SPHALERONS AND NORMAL-MODES IN THE (1+1)-DIMENSIONAL ABELIAN HIGGS-MODEL ON THE CIRCLE

被引:28
作者
BRIHAYE, Y
GILLER, S
KOSINSKI, P
KUNZ, J
机构
[1] UNIV LODZ,DEPT THEORET PHYS,PL-90236 LODZ,POLAND
[2] UNIV UTRECHT,INST THEORET FYS,3508 TA UTRECHT,NETHERLANDS
[3] UNIV OLDENBURG,FACHBEREICH PHYS,W-2900 OLDENBURG,GERMANY
关键词
D O I
10.1016/0370-2693(92)90900-O
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The abelian Higgs model is considered on the circle. The periodic sphaleron solutions are constructed explicitly. The equations for the nor-mal modes about these solutions resemble Lame equations. For special values of the Higgs field mass a number of modes are obtained analytically, including in particular the negative modes.
引用
收藏
页码:383 / 388
页数:6
相关论文
共 20 条
[1]  
Arscott F. M., 1964, PERIODIC DIFFERENTIA
[2]  
Bochkarev A. I., 1987, Modern Physics Letters A, V2, P991, DOI 10.1142/S0217732387001257
[3]  
BRIHAYE Y, UNPUB
[4]   APPROXIMATE COMPUTATION OF THE SPHALERON PREFACTOR - APPLICATION TO THE 2-DIMENSIONAL ABELIAN HIGGS-MODEL [J].
CARSON, L .
PHYSICAL REVIEW D, 1990, 42 (08) :2853-2863
[5]   EXACT COMPUTATION OF THE SMALL-FLUCTUATION DETERMINANT AROUND A SPHALERON [J].
CARSON, L ;
LI, X ;
MCLERRAN, L ;
WANG, RT .
PHYSICAL REVIEW D, 1990, 42 (06) :2127-2143
[6]   TOPOLOGICAL TRANSITIONS AT FINITE TEMPERATURES - A REAL-TIME NUMERICAL APPROACH [J].
GRIGORIEV, DY ;
RUBAKOV, VA ;
SHAPOSHNIKOV, ME .
NUCLEAR PHYSICS B, 1989, 326 (03) :737-757
[7]   SOLITON PAIR CREATION AT FINITE TEMPERATURES - NUMERICAL STUDY IN (1 + 1) DIMENSIONS [J].
GRIGORIEV, DY ;
RUBAKOV, VA .
NUCLEAR PHYSICS B, 1988, 299 (01) :67-78
[8]   SPHALERON TRANSITIONS AT FINITE TEMPERATURES - NUMERICAL STUDY IN (1+1) DIMENSIONS [J].
GRIGORIEV, DY ;
RUBAKOV, VA ;
SHAPOSHNIKOV, ME .
PHYSICS LETTERS B, 1989, 216 (1-2) :172-176
[9]   THE ELECTROWEAK SPHALERON AT PHYSICAL MIXING ANGLE [J].
KLEIHAUS, B ;
KUNZ, J ;
BRIHAYE, Y .
PHYSICS LETTERS B, 1991, 273 (1-2) :100-104
[10]  
KLINKHAMER FR, 1984, PHYS REV D, V30, P2212, DOI 10.1103/PhysRevD.30.2212