CONFORMAL-INVARIANT SCATTERING AMPLITUDE FOR SPINLESS PARTICLES

被引：7
作者：
BALI, NF
COON, DD
KATZ, A
机构：
[1] Department of Physics, University of Washington, Seattle, WA
[2] Weizmann Institute, Rehovoth
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 1969年 / 10卷 / 10期
关键词：
D O I：
10.1063/1.1664787
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The implications of exact conformai symmetry for the S matrix of spinless massless particles are studied. Explicit forms for the scattering amplitudes are obtained in configuration space. Differential conditions for conformal-invariant amplitudes are derived in momentum space. These are solved for the case of elastic two-body scattering and lead to an integral representation of the general two-body ampli-tude in terms of Lorentz scalars. The integral representation involves two arbitrary functions of two variables and four explicit quadratures. Further study of the four quadratures appears in appendices.
引用
收藏
页码：1939 / &
相关论文
共 29 条
[1]  
Bateman H, 1910, P LOND MATH SOC, V8, P223
[2]  
CASTELL L, 1967, NUCL PHYS B, V4, P343
[3]  
Courant R., 1962, METHODS MATH PHYS, VII, P62
[4]  
Cunningham E, 1910, P LOND MATH SOC, V8, P77
[5]   Wave equations in conformal space [J].
Dirac, PAM .
ANNALS OF MATHEMATICS, 1936, 37 :429-442
[6]  
ERDELYI A, 1953, HIGH TRANSCENDENTAL, V1, P31
[7]  
Erdelyi A., 1953, HIGH TRANSCENDENTAL, V2, P7
[8]  
Erdelyi A, 1954, TABLES INTEGRAL TRAN, V1, p[99, 43]
[9]   CONFORMAL GROUP IN MINKOWSKY SPACE . UNITARY IRREDUCIBLE REPRESENTATIONS [J].
ESTEVE, A ;
SONA, PG .
NUOVO CIMENTO, 1964, 32 (02) :473-+
[10]   CONFORMAL INVARIANCE IN PHYSICS [J].
FULTON, T ;
ROHRLICH, F ;
WITTEN, L .
REVIEWS OF MODERN PHYSICS, 1962, 34 (03) :442-&
123