2026/05/03 by F. S. Gama
Physics and Astronomy · #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics
paper · pdf · doi:10.1103/p78d-1n2n
We define a higher-derivative generalization of <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:mrow> <a:mi mathvariant="script">N</a:mi> <a:mo>=</a:mo> <a:mn>1</a:mn> </a:mrow> </a:math> and <d:math xmlns:d="http://www.w3.org/1998/Math/MathML" display="inline"> <d:mi mathvariant="script">N</d:mi> <d:mo>=</d:mo> <d:mn>2</d:mn> </d:math> supersymmetric Maxwell-Chern-Simons theories. In particular, the chosen higher-derivative operator is a polynomial function of the d’Alembertian of arbitrary degree, and it is introduced exclusively in the gauge sector. The main goal is to explicitly compute the one-loop quantum corrections to the superfield effective potential for these theories. This is carried out by means of background field quantization in a higher-derivative <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"> <g:msub> <g:mi>R</g:mi> <g:mi>ξ</g:mi> </g:msub> </g:math> gauge. The effective potential is obtained in closed form and expressed in terms of the roots of polynomial functions.