user contributions licensed under cc by-sa 3.0 with attribution required. Migration to Bielefeld University was successful! To learn more, see our tips on writing great answers. To avoid this verification in future, please. Consider the (effective) QED Lagrangian, $$\mathcal{L}=-\frac{1}{4}Z_3F_{\mu\nu}^2+Z_2\bar{\psi}i\gamma^{\mu}\partial_{\mu}\psi-Z_2Z_mm\bar{\psi}\psi+Z_eZ_2\sqrt{Z_3}e\bar{\psi}\gamma^{\mu}A_{\mu}\psi+\sum_j C_j\mathcal{O}_j$$, where $\mathcal{O}_j$ are local operators involving any number of $A$ fields and $\psi$ fields (and of course, derivatives). Transition of electric charge to "magnetic charge" when $\alpha$ gets >> 1 in QED? Sect. To subscribe to this RSS feed, copy and paste this URL into your RSS reader. PhysicsOverflow is an open platform for community peer review and graduate-level Physics discussion. Email me at this address if a comment is added after mine: Email me if a comment is added after mine. Consider the (effective) QED Lagrangian, $$\mathcal{L}=-\frac{1}{4}Z_3F_{\mu\nu}^2+Z_2\bar{\psi}i\gamma^{\mu}\partial_{\mu}\psi-Z_2Z_mm\bar{\psi}\psi+Z_eZ_2\sqrt{Z_3}e\bar{\psi}\gamma^{\mu}A_{\mu}\psi+\sum_j C_j\mathcal{O}_j$$, where $\mathcal{O}_j$ are local operators involving any number of $A$ fields and $\psi$ fields (and of course, derivatives). rev 2020.11.24.38066, Sorry, we no longer support Internet Explorer, The best answers are voted up and rise to the top, Physics Stack Exchange works best with JavaScript enabled, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site, Learn more about Stack Overflow the company, Learn more about hiring developers or posting ads with us, How to Calculate Anomalous Dimensions in (Effective) QED, “Question closed” notifications experiment results and graduation, MAINTENANCE WARNING: Possible downtime early morning Dec 2/4/9 UTC (8:30PM…. Welcome to PhysicsOverflow! I am following the conventions here. How can I deal with claims of technical difficulties for an online exam? But to do all that you need the Feynman rule for the vertex, I couldn't guess it sou I computed the tree-level process using LSZ formula to get the rule and use in the one-loop diagrams. ADS MathSciNet CrossRef Google Scholar [5] W. Rantner and X.-G. Wen, Spin correlations in the algebraic spin liquid: Implications for high-T c superconductors, Phys. What tree-level Feynman diagrams are added to QED if magnetic monopoles exist? I want to calculate the anomalous dimension of this operator at one loop. Journal of High Energy Physics, Jun 2018 Andrey Grozin. Please help promote PhysicsOverflow ads elsewhere if you like it. Please do help out in categorising submissions. I know that this is indicated by $Z$ but I am clueless about how to proceed. QCD and QED Anomalous Dimension Matrix for Weak Decays at NNLO Martin Gorbahn Vollst andiger Abdruck der von der Fakult at f ur Physik der Technischen Universit at Mun- chen zur Erlangung des akademischen Grades eines Doktors der Naturwissenschaften (Dr. rer. How do smaller capacitors filter out higher frequencies than larger values? By using our site, you acknowledge that you have read and understand our Cookie Policy, Privacy Policy, and our Terms of Service. Vorsitzender: Univ.-Prof. Dr. Stephan Paul Pr ufer der Dissertation: 1. Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics. nat.) Consider the (effective) QED Lagrangian. How is the perturbative expansion justified in QED if we make $A_{\mu}\to{}\frac{A_{\mu}}{e}$? How to Calculate Anomalous Dimensions in (Effective) QED. Could anyone give me a hint or a reference which might help me perform the calculation? genehmigten Dissertation. Why is it easier to carry a person while spinning than not spinning? reply from a potential PhD advisor? Four-loop cusp anomalous dimension in QED. Doubt in Dyson's argumet about the divergent nature of the perturbative expansion in QED. Introduce a coupling g to the interaction. “…presume not God to scan” like a puzzle–need to be analysed. It only takes a minute to sign up. Why is the term $m\delta_2\delta_m\bar{\psi}\psi$ ignored in the QED Lagrangian?

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