Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-10-17
Class.Quant.Grav. 14 (1997) 3179-3186
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, Latex, no figures, to appear in Class. Quantum. Grav
Scientific paper
10.1088/0264-9381/14/12/005
The 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.
Martina Luigi
Pashaev Oktay K.
Soliani Giulio
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