Year: 2025
Type: article
Abstract: We investigate the trans-series structure of a quantum mechanical system originating from a Lie-algebraic Kähler sigma model with multiple right-handed chiral fermions, extending previous results for the standard one-dimensional complex projective ( CP 1 ) model [T. Fujimori , Nonperturbative contributions from complexified solutions in C P N − 1 models, ; T. Fujimori Exact resurgent trans-series and multibion contributions to all orders, ] to its deformed counterpart. We identify and analyze saddle-point solutions and examine their contributions within the perturbative expansions of the ground-state energy, revealing that the ambiguity structure observed in the CP 1 model persists in the deformed model as well. Additionally, we explore the role of the elongation parameter and its potential impact on higher-loop corrections and propose that it becomes relevant in shaping the system’s quantum behavior from the three-loop level. This verifies that the trans-series framework provides a comprehensive approach to capturing the structure of quantum fluctuations and ambiguities in these deformed sigma models.
Author: Chao-Hsiang Sheu
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Funder: National Science Foundation
OpenAlex ID: W4409412237