Gauge coupling field, currents, anomalies and super-Yang-Mills effective actions

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• 作者：Nicola Ambrosetti^a ; Daniel Arnold^a ; Jean-Pierre Derendinger^a ; ^{derendinger@itp.unibe.ch} ; Jelle Hartong^b
• 刊名：Nuclear Physics B
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：915
• 期：Complete
• 页码：285-334
• 全文大小：646 K
• 卷排序：915

文摘

Working with a gauge coupling field in a linear superfield, we construct effective Lagrangians for N=1N=1 super-Yang–Mills theory fully compatible with the expected all-order behavior or physical quantities. Using the one-loop dependence on its ultraviolet cutoff and anomaly matching or cancellation of R and dilatation anomalies, we obtain the Wilsonian effective Lagrangian. With similar anomaly matching or cancellation methods, we derive the effective action for gaugino condensates, as a function of the real coupling field. Both effective actions lead to a derivation of the NSVZ β   function from algebraic arguments only. The extension of results to N=2N=2 theories or to matter systems is briefly considered. The main tool for the discussion of anomalies is a generic supercurrent structure with 16B+16F16B+16F operators (the SS multiplet), which we derive using superspace identities and field equations for a fully general gauge theory Lagrangian with the linear gauge coupling superfield, and with various U(1)RU(1)R currents. As a byproduct, we show under which conditions the SS multiplet can be improved to contain the Callan–Coleman–Jackiw energy-momentum tensor whose trace measures the breaking of scale invariance.