Calculating the anomalous supersymmetry breaking in Super-Yang-Mills theories with local coupling

Abstract

Supersymmetric Yang-Mills-theories with local gauge coupling have a new type of anomalous breaking, which appears as a breaking of supersymmetry in the Wess-Zumino-gauge. The anomalous breaking generates the two-loop order of the gauge $\beta$-function in terms of the one-loop $\beta$-function and the anomaly coefficient. We determine the anomaly coefficient in the Wess-Zumino-gauge by solving the relevant supersymmetry identities. For this purpose we use a background gauge and show that the anomaly coefficient is uniquely determined by convergent one-loop integrals. When evaluating the one-loop diagrams in the background gauge, it is seen that the anomaly coefficient is determined by the Feynman-gauge value of the one-loop vertex function to the topological term $G\tilde{G}$ at vanishing momenta.

22 pages, LaTeX, v2: references added

References in corpus (2)

• An anomalous breaking of supersymmetry in supersymmetric gauge theories with local coupling
• Non-renormalization theorems in softly broken SQED and the soft $\beta$-functions

Cited by in corpus (15)

• Renormalization of the Minimal Supersymmetric Standard Model
• The beta function of N=1 SYM in Differential Renormalization
• Regularization Independent Analysis of the Origin of Two Loop Contributions to N=1 Super Yang-Mills Beta Function
• Supersymmetric Yang-Mills theories with local coupling: The supersymmetric gauge
• Electroweak pinch technique to all orders
• Local Couplings and Sl(2,R) Invariance for Gauge Theories at One Loop
• Subtleties in the beta function calculation of N=1 supersymmetric gauge theories
• Space-time dependent couplings in N=1 SUSY gauge theories: Anomalies and Central Functions
• Supercurrent anomaly and gauge invariance in N=1 supersymmetric Yang-Mills theory
• Softly broken supersymmetric Yang-Mills theories: Renormalization and non-renormalization theorems
• Super Background Field Method for N=2 SYM
• SUSY Glue-Balls, Dynamical Symmetry Breaking and Non-Holomorphic Potentials
• The local renormalization of super-Yang-Mills theories
• The beta function of gauge theories at two loops in differential renormalization
• No Supersymmetry without Supergravity: Induced Supersymmetry Representations on Composite Effective Fields