A modified c = 1 matrix model with new critical behavior
Abstract
By introducing a ∫ dtg (Tr Φ^{2}( t)) ^{2} term into the action of the c = 1 matrix model of twodimensional quantum gravity, we find a new critical behavior for random surfaces. The planar limit of the path integral generates multiple spherical “bubbles” which touch one another at single points. At a special value of g, the sum over connected surfaces behaves as Δ^{2}log Δ, where Δ is the cosmological constant (the sum over surfaces of area A goes as A^{3}). For comparison, in the conventional c = 1 model the sum over planar surfaces behaves as {Δ ^{2}}/{log Δ }.
 Publication:

Physics Letters B
 Pub Date:
 December 1994
 DOI:
 10.1016/03702693(94)912947
 arXiv:
 arXiv:hepth/9407014
 Bibcode:
 1994PhLB..340...35G
 Keywords:

 High Energy Physics  Theory
 EPrint:
 11 pages, 2 figures (uuencoded postscript files), PUPT1479