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 define a modified dimensional-regularization technique that overcomesseveral difficulties of the ordinary technique, and is specially designed towork efficiently in chiral and parity violating quantum field theories, inarbitrary dimensions greater than 2. When the dimension of spacetime iscontinued to complex values, spinors, vectors and tensors keep the componentsthey have in the physical dimension, therefore the $\gamma $ matrices are thestandard ones. Propagators are regularized with the help of evanescenthigher-derivative kinetic terms, which are of the Majorana type in the case ofchiral fermions. If the new terms are organized in a clever way, weighted powercounting provides an efficient control on the renormalization of the theory,and allows us to show that the resulting chiral dimensional regularization isconsistent to all orders. The new technique considerably simplifies the proofsof properties that hold to all orders, and makes them suitable to begeneralized to wider classes of models. Typical examples are therenormalizability of chiral gauge theories and the Adler-Bardeen theorem. Thedifficulty of explicit computations, on the other hand, may increase.

Weighted power counting and chiral dimensional regularization