Abstract
For a three-dimensional higher-derivative scalar superfield model, and a four-dimensional higher-derivative chiral superfield model, where which the higher-derivative operators are described by polynomials of arbitrary degrees, we explicitly calculate the two-loop effective potential.
Highlights
The effective potential (EP) is defined to be the zeroorder term in the derivative expansion of the effective action [1,2]. It is used as a powerful theoretical tool for investigating issues related to the ground state of a theory, such as false vacuum decay [3], spontaneous symmetry breaking [2], and the phenomenon of symmetry restoration [4]
In supersymmetric theories, it is natural to describe the low-energy effective dynamics in terms of the superfield effective potential (SEP) defined in [5]. The reason for it is that the SEP is formulated in the superspace, so that it can be calculated entirely on the base of superfield methods, which allows us to maintain the manifest supersymmetry at all stages of the calculation
The ghost degrees of freedom can be avoided if one allows an infinite number of derivatives in the action of the theory, where the infinite series in derivatives of the fields represent the expansion of an entire function [28]
Summary
The effective potential (EP) is defined to be the zeroorder term in the derivative expansion of the effective action [1,2]. In supersymmetric theories, it is natural to describe the low-energy effective dynamics in terms of the superfield effective potential (SEP) defined in [5]. The reason for it is that the SEP is formulated in the superspace, so that it can be calculated entirely on the base of superfield methods, which allows us to maintain the manifest supersymmetry at all stages of the calculation. The ghost degrees of freedom can be avoided if one allows an infinite number of derivatives in the action of the theory, where the infinite series in derivatives of the fields represent the expansion of an entire function [28] We will limit ourselves to the Euclidean space-time which is more convenient for treating higher-derivative theories within need to solve the ghost problem [39]
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