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

Most of the computational evidence for the Bose$\small-$Fermi duality offundamental fields coupled to $U(N)$ Chern$\small-$Simons theories originatesin the large-$N$ calculations performed in the light-cone gauge. In this paper,we use another gauge, the 'temporal' gauge, to evaluate the finite temperaturepartition function of $U(N)$ coupled regular and critical fermions on$\mathbb{R}^2$ at large $N$. We first set up the finite temperature gapequations, and then use tricks explored in arXiv:1410.0558 to solve theseequations and evaluate the partition function. Our final results are in perfectagreement with earlier light-cone gauge results. The success of our 'temporal'gauge calculation potentially opens a path to computations that are awkward inlight-cone gauge but more natural in the 'temporal' gauge, e.g. the evaluationof the thermal free energy on a finite-sized sphere.

The free energy of the large-$N$ fermionic Chern$\small-$Simons theory in the 'temporal' gauge