽  
Author(s):  
A. A. Slavnov ◽  
L. D. Faddeev
Keyword(s):  
Perturbation Theory ◽  
Chiral Lagrangians ◽  
Invariant Perturbation Theory

Higher orders in the invariant perturbation theory for chiral lagrangians

1973 ◽  
Vol 8 (2) ◽  
pp. 117-120 ◽  
Author(s):  
L. D. Faddeev ◽  
A. A. Slavnov
Keyword(s):  
Perturbation Theory ◽  
Chiral Lagrangians ◽  
Invariant Perturbation Theory

scholarly journals S-duality invariant perturbation theory improved by holography

2017 ◽  
Vol 2017 (4) ◽  
Author(s):  
Abhishek Chowdhury ◽  
Masazumi Honda ◽  
Somyadip Thakur
Keyword(s):  
Perturbation Theory ◽  
Invariant Perturbation Theory

INVARIANT PERTURBATION THEORY

1982 ◽  
pp. 283-316
Author(s):  
V.B. BERESTETSKII ◽  
E.M. LIFSHITZ ◽  
L.P. PITAEVSKII
Keyword(s):  
Perturbation Theory ◽  
Invariant Perturbation Theory

scholarly journals Gauge invariant perturbation theory via homotopy transfer

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Christoph Chiaffrino ◽  
Olaf Hohm ◽  
Allison F. Pinto
Keyword(s):  
Perturbation Theory ◽  
Lie Algebras ◽  
Closed String ◽  
Cosmological Perturbation ◽  
Gauge Invariant ◽  
Yang Mills ◽  
Cosmological Perturbation Theory ◽  
Invariant Perturbation Theory ◽  
General Gauge ◽  
Algorithmic Procedure

Abstract We show that the perturbative expansion of general gauge theories can be expressed in terms of gauge invariant variables to all orders in perturbations. In this we generalize techniques developed in gauge invariant cosmological perturbation theory, using Bardeen variables, by interpreting the passing over to gauge invariant fields as a homotopy transfer of the strongly homotopy Lie algebras encoding the gauge theory. This is illustrated for Yang-Mills theory, gravity on flat and cosmological backgrounds and for the massless sector of closed string theory. The perturbation lemma yields an algorithmic procedure to determine the higher corrections of the gauge invariant variables and the action in terms of these.

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