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The three-loop effective potential of the massless O(N) φ4 theory is calculated analytically using techniques of dimensional regularization. We see a complete agreement between our result and Jackiw’s result which was obtained only up to two-loop order using a different regularization (cutoff regularization) method, but the same renormalization conditions. For an easy check of the mutual cancel...

The three-loop effective potential of the massless O(N) φ4 theory is calculated analytically using techniques of dimensional regularization. We see a complete agreement between our result and Jackiw’s result which was obtained only up to two-loop order using a different regularization (cutoff regularization) method, but the same renormalization conditions. For an easy check of the mutual cancel...

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This paper describes a new series of organometallic water-soluble chelators combining a redox moiety (ferrocene) and a selective Ca2+ chelator (BAPTA) separated by an ethynyl bridge. We report the synthesis and characterization of organometallic derivatives of the BAPTA chelator featuring one (2a) and two ferrocenyl (2b) moieties. Single crystal X-ray structural analysis on these chelators reve...

E ven though predictions about a cashless and checkless society have been made for many years, retail payment transactions made with electronic payment instruments still constitute only a small fraction of all payments made in the United States. 1 The rate of growth of electronic payments is estimated to exceed that of paper checks, but the number of checks written still increases each year, an...