English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We perform an explicit one-loop calculation for the gravitationalcontributions to the two-, three- and four-point gauge Green's functions withpaying attention to the quadratic divergences. It is shown for the first timein the diagrammatic calculation that the Slavnov-Taylor identities arepreserved even if the quantum graviton effects are included at one-loop level,such a conclusion is independent of the choice of regularization schemes. Wealso present a regularization scheme independent calculation based on the gaugecondition independent background field framework of Vilkovisky-DeWitt'seffective action with focusing on both the quadratic divergence and quarticdivergence that is not discussed before. With the harmonic gauge condition, theresults computed by using the traditional background field method canconsistently be recovered from the Vilkovisky-DeWitt's effective actionapproach by simply taking a limiting case, and are found to be the same as theones yielded by the diagrammatic calculation. As a consequence, in all thecalculations, the symmetry-preserving and divergent-behavior-preserving loopregularization method can consistently lead to a nontrivial gravitationalcontribution to the gauge coupling constant with an asymptotic free power-lawrunning at one loop near the Planck scale.

Gravitational Contributions to Gauge Green's Functions and Asymptotic Free Power-Law Running of Gauge Coupling