Abstract
We study an exactly solvable two-dimensional model which mimics the basic features of the standard model. This model combines chiral coupling with an infrared behavior which resembles low energy QCD. This is done by adding a Podolsky higher-order derivative term in the gauge field to the Lagrangian of the usual chiral Schwinger model. We adopt a finite temperature regularization procedure in order to calculate the non-trivial fermionic Jacobian and obtain the photon and fermion propagators, first at zero temperature and then at finite temperature in the imaginary and real time formalisms. Both singular and non-singular cases, corresponding to the choice of the regularization parameter, are treated. In the nonsingular case there is a tachyonic mode as usual in a higher order derivative theory, however in the singular case there is no tachyonic excitation in the spectrum.
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Natividade, C.P., de Souza Dutra, A. & Boschi-Filho, H. Chiral Schwinger model with a Podolsky term at finite temperature. Z. Phys. C - Particles and Fields 67, 687–693 (1995). https://doi.org/10.1007/BF01553996
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DOI: https://doi.org/10.1007/BF01553996