VACUUM ENERGY IN SMOOTH BACKGROUND FIELDS

被引:77
作者
BORDAG, M
机构
[1] Inst. fur Theor. Phys., Leipzig Univ.
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1995年 / 28卷 / 03期
关键词
D O I
10.1088/0305-4470/28/3/028
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We consider the ground-state energy of a scalar held in the background of a general potential which depends on one coordinate. We consider a general expression following from the analytical properties of the one-dimensional scattering matrix. We show that reflections give a positive and bound states a negative contribution to the ground-state energy and we calculate explicitly two simple examples, the square-well potential and a piecewise oscillatory potential. We demonstrate our formulae by an easy rederivation of the mass of the kink.
引用
收藏
页码:755 / 765
页数:11
相关论文
共 14 条
[1]  
Abramowitz M.., 1972, HDB MATH FUNCTIONS
[2]   THE EFFECTIVE ACTION OF A SPIN 1/2 FIELD IN THE BACKGROUND OF A CHIRAL SOLITON [J].
BAACKE, J .
ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1992, 53 (03) :407-411
[3]   NUMERICAL EVALUATION OF THE ONE-LOOP EFFECTIVE ACTION IN STATIC BACKGROUNDS WITH SPHERICAL-SYMMETRY [J].
BAACKE, J .
ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1990, 47 (02) :263-268
[4]   ZETA-FUNCTIONS AND THE CASIMIR ENERGY [J].
BLAU, SK ;
VISSER, M ;
WIPF, A .
NUCLEAR PHYSICS B, 1988, 310 (01) :163-180
[5]   TRACE IDENTITIES AND ANALYTICAL EVALUATION OF THE FUNCTIONAL DETERMINANTS [J].
BOCHKAREV, AI .
PHYSICAL REVIEW D, 1992, 46 (12) :5550-5556
[6]   MASS FORMULAS FOR STATIC SOLITONS [J].
CAHILL, K ;
COMTET, A ;
GLAUBER, RJ .
PHYSICS LETTERS B, 1976, 64 (03) :283-285
[7]  
COHEN AG, 1993, ANNU REV NUCL PART S, V43, P27
[8]   NONPERTURBATIVE METHODS AND EXTENDED-HADRON MODELS IN FIELD-THEORY .2. 2-DIMENSIONAL MODELS AND EXTENDED HADRONS [J].
DASHEN, RF ;
HASSLACHER, B ;
NEVEU, A .
PHYSICAL REVIEW D, 1974, 10 (12) :4130-4138
[9]  
Elizalde E., 1994, ZETA REGULARIZATION
[10]  
KHLEBNIKOV SY, 1992, PHYS REV D, V46, P3323