Two-loop effective potential for generalized gauge fixing

被引:25
|
作者
Martin, Stephen P. [1 ]
Patel, Hiren H. [2 ]
机构
[1] Northern Illinois Univ, Dept Phys, De Kalb, IL 60115 USA
[2] Univ Massachusetts, Dept Phys, Amherst Ctr Fundamental Interact, Amherst, MA 01003 USA
基金
美国国家科学基金会;
关键词
RENORMALIZATION-GROUP EQUATIONS; QUANTUM-FIELD THEORY; HIGGS-BOSON MASS; SPONTANEOUS SYMMETRY-BREAKING; STANDARD-MODEL; ELECTROWEAK VACUUM; STABILITY BOUNDS; INVARIANCE; REGULARIZATION; ORDER;
D O I
10.1103/PhysRevD.98.076008
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We obtain the two-loop effective potential for general renormalizable theories, using a generalized gauge-fixing scheme that includes as special cases the background-field R. gauges, the Fermi gauges, and the familiar Landau gauge, and using dimensional regularization in the bare and MS renormalization schemes. As examples, the results are then specialized to the Abelian Higgs model and to the Standard Model. In the case of the Standard Model, we study how the vacuum expectation value and the minimum vacuum energy depend numerically on the gauge-fixing parameters. The results at fixed two-loop order exhibit nonconvergent behavior for sufficiently large gauge-fixing parameters; this can presumably be addressed by a resummation of higher-order contributions.
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页数:38
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