Pair production of Dirac particles in a d+1-dimensional noncommutative space-time

被引:0
作者
Samary, Dine Ousmane [1 ,2 ]
N'Dolo, Emanonfi Elias [2 ]
Hounkonnou, Mahouton Norbert [2 ]
机构
[1] Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada
[2] Univ Abomey Calavi, Int Chair Math Phys & Applicat ICMPA UNESCO Chair, Cotonou, Benin
来源
EUROPEAN PHYSICAL JOURNAL C | 2014年 / 74卷 / 11期
关键词
PHYSICAL INSTANCES; EXTERNAL FIELDS; NEUTRAL PARTICLES; 2+1 DIMENSIONS; PLANCK-SCALE; VACUUM; CREATION;
D O I
10.1140/epjc/s10052-014-3165-z
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
This work addresses the computation of the probability of fermionic particle pair production in (d + 1)dimensional noncommutative Moyal space. Using Seiberg-Witten maps, which establish relations between noncommutative and commutative field variables, up to the first order in the noncommutative parameter., we derive the probability density of vacuum-vacuum pair production of Dirac particles. The cases of constant electromagnetic, alternating time-dependent, and space-dependent electric fields are considered and discussed.
引用
收藏
页数:11
相关论文
共 40 条
  • [1] Adorno T.C., ARXIV14097742HEPTH
  • [2] [Anonymous], 1994, NONCOMMUTATIVE GEOME
  • [3] Banburski A., ARXIV13080300GRQC
  • [4] Ben Geloun J., HEPTH0608024
  • [5] Noncommutative electrodynamics
    Berrino, G
    Cacciatori, SL
    Celi, A
    Martucci, L
    Vicini, A
    [J]. PHYSICAL REVIEW D, 2003, 67 (06):
  • [6] Space/time non-commutative field theories and causality
    Bozkaya, H
    Fischer, P
    Grosse, H
    Pitschmann, M
    Putz, V
    Schweda, M
    Wulkenhaar, R
    [J]. EUROPEAN PHYSICAL JOURNAL C, 2003, 29 (01): : 133 - 141
  • [7] PAIR PRODUCTION IN VACUUM BY AN ALTERNATING FIELD
    BREZIN, E
    ITZYKSON, C
    [J]. PHYSICAL REVIEW D, 1970, 2 (07) : 1191 - +
  • [8] Noncommutativity in field space and Lorentz invariance violation
    Carmona, JM
    Cortés, JL
    Gamboa, J
    Méndez, F
    [J]. PHYSICS LETTERS B, 2003, 565 (1-4) : 222 - 228
  • [9] Efficient computation of the Zassenhaus formula
    Casas, Fernando
    Murua, Ander
    Nadinic, Mladen
    [J]. COMPUTER PHYSICS COMMUNICATIONS, 2012, 183 (11) : 2386 - 2391
  • [10] Pair production by a constant external field in noncommutative QED
    Chair, N
    Sheikh-Jabbari, MM
    [J]. PHYSICS LETTERS B, 2001, 504 (1-2) : 141 - 146