TY - JOUR
T1 - Further investigations of the crumpling transition in dynamically triangulated random surfaces
AU - Baillie, C. F.
AU - Williams, R. D.
AU - Catterall, S. M.
AU - Johnston, D. A.
N1 - Funding Information:
The bulk of the scaling calculations were performed on the CRAY X-MP/48 at Rutherford Laboratory in England under grant GR/F/7123.2. The higher-dimension computations were performed on the 32-node TC2000 Butterfly II computer at Argonne National Laboratory and the 96-node GP1000 Butterfly at Michigan State University. The non-universality computations were performed on the 576-node Ncube hypercube and 192-node Symult 2010 at CALTECH, and on the 1024-node Ncube at Sandia National Laboratory. C.F.B. and R.D.W. were supported in part by DOE grant DE-FG03-85ER25009. S.M.C. was supported by the SERC and D.A.J. was supported by a BP venture research grant. We would like to thank Wolfhard Janke for doing some of the early CRAY runs and Peter Schupp for doing some of the early parallel computer runs.
PY - 1991/1/21
Y1 - 1991/1/21
N2 - We examine further the critical behaviour of dynamically triangulated random surfaces (DTRS) with extrinsic curvature at their second-order crumpling transition. We show that the string tension in these models may be scaling near the transition in such a way that the physical string tension is finite, unlike models containing only a Polyakov term, suggesting that one can use DTRS as a discretization of subcritical string theory. We explore the universality properties of DTRS, showing that an apparently irrelevant term can affect the phase transition. We also find that the observed phase transition persists when the surfaces are embedded in higher dimensions, contradicting the naive expectations of a saddle point expansion.
AB - We examine further the critical behaviour of dynamically triangulated random surfaces (DTRS) with extrinsic curvature at their second-order crumpling transition. We show that the string tension in these models may be scaling near the transition in such a way that the physical string tension is finite, unlike models containing only a Polyakov term, suggesting that one can use DTRS as a discretization of subcritical string theory. We explore the universality properties of DTRS, showing that an apparently irrelevant term can affect the phase transition. We also find that the observed phase transition persists when the surfaces are embedded in higher dimensions, contradicting the naive expectations of a saddle point expansion.
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U2 - 10.1016/0550-3213(91)90204-B
DO - 10.1016/0550-3213(91)90204-B
M3 - Article
AN - SCOPUS:5244351974
SN - 0550-3213
VL - 348
SP - 543
EP - 579
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - 3
ER -