Quasi-invariance and Central extensions

Marmo, G. ; Morandi, G. ; Simoni, A. ; Sudarshan, E. C. G. (1988) Quasi-invariance and Central extensions Physical Review D - Particles, Fields, Gravitation and Cosmology, 37 (8). pp. 2196-2205. ISSN 1550-7998

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Official URL: http://prd.aps.org/abstract/PRD/v37/i8/p2196_1

Related URL: http://dx.doi.org/10.1103/PhysRevD.37.2196

Abstract

Motivated by the theory of anomalies, the theory of classical dynamical systems described by quasi-invariant Lagrangians is reexamined in the present paper. A mathematical structure similar to the one describing anomalies in quantum field theory is found in systems for which an invariant Lagrangian description requires central extensions of the symmetry groups of the equations of motion. The case in which the symmetry group does not allow for nontrivial central extensions is also discussed.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:51118
Deposited On:27 Jul 2011 12:53
Last Modified:18 May 2016 05:11

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