Two- and three-dimensional spin systems with gonihedric action

被引:22
作者
Bathas, GK
Floratos, E
Savvidy, GK
Savvidy, KG
机构
[1] UNIV CRETE,DEPT PHYS,GR-71409 IRAKLION,GREECE
[2] NATL RES CTR,GR-15310 A PARASKEVI,GREECE
[3] YEREVAN PHYS INST,YEREVAN 375036,ARMENIA
[4] PRINCETON UNIV,DEPT PHYS,PRINCETON,NJ 08544
关键词
D O I
10.1142/S0217732395002829
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We perform numerical simulations of the three-dimensional spin system with competing interaction that has been proposed in Refs. 1-3 as a model of random surfaces with gonihedric action. For the system with a self-intersection coupling constant k equal to one we observe the second-order phase transition at the temperature Beta(c) similar or equal to 0.44. We suggest the full set of order parameters, which characterize the structure of the vacuum states and of the phase transition.
引用
收藏
页码:2695 / 2701
页数:7
相关论文
共 18 条
[1]   ALTERNATIVE MODEL OF RANDOM SURFACES [J].
AMBARTZUMIAN, RV ;
SAVVIDY, GK ;
SAVVIDY, KG ;
SUKIASIAN, GS .
PHYSICS LETTERS B, 1992, 275 (1-2) :99-102
[2]  
[Anonymous], 1987, GAUGE FIELDS STRINGS
[3]   MODIFIED STEINER FUNCTIONAL STRING ACTION [J].
BAILLIE, CF ;
JOHNSTON, DA .
PHYSICAL REVIEW D, 1992, 45 (10) :R3326-R3328
[4]  
CASHER A, 1982, NUCL PHYS B, V251, P29
[5]   ON SUBDIVISION INVARIANT ACTIONS FOR RANDOM SURFACES [J].
DURHUUS, B ;
JONSSON, T .
PHYSICS LETTERS B, 1992, 297 (3-4) :271-274
[6]   FERMION REPRESENTATION FOR THE Z2 LATTICE GAUGE-THEORY IN 2+1 DIMENSIONS [J].
FRADKIN, E ;
SREDNICKI, M ;
SUSSKIND, L .
PHYSICAL REVIEW D, 1980, 21 (10) :2885-2891
[7]   ISING FERMIONS .2. 3 DIMENSIONS [J].
ITZYKSON, C .
NUCLEAR PHYSICS B, 1982, 210 (04) :477-498
[8]   Statistics of the two-dimensional ferromagnet Part I [J].
Kramers, HA ;
Wannier, GH .
PHYSICAL REVIEW, 1941, 60 (03) :252-262
[9]   A PARTON VIEW ON DUAL AMPLITUDES [J].
NIELSEN, HB ;
OLESEN, P .
PHYSICS LETTERS B, 1970, B 32 (03) :203-&
[10]   STRING FINE-TUNING [J].
SAVVIDY, GK ;
SAVVIDY, KG .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1993, 8 (22) :3993-4011