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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We propose the 3-momentum sphere intersection regularization applied to theone and two fermion line integrals at finite temperature and chemicalpotential. The quark-antiquark polarization function in this new regularizationapproach is equivalent to the usual 3-momentum regularization, when theabsolute value of the external 3-momentum of the polarization is zero.Additionally, it respects the particle-antiparticle symmetry of meson states inthe Nambu$-$Jona-Lasinio (NJL) model for all values of temperature and chemicalpotential. Without this symmetry, in-medium cross sections calculated in the3-momentum regularized NJL model are not consistent. In order to demonstratethe difference between the usual 3-momentum regularization with the oneproposed in this work, we study the quark-quark and quark-antiquark crosssections in both regularization schemes. To this end we use the standard$SU(3)$ NJL model, with four and six quark interactions. We observe majorquantitative and qualitative differences when comparing quark-quark crosssections in both schemes. The quark-antiquark cross sections, on the otherhand, are very similar in both regularizations, owning to the equivalencebetween the regularizations when the absolute value of the external 3-momentumis zero.

A new approach to the 3-momentum regularization of the in-medium one and  two fermion line integrals with applications to cross sections in the  Nambu--Jona-Lasinio model