The procedure for constructing dual Lagrangians depending only on canonical momenta is described. The theory is applied to explain the equivalence between certain relativistic theories of gravitation and General Relativity. The theory of dual Lagrangians for gauge theories is studied in detail. As an example, we describe SO(3) and SO(2,1) Yang-Mills theories on 3-dimensional and 4-dimensional manifolds.
Dual Lagrangian theories
FERRARIS, Marco;RAITERI, Marco
2000-01-01
Abstract
The procedure for constructing dual Lagrangians depending only on canonical momenta is described. The theory is applied to explain the equivalence between certain relativistic theories of gravitation and General Relativity. The theory of dual Lagrangians for gauge theories is studied in detail. As an example, we describe SO(3) and SO(2,1) Yang-Mills theories on 3-dimensional and 4-dimensional manifolds.
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