Two-loop effective potential in noncommutative scalar field theory

Abstract

The renormalization of effective potential for the noncommutative scalar field theory is investigated to the two-loop approximation. It is seen that the nonplanar diagram does not appear in the one-loop potential. However, nonplanar diagram can become dominant in the two-loop level as the noncommutativity of geometry is sufficiently small. The result shows that the radiative corrections from the nonplanar diagrams have an inclination to induce the spontaneously symmetry breaking if it is not broken in the tree level, and have an inclination to restore the symmetry breaking if it has been broken in the tree level.

12pages, Latex. Add a Comment below Eq.(3.12)

References in corpus (1)

• Noncommutative Field Theory and Spontaneous Symmetry Breaking

Cited by in corpus (6)

• The Higgs Mechanism in Non-commutative Gauge Theories
• On the UV renormalizability of noncommutative field theories
• Superfield Effective Action in the Noncommutative Wess-Zumino Model
• High-Temperature Effective Potential of Noncommutative Scalar Field Theory: Reduction of Degree of Freedom by Noncommutativity
• Effective Potential on Fuzzy Sphere
• Effective Potential and Spontaneous Symmetry Breaking in the Noncommutative phi^6 Model