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Peer-reviewedCC BY 4.0Journal of High Energy Physics

Schwinger and Schwinger-Thirring model on squashed S2

  • Aashish Chahal1
  • Rajesh Kumar Gupta2
  1. 1The Johns Hopkins University
  2. 2Indian Institute of Technology Ropar
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Abstract

A bstract : The Schwinger model is a model of a two-dimensional U (1) gauge theory coupled to a Dirac fermion. It is an interesting model that exhibits phenomena like confinement and chiral symmetry breaking. In this paper, we study the massless Schwinger and Schwinger-Thirring model on a squashed sphere, Sb2 S b 2 . These models are examples of interacting non-supersymmetric theories where the exact computations in the coupling parameter are possible. Squashing provides a smooth deformation of the metric away from the spherical geometry. We compute the partition function, and the expectation value of the Wilson loop and the fermion condensate exactly in the Schwinger and Schwinger-Thirring model as a function of the squashing parameter and the coupling constant. We then obtain variations in these quantities in response to the squashing deformation. These contain information about correlation functions involving the energy-momentum tensor. We evaluate these variations in the first order in the squashing parameter and exactly in the coupling constant.

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Cite

BibTeXRIS
BibTeX
@article{chahal2026schwinger,
  title = {{Schwinger and Schwinger-Thirring model on squashed S2}},
  author = {Aashish Chahal and Rajesh Kumar Gupta},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = oct,
  doi = {10.1007/jhep10(2026)059},
  url = {https://link.springer.com/10.1007/JHEP10(2026)059},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Schwinger and Schwinger-Thirring model on squashed S2
AU  - Aashish Chahal
AU  - Rajesh Kumar Gupta
PY  - 2026
DA  - 2026/10/05
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep10(2026)059
UR  - https://link.springer.com/10.1007/JHEP10(2026)059
AB  - A bstract : The Schwinger model is a model of a two-dimensional U (1) gauge theory coupled to a Dirac fermion. It is an interesting model that exhibits phenomena like confinement and chiral symmetry breaking. In this paper, we study the massless Schwinger and Schwinger-Thirring model on a squashed sphere, S_b^2 S b 2 . These models are examples of interacting non-supersymmetric theories where the exact computations in the coupling parameter are possible. Squashing provides a smooth deformation of the metric away from the spherical geometry. We compute the partition function, and the expectation value of the Wilson loop and the fermion condensate exactly in the Schwinger and Schwinger-Thirring model as a function of the squashing parameter and the coupling constant. We then obtain variations in these quantities in response to the squashing deformation. These contain information about correlation functions involving the energy-momentum tensor. We evaluate these variations in the first order in the squashing parameter and exactly in the coupling constant.
SN  - 1029-8479
ER  -