The length distribution of vortex strings in U(1) equilibrium scalar field theory

被引:30
作者
Antunes, ND [1 ]
Bettencourt, LMA
机构
[1] Univ Sussex, Ctr Theoret Phys, Brighton BN1 9QJ, E Sussex, England
[2] Los Alamos Natl Lab, Theoret Div T6T11 MSB288, Los Alamos, NM 87545 USA
关键词
D O I
10.1103/PhysRevLett.81.3083
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We characterize the statistical length distribution of vortex strings by studying the nonperturbative thermodynamics of scalar U(1) field theory in 3D. All parameters characterizing the length distributions exhibit critical behavior at T-c and we measure their associated critical exponents. Moreover, we show that vortex strings are generally self-seeking at finite temperature and that there exists a natural separation between long strings and small loops based on their spatial correlation behavior. [S0031-9007(98)07128-2].
引用
收藏
页码:3083 / 3086
页数:4
相关论文
共 14 条
[1]   Thermodynamics of cosmic string densities in U(1) scalar field theory [J].
Antunes, ND ;
Bettencourt, LMA ;
Hindmarsh, M .
PHYSICAL REVIEW LETTERS, 1998, 80 (05) :908-911
[2]   STATISTICAL-MECHANICS OF STRINGS ON PERIODIC LATTICES [J].
AUSTIN, D ;
COPELAND, EJ ;
RIVERS, RJ .
PHYSICAL REVIEW D, 1994, 49 (08) :4089-4093
[3]  
BARLOW RJ, 1989, STAT
[4]  
BINDER K, 1997, MONTE CARLO SIMULATI
[5]   THE STATISTICAL-MECHANICS OF INTERACTING STRINGS [J].
COPELAND, E ;
HAWS, D ;
HOLBRAAD, S ;
RIVERS, R .
PHYSICA A, 1991, 179 (03) :507-530
[6]  
Feynman R. P., 1955, Progress in Low Temperature Physics, V1, P17, DOI [DOI 10.1016/S0079-6417(08)60077-3, 10.1016 /s0079-6417(08)60077-3, 10.1016/S0079-6417(08)60077-3]
[7]   TOPOLOGY OF COSMIC DOMAINS AND STRINGS [J].
KIBBLE, TWB .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1976, 9 (08) :1387-1398
[8]  
KIOMETZIS M, 1995, PHYS LETT B, V342, P284
[9]   ORDERING, METASTABILITY AND PHASE-TRANSITIONS IN 2 DIMENSIONAL SYSTEMS [J].
Kosterlitz, JM ;
Thouless, DJ .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1973, 6 (07) :1181-1203
[10]  
Onsager L., 1949, Il Nuovo Cimento (1943-1954), V6, P279, DOI [10.1007/BF02780988, DOI 10.1007/BF02780988, 10.1007/BF02780991, DOI 10.1007/BF02780991]