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- W4385007376 abstract "Most of the computational evidence for the Bose$small-$Fermi duality of fundamental fields coupled to $U(N)$ Chern$small-$Simons theories originates in the large-$N$ calculations performed in the light-cone gauge. In this paper, we use another gauge, the 'temporal' gauge, to evaluate the finite temperature partition function of $U(N)$ coupled regular and critical fermions on $mathbb{R}^2$ at large $N$. We first set up the finite temperature gap equations, and then use tricks explored in arXiv:1410.0558 to solve these equations and evaluate the partition function. Our final results are in perfect agreement with earlier light-cone gauge results. The success of our 'temporal' gauge calculation potentially opens a path to computations that are awkward in light-cone gauge but more natural in the 'temporal' gauge, e.g. the evaluation of the thermal free energy on a finite-sized sphere." @default.
- W4385007376 created "2023-07-22" @default.
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- W4385007376 date "2023-07-20" @default.
- W4385007376 modified "2023-09-25" @default.
- W4385007376 title "The free energy of the large-$N$ fermionic Chern$small-$Simons theory in the 'temporal' gauge" @default.
- W4385007376 doi "https://doi.org/10.48550/arxiv.2307.11020" @default.
- W4385007376 hasPublicationYear "2023" @default.
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