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27 February 2020
  » arxiv » hep-th/9710140

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Integrable dissipative structures in the gauge theory of gravity
L. Martina ; O.K. Pashaev ; G. Soliani ( Lecce Univ. ; JINR Dubna ;
Date 17 Oct 1997
Journal Class.Quant.Grav. 14 (1997) 3179-3186
Subject High Energy Physics - Theory; Exactly Solvable and Integrable Systems | hep-th gr-qc nlin.SI solv-int
Affiliation Lecce Univ. (Italia), JINR Dubna (Russia)
AbstractThe Jackiw-Teitelboim gauge formulation of the 1+1 dimensional gravity allows us to relate different gauge fixing conditions with integrable hierarchies of evolution equations. We show that the equations for the Zweibein fields can be written as a pair of time reversed evolution equations of the reaction-diffusion type, admitting dissipative solutions. The spectral parameter for the related Lax pair appears as the constant valued spin connection associated with the $SO(1,1)$ gauge symmetry. Spontaneous breaking of the non-compact symmetry and the irreversible evolution are discussed.
Source arXiv, hep-th/9710140
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