Noncommutative fermionic field theories with smooth commutative limit

被引:4
作者
Bak, D [1 ]
Kim, SK
Soh, KS
Yee, JH
机构
[1] Univ Seoul, Dept Phys, Seoul 130743, South Korea
[2] Ewha Womans Univ, Dept Phys, Seoul 120750, South Korea
[3] Seoul Natl Univ, Dept Phys, Seoul 151742, South Korea
[4] Yonsei Univ, Inst Phys & Appl Phys, Seoul 120749, South Korea
关键词
D O I
10.1103/PhysRevD.63.047701
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We consider two model held theories on a noncommutative plane that have a smooth commutative limit. One is the nonrelativistic single-component fermion theory with a quartic interaction that vanishes identically in the commutative limit. The other is a scalar-fermion theory, which extends the scalar field theory with a quartic interaction by adding a fermion. We show the smooth commutative limits by computing the bound state energies and the two particle scattering amplitudes exactly.
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页数:4
相关论文
共 18 条
[1]   Deformed Nahm equation and a noncommutative BPS monopole [J].
Bak, D .
PHYSICS LETTERS B, 1999, 471 (2-3) :149-154
[2]   Exact wave functions in a noncommutative field theory [J].
Bak, D ;
Kim, SK ;
Soh, KS ;
Yee, JH .
PHYSICAL REVIEW LETTERS, 2000, 85 (15) :3087-3090
[3]   NONRELATIVISTIC FIELD-THEORETIC SCALE ANOMALY [J].
BERGMAN, O .
PHYSICAL REVIEW D, 1992, 46 (12) :5474-5478
[4]   Magnetic fields, branes, and noncommutative geometry [J].
Bigatti, D ;
Susskind, L .
PHYSICAL REVIEW D, 2000, 62 (06)
[5]   Quantum field theory on non-commutative space-times and the persistence of ultraviolet divergences [J].
Chaichian, M ;
Demichev, A ;
Presnajder, P .
NUCLEAR PHYSICS B, 2000, 567 (1-2) :360-390
[6]  
Connes A, 1998, J HIGH ENERGY PHYS
[7]  
Douglas MR, 1998, J HIGH ENERGY PHYS
[8]   Divergencies in a field theory on quantum space [J].
Filk, T .
PHYSICS LETTERS B, 1996, 376 (1-3) :53-58
[9]   Nonrelativistic noncommutative field theory and UV-IR mixing [J].
Gomis, J ;
Landsteiner, K ;
Lopez, E .
PHYSICAL REVIEW D, 2000, 62 (10) :1-6
[10]  
GROSSE H, 2000, PHYS LETT B, V478, P394