TY - JOUR

T1 - A modified c = 1 matrix model with new critical behavior

AU - Gubser, Steven S.

AU - R. Klebanov, Igor

N1 - Funding Information:
tigator Award PHY-9157482, James S. McDonnell Foundation grant No. 91-48, and an A.P. Sloan Foundation Research Fellowship.
Funding Information:
We thank David Gross for interesting discussions. This work was supported in part by DOE grant DE-FG02-91ER40671, the NSF Presidential Young Inves-

PY - 1994/12/1

Y1 - 1994/12/1

N2 - By introducing a ∫ dt g (TrΦ2(t))2 term into the action of the c = 1 matrix model of two-dimensional 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 Δ2log 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 Δ2 log Δ.

AB - By introducing a ∫ dt g (TrΦ2(t))2 term into the action of the c = 1 matrix model of two-dimensional 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 Δ2log 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 Δ2 log Δ.

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U2 - 10.1016/0370-2693(94)91294-7

DO - 10.1016/0370-2693(94)91294-7

M3 - Article

AN - SCOPUS:0002421751

VL - 340

SP - 35

EP - 42

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1-2

ER -