Particle production and hadronization temperature in the massive Schwinger model
Abstract
We study the pair production, string breaking, and hadronization of a receding electron-positron pair using the bosonized version of the massive Schwinger model in quantum electrodynamics in 1+1 space-time dimensions. Specifically, we study the dynamics of the electric field in Bjorken coordinates by splitting it into a coherent field and its Gaussian fluctuations. We find that the electric field shows damped oscillations, reflecting pair production. Interestingly, the computation of the asymptotic total particle density per rapidity interval for large masses can be fitted using a Boltzmann factor, where the temperature can be related to the hadronization temperature in QCD. Lastly, we discuss the possibility of an analog quantum simulation of the massive Schwinger model using ultracold atoms, explicitly matching the potential of the Schwinger model to the effective potential for the relative phase of two linearly coupled Bose-Einstein condensates.
- Publication:
-
Physical Review D
- Pub Date:
- August 2024
- DOI:
- 10.1103/PhysRevD.110.045017
- arXiv:
- arXiv:2406.04789
- Bibcode:
- 2024PhRvD.110d5017B
- Keywords:
-
- Formal aspects of field theory;
- field theory in curved space;
- High Energy Physics - Theory;
- Condensed Matter - Quantum Gases;
- General Relativity and Quantum Cosmology;
- High Energy Physics - Phenomenology
- E-Print:
- 15 pages, 8 figures. v2: 2 references added includes minor clarifications, matches published version