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  • Letter
  • Open Access

Proof of the equivalence of the symplectic forms derived from the canonical and the covariant phase space formalisms

Juan Margalef-Bentabol1,3 and Eduardo J. S. Villaseñor2,3

  • 1Department of Mathematics and Statistics, Memorial University, St. John’s, Newfoundland and Labrador A1C 5S7, Canada
  • 2Departamento de Matemáticas, Universidad Carlos III de Madrid, Avenida de la Universidad 30, 28911 Leganés, Spain
  • 3Grupo de Teorías de Campos y Física Estadística, Instituto Gregorio Millán (UC3M), Unidad Asociada al Instituto de Estructura de la Materia, CSIC, Madrid, Spain

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Phys. Rev. D 105, L101701 – Published 13 May, 2022

DOI: https://doi.org/10.1103/PhysRevD.105.L101701

Abstract

We prove that, for any theory defined over a space-time with boundary, the symplectic form derived in the covariant phase space is equivalent to the one derived from the canonical formalism.

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Phys. Rev. D 105, L101701– Published 13 May, 2022
  • Received 7 February 2022
  • Accepted 12 April 2022
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