Relativistic corrections to the Aharonov-Bohm scattering

被引:11
作者
Gomes, M [1 ]
Malbouisson, JMC [1 ]
da Silva, AJ [1 ]
机构
[1] Univ Sao Paulo, Inst Fis, BR-05315970 Sao Paulo, Brazil
关键词
D O I
10.1016/S0375-9601(97)00831-1
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We determine the \ p \/m expansion of the two-body scattering amplitude of the quantum theory of a Chem-Simons field minimally coupled to a scalar field with quartic self-interaction. It is shown that the existence of a critical value of the self-interaction parameter for which the two-particle amplitude reduces to the Aharonov-Bohm one is restricted to the leading, nonrelativistic, order. The subdominant terms correspond to relativistic corrections to the Aharonov-Bohm scattering. (C) 1997 Elsevier Science B.V.
引用
收藏
页码:373 / 382
页数:10
相关论文
共 19 条
[1]   SIGNIFICANCE OF ELECTROMAGNETIC POTENTIALS IN THE QUANTUM THEORY [J].
AHARONOV, Y ;
BOHM, D .
PHYSICAL REVIEW, 1959, 115 (03) :485-491
[2]   PERTURBATIVE RENORMALIZATIONS OF ANYON QUANTUM-MECHANICS [J].
AMELINO-CAMELIA, G .
PHYSICAL REVIEW D, 1995, 51 (04) :2000-2010
[3]   STATISTICAL-MECHANICS OF ANIONS [J].
AROVAS, DP ;
SCHRIEFFER, R ;
WILCZEK, F ;
ZEE, A .
NUCLEAR PHYSICS B, 1985, 251 (01) :117-126
[4]   AHARONOV-BOHM SCATTERING, CONTACT INTERACTIONS, AND SCALE-INVARIANCE [J].
BERGMAN, O ;
LOZANO, G .
ANNALS OF PHYSICS, 1994, 229 (02) :416-427
[5]   CHERN-SIMONS THEORY OF SCALAR PARTICLES AND THE AHARONOV-BOHM EFFECT [J].
BOZ, M ;
FAINBERG, V ;
PAK, NK .
PHYSICS LETTERS A, 1995, 207 (1-2) :1-10
[6]   Aharonov-Bohm scattering in Chern-Simons theory of scalar particles [J].
Boz, M ;
Fainberg, V ;
Pak, NK .
ANNALS OF PHYSICS, 1996, 246 (02) :347-368
[7]   DIFFERENTIAL REGULARIZATION OF A NONRELATIVISTIC ANYON MODEL [J].
FREEDMAN, DZ ;
LOZANO, G ;
RIUS, N .
PHYSICAL REVIEW D, 1994, 49 (02) :1054-1066
[8]   Scattering amplitude in the Aharonov-Bohm gauge field [J].
Giacconi, P ;
Maltoni, F ;
Soldati, R .
PHYSICAL REVIEW D, 1996, 53 (02) :952-959
[9]   On the nonrelativistic limit of the phi(4) theory in 2+1 dimensions [J].
Gomes, M ;
Malbouisson, JMC ;
DaSilva, AJ .
MODERN PHYSICS LETTERS A, 1996, 11 (36) :2825-2836
[10]   PERTURBATION-THEORY AND THE AHARONOV-BOHM EFFECT [J].
HAGEN, CR .
PHYSICAL REVIEW D, 1995, 52 (04) :2466-2470