TRIVIALITY OF MONOMIAL HIGGS POTENTIALS

被引:6
作者
CHO, HT
MILTON, KA
CLINE, J
PINSKY, SS
SIMMONS, LM
机构
[1] OHIO STATE UNIV,DEPT PHYS,COLUMBUS,OH 43210
[2] UNIV CALIF LOS ALAMOS SCI LAB,DIV THEORET,LOS ALAMOS,NM 87545
[3] SANTA FE INST,SANTA FE,NM 87501
关键词
D O I
10.1016/0550-3213(90)90071-K
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
The δ expansion method is used to study all scalar field theories with symmetric monomial self-interactions of the form (φ2)p in four dimensions. With a momentum cut-off Λ it is shown that these theories are all distinct, admit spontaneous symmetry breaking, and have a nonperturbative structure in the coupling constant λ. In the limit that the momentum cut-off is taken to infinity, it is shown that the δ expansion of all these theories degenerates to the renormalized expansion of a single theory independent of p. That expansion is the renormalized weak-coupling expansion of λφ4. It is argued that all theories of this class are the same in the limit Λ → ∞. This universal behavior of all monomial interactions with the discrete symmetry φ → -φ is interpreted as a strong indication that all such theories are free, as λφ4 is believed to be. © 1990.
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收藏
页码:574 / 582
页数:9
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