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Evaluation of the bilinear condensate of the planar Thirring model in the strongly coupled region

https://orcid.org/0009-0000-1798-5086

Department of Physics, College of Science, Swansea University, Swansea SA2 8PP, UK

E-mail Address: jagworthy887140@swansea.ac.uk

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and

https://orcid.org/0000-0001-5720-7852

Department of Mathematical Sciences, University of Liverpool, Liverpool L69 3BX, UK

E-mail Address: simon.hands@liverpool.ac.uk

Corresponding author.

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https://doi.org/10.1142/S0129183125500020Cited by:0 (Source: Crossref)

Abstract

The planar Thirring model is thought to have a strongly coupled critical point for a single flavor of fermion. We look at the calculation of the bilinear condensate in this critical region, and its characterization via an equation of state. Since the computation is numerically challenging, we investigate the improved Dirac operators. We present findings on different methods of calculation using a rational hybrid Monte-Carlo scheme, and calculations of the bilinear condensate, an equation of state and the associated critical exponents. Overlap and domain wall Dirac operators, and variants therein are considered.

Keywords:

PACS: 11.15.Ha, 11.10.Kk, 11.30.Fs

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History

Received 14 October 2024

Accepted 17 October 2024

Published: 23 December 2024

Keywords