Sebastian T¨opfel, Andreas Geißel, and Jens Braun, "Subtleties in the calculation of correlation functions for hot and dense systems," arXiv:2410.06674v1 [nucl-th] 9 Oct 2024
This research paper aims to highlight the subtleties and potential pitfalls in calculating correlation functions for hot and dense systems, particularly those involving fermions at finite chemical potential, within the framework of the functional renormalization group (fRG) approach.
The authors utilize the framework of the functional renormalization group (fRG) approach and analyze the impact of changing the order of mathematical operations, such as differentiation, integration, and taking limits, on the calculation of loop integrals in correlation functions. They illustrate their findings with examples from the Gross-Neveu-Yukawa model and quantum electrodynamics (QED) in the limit of many fermion flavors.
The authors conclude that careful consideration of the order of mathematical operations is crucial for accurate correlation function calculations in hot and dense systems. They suggest that, within the fRG approach, prioritizing finite-temperature calculations and taking the zero-temperature limit afterward might be more reliable.
This research provides valuable insights into the intricacies of correlation function calculations in systems with finite temperature and chemical potential, which are relevant for understanding the behavior of matter under extreme conditions, such as those found in neutron stars and heavy-ion collisions.
The study primarily focuses on the fRG approach and specific models (Gross-Neveu-Yukawa and QED in the many-flavor limit). Further research could explore the generalizability of these findings to other theoretical frameworks and more complex systems.
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